Numbers & Operations

Problem 8701

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si cuentas desde el 1 de enero de 2000, ¿cuándo llegarás a un millón y a un billón de latidos? Estima tu frecuencia cardiaca en latidos por minuto, hora y día.

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Problem 8702

Calcula el tiempo para 1000 latidos. Si empiezas a contar a la medianoche del 1 de enero de 2000, ¿cuándo es el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

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Problem 8703

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? ¿Cuándo contarías el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia.

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Problem 8704

Convert 0.386 g0.386 \mathrm{~g} to milligrams using the metric system.

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Problem 8705

Calculate the product: 0.2×0.8=0.2 \times 0.8=

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Problem 8706

Calculate 7,854÷217,854 \div 21.

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Problem 8707

Round the number 54305430 to the closest thousand.

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Problem 8708

Calculate 0.085631×1.320.085631 \times 1.32 and round the result to the correct number of significant figures.

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Problem 8709

Count the significant figures in the number 1.006×1071.006 \times 10^{7}.

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Problem 8710

Solve: 58÷34\frac{5}{8} \div \frac{3}{4}

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Problem 8711

Solve: 26.04÷6.226.04 \div -6.2

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Problem 8712

Find the density of a metal piece with mass 30.4571 g and water volume change from 6.45 cm36.45 \mathrm{~cm}^{3} to 9.90 cm39.90 \mathrm{~cm}^{3}.

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Problem 8713

Convert 23.2 kilometers to centimeters using the conversion factor: 1 km = 100,000 cm.

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Problem 8714

Convert the improper fraction 183\frac{18}{3} to a mixed number and simplify.

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Problem 8715

A tree grew 2.62 feet in 4 years. What is its annual growth rate in feet per year?

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Problem 8716

Tyler took 36 pictures and puts 6 on each page. How many pages does he need? Calculate: 36÷636 \div 6.

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Problem 8717

Hank cut blocks that are 2382 \frac{3}{8} feet long. What is the total length of 8 blocks laid end-to-end?

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Problem 8718

Hank cut blocks of wood 2382 \frac{3}{8} feet long. What is the total length of 8 blocks laid end-to-end?

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Problem 8719

Mac bought 48 lbs of hamburger, using bags that hold 2232 \frac{2}{3} lbs each. How many bags did he use?

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Problem 8720

Simplify the expression: 42(7)+22|-4-2|(-7)+2^{2}. What is the result?

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Problem 8721

Simplify the expression: 922+3(79)=9 - 2^{2} + 3 - (7 - 9) = (Provide your answer.)

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Problem 8722

Find the set of numbers that are both rational and irrational. Choose the correct set: A. \varnothing B. {0}\{0\} C. {x,x}\{\sqrt{x}, \sqrt{-x}\} D. {0,1,2,3,4,5,}\{0,1,2,3,4,5, \ldots\}

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Problem 8723

Graph the set {3,2,0,3,7}\{-3,-2,0,3,7\} on a number line and mark -3.

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Problem 8724

Calculate the total mass of a beaker (35.4478 g ± 0.0002 g) and two metals (3.1162 g ± 0.0002 g, 4.6617 g ± 0.0002 g) with error.

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Problem 8725

Identify natural numbers from the set: {35,1.4,2,0,414,12,15,π}\{-\frac{3}{5}, 1.\overline{4}, \sqrt{2}, 0, -4\frac{1}{4}, 12, -15, \pi\}. Options: A. 12, B. 414-4\frac{1}{4}, C. -15, D. 0, E. π\pi, F. 1.41.\overline{4}, G. 2\sqrt{2}, H. 35-\frac{3}{5}.

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Problem 8726

Calculate the mass of water added to a beaker that weighed 26.2411 g±0.0002 g26.2411 \mathrm{~g} \pm 0.0002 \mathrm{~g} and now weighs 33.1932 g±0.0002 g33.1932 \mathrm{~g} \pm 0.0002 \mathrm{~g}.

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Problem 8727

Find the unit rate (price per cup) for popcorn in the small, medium, and large combos at Carmike Cinema.

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Problem 8729

Convert 0.0001dg0.0001 \mathrm{dg} to pg\mathrm{pg}.

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Problem 8730

Convert 9.87×1030ml9.87 \times 10^{-30} \mathrm{ml} to Tl\mathrm{Tl}.

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Problem 8731

Convert 0.0001dg0.0001 \mathrm{dg} to picograms (pg) using the SI unit conversion method.

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Problem 8732

Convert 10 km10 \mathrm{~km} to feet using 1 m=3.28084ft1 \mathrm{~m} = 3.28084 \mathrm{ft}. What is the result?

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Problem 8733

A newborn elephant weighs 225lb225 \mathrm{lb}. Convert this to kilograms using 1 kg=2.2lb1 \mathrm{~kg}=2.2 \mathrm{lb}.

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Problem 8734

Ein Händler kauft 118t1 \frac{1}{8} t Erdnüsse. 12%12\% sind Schale, 88%88\% Nüsse. Nach Röstung kommen 10 kg10 \mathrm{~kg} Salz dazu.
a) Wie viel kg Nüsse (mit Salz) sind verkaufbar? b) 25\frac{2}{5} der Nüsse gehen nach Österreich, 38\frac{3}{8} nach Europa. Wie viel bleibt in Deutschland und wie viel kg ist das?

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Problem 8735

Ein Händler kauft 118t1 \frac{1}{8} t Erdnüsse. 12%12\% sind Schale, 88%88\% Nüsse. Nach Röstung kommen 10 kg10 \mathrm{~kg} Salz hinzu. a) Wie viel kg Nüsse (mit Salz) sind verkaufbar? b) Welcher Bruchteil und wie viel kg bleiben in Deutschland, wenn 25\frac{2}{5} nach Österreich und 38\frac{3}{8} ins restliche Europa gehen?

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Problem 8736

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

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Problem 8737

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

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Problem 8738

Solve the equations: T425=T-4-25=, 3712=37-12=, 1718=17-18=, 102=10-2=, 11+4=-11+4=, 3020=-30-20=, 1+8=-1+8=.

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Problem 8739

Find how many days until the field hockey team (every 4 days) and soccer team (every 6 days) share the field again. Use LCM.

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Problem 8740

Find the minimum packs of soccer balls (4 per pack) needed to equalize tennis balls (18 per pack) and golf balls (12 per pack).

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Problem 8741

Sierra baked 80 chocolate chip cookies and 64 sugar cookies. What is the greatest number of containers for equal distribution?

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Problem 8742

Calculate 10×1010 \times 10 using the equation: C×10+×10=10×10C \times 10 + - \times 10 = 10 \times 10. What is 10×1010 \times 10?

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Problem 8743

Identify the irrational number from the options: A. 7\sqrt{7}, B. -2.7, C. 27\frac{2}{7}, D. 2.72 . \overline{7}.

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Problem 8744

Find the simplified fraction for the decimal 0.320.32. Options: A. 825\frac{8}{25} B. 1650\frac{16}{50} C. 32\frac{3}{2} D. 32100\frac{32}{100}

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Problem 8745

Identify the number types for 73\frac{7}{3}. Options: A. Real, irrational B. Real, rational C. Rational, integer D. Real, integer

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Problem 8746

What is the decimal equivalent of 163\frac{16}{3}? A. 5.35.\overline{3} B. 5.3 C. 16.3 D. 0.1875

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Problem 8747

What is the fraction for the repeating decimal 0.60.\overline{6}? A. 13\frac{1}{3} B. 66100\frac{66}{100} C. 23\frac{2}{3} D. 610\frac{6}{10}

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Problem 8748

Find which number is closest to 1010: A. 98\sqrt{98}, B. 99\sqrt{99}, C. 102\sqrt{102}, D. 97\sqrt{97}.

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Problem 8749

Marlene estimates 42\sqrt{42}. What should she do next? A. Square numbers between 6.5 and 6.6. B. Estimate 6.50. C. Average 6.4 and 6.5. D. Square numbers between 6.4 and 6.5.

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Problem 8750

Find the value of 323^{-2}. A. 19\frac{1}{9} B. -6 C. 19-\frac{1}{9} D. -9

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Problem 8751

Which number is closest to 77? A. 51\sqrt{51} B. 46\sqrt{46} C. 50\sqrt{50} D. 47\sqrt{47}

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Problem 8752

Calculate 60÷2(3+7)60 \div 2(3+7).

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Problem 8753

Calculate the total cost for 3 meals at \$8.99, 2 sodas at \$1.50, and 1 tea at \$1.25. Evaluate the expression.

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Problem 8754

Aisha bought 6 notebooks at \$0.39, 2 pencil packs at \$0.79, and a binder at \$1.99. Find the total spent.

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Problem 8755

A surveying chain with 1000 links measures 0.0333 km0.0333 \mathrm{~km}. Find the length of one link in cm as a decimal.

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Problem 8756

Evaluate 1223[4(14)(18)]12^{2}-3\left[4\left(\frac{1}{4}\right)-\left(1^{8}\right)\right].

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Problem 8757

A meal costs \46.80.Whatisthetotalcostwitha 46.80. What is the total cost with a 15\%$ tip? The total cost is \$

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Problem 8758

In a class of 840 students, how many would rank flexible hours as their top benefit if 42%42\% prefer it? Round to nearest whole number.

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Problem 8759

Which situation matches the expression 20+62-20 + 62? a) 20 m above sea level to 42 m above sea level. b) 20 m below sea level to 42 m above sea level.

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Problem 8760

Brenda's bank balance was $20-\$ 20. After a \$10 fee for the negative balance, what is her new balance?

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Problem 8761

Did Mr. Oldham correctly solve 3(5)3 - (-5) to get -8? If not, what is the right answer and his mistake?

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Problem 8762

Calculate: 8(16)=8 - (-16) =

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Problem 8763

Calculate the sum: 4.520+18.03+0.2=?4.520 + 18.03 + 0.2 = ?

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Problem 8764

Evaluate (5)2(-5)^{2}.

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Problem 8765

Organize these transactions by date, then calculate your balance after each:
1. Apr 29: balance \$237.47
2. Apr 29: write check \#115 for \$18.00
3. Apr 30: paycheck \$62.75
4. May 4: deposit check from grandma \$25.00
5. May 5: ATM withdrawal \$20 + \$3 fee
6. May 12: write check \#116 for \$51.16
7. May 10: receive \$20 from sister
8. May 12: ATM withdrawal \$525
9. May 16: deposit paycheck \$265.65
10. May 12: deposit birthday check \$35 (received on May 12, deposited on May 17)

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Problem 8766

Calculate the expression using the order of operations: 42+6[12÷(59)]-4^{2}+6[12 \div(5-9)]. What is the result?

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Problem 8767

Convert the number 2.58×1032.58 \times 10^{-3} to decimal notation.

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Problem 8768

Divide and simplify: 52÷12=?\frac{5}{2} \div \frac{1}{2}=?

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Problem 8769

What is the absolute value of -5.1? Calculate 5.1|-5.1|.

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Problem 8770

Convert 355,000 to scientific notation. 355,000= 355,000 =

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Problem 8771

Convert 0.000006 and 300 to scientific notation, then find and express the quotient in scientific notation.
0.000006 =
300 =
0.000006300= \frac{0.000006}{300}=

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Problem 8772

Calculate the product of (3)(6.12)0.3(3) \cdot (6.12) \cdot 0.3.

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Problem 8773

Simplify (3)2+(4)(9)(-3)^{2} + (-4)(-9).

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Problem 8774

Convert 3.4 meters to centimeters. How many centimeters is that? (Use the conversion: 1 m = 100 cm)

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Problem 8775

Which two expressions yield a value greater than 1? A) 23×5\frac{2}{3} \times 5, B) 13÷25\frac{1}{3} \div \frac{2}{5}, C) 53×18\frac{5}{3} \times \frac{1}{8}, D) 34×23\frac{3}{4} \times \frac{2}{3}, E) 23÷25\frac{2}{3} \div \frac{2}{5}.

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Problem 8776

Calculate 10×1010 \times 10.

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Problem 8777

Identify the valid U.S. currency denomination: A. \$1000, B. \$5000, C. \$500, D. \$100.

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Problem 8778

Mavis has 33 nickels, 67 dimes, 19 quarters, and 14 fifty-cent pieces. What is her total money? A. \$20.10 B. \$18.40 C. \$27.30 D. \$21.35

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Problem 8779

Royce started with \$ 171.26. After deposits of \$ 60.76, \$ 29.79, \$ 89.31 and withdrawals of \$ 14.82, \$ 46.79, \$ 55.52, how much does he have now?

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Problem 8780

Cynthia buys a heater for \$181.25. She pays with 2 \$50 bills, 7 \$10 bills, and 12 \$1 bills. What's her change?

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Problem 8781

Cynthia buys a heater for \$181.25, pays with 2 \$50, 7 \$10, and 12 \$1 bills. How much change does she get?

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Problem 8782

Dione has 3 rolls of 50 pennies, 4 rolls of 40 nickels, 5 rolls of 50 dimes, and 6 rolls of 40 quarters. Total value?

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Problem 8783

Identify which of these values can be a probability: 7\sqrt{7}, 3-3, 17\sqrt{\frac{1}{7}}, 0.866, 431\frac{4}{31}.

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Problem 8784

Identify which value cannot be a probability: 110\sqrt{\frac{1}{10}}, 2, 1.3662, 2140\frac{21}{40}, 3\sqrt{3}.

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Problem 8785

Calculate the state income tax for a salary of \$60,000 using the given progressive tax rates. Round to the nearest dollar.

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Problem 8786

What is the probability of rolling a "4" or a "5" on a 6-sided die? Provide your answer as a fraction or decimal (3 digits).

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Problem 8787

The employee's biweekly insurance cost is $[6,760×0.3/26]\$[6,760 \times 0.3 / 26].

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Problem 8788

The employee pays 20% of \$2,470 annually. What is the biweekly deduction from their paycheck? Biweekly Insurance Cost \$[?]

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Problem 8789

Determine if the sum 811+2\frac{8}{11}+\sqrt{2} is rational or irrational.

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Problem 8790

Determine if the sum 29+911\frac{2}{9}+\frac{9}{11} is rational or irrational.

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Problem 8791

Determine if the product 12×38\sqrt{12} \times \frac{3}{8} is rational or irrational.

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Problem 8792

Determine if the product is rational or irrational: 15×13-\frac{1}{5} \times \frac{1}{3}.

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Problem 8793

Calculate 91045\frac{9}{10}-\frac{4}{5}.

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Problem 8794

Kara donates \$ 18.18 monthly for 12 months. Total donation after 12 months? A. \$ 217.06 B. \$ 217.16 C. \$ 218.06 D. \$ 218.16

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Problem 8795

Mr. Coletti made 4134 \frac{1}{3} pounds of pudding. If he served 16\frac{1}{6} pound portions, how many portions did he serve?

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Problem 8796

What is 4%4\% of 1.36×1041.36 \times 10^{4}? Options: A. 340, B. 544, C. 3,400, D. 5,440, E. 54,400.

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Problem 8797

Find the least common denominator of 435,177,322\frac{4}{35}, \frac{1}{77}, \frac{3}{22}. A. 110 B. 770 C. 2,695 D. 8,470 E. \$ 9,290

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Problem 8798

True or False: 7×927 \times 92 equals (7×90)+(7×2)(7 \times 90) + (7 \times 2)?

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Problem 8799

Simplify the expression 37×119\frac{3}{7} \times \frac{11}{9}.

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Problem 8800

Calculate the expression step-by-step: 6+546+7\frac{6+5 \cdot 4}{6+7}. What is the result?

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