Math / Numbers & Operations

QuestionThe recipe makes close to $9 \frac{1}{6}$ cups of Sprinkle Chow. After the show, the co-host eats $3 \frac{1}{8}$ cups of Sprinkle Chow and the show's producer eats $4 \frac{1}{3}$ cups. How much Sprinkle Chow does that leave for you to take home?

Studdy Solution

STEP 1

1. The total amount of Sprinkle Chow made is $9 \frac{1}{6}$ cups.
2. The co-host eats $3 \frac{1}{8}$ cups.
3. The producer eats $4 \frac{1}{3}$ cups.
4. We need to find out how much Sprinkle Chow is left.

STEP 2

1. Convert mixed numbers to improper fractions.
2. Subtract the amounts eaten from the total.
3. Convert the result back to a mixed number if necessary.

STEP 3

Convert $9 \frac{1}{6}$ to an improper fraction.
$9 \frac{1}{6} = \frac{55}{6}$

STEP 4

Convert $3 \frac{1}{8}$ to an improper fraction.
$3 \frac{1}{8} = \frac{25}{8}$

STEP 5

Convert $4 \frac{1}{3}$ to an improper fraction.
$4 \frac{1}{3} = \frac{13}{3}$

STEP 6

Find a common denominator for the fractions $\frac{55}{6}$ , $\frac{25}{8}$ , and $\frac{13}{3}$ .
The least common denominator is $24$ .

STEP 7

Convert $\frac{55}{6}$ to a fraction with a denominator of $24$ .
$\frac{55}{6} = \frac{220}{24}$

STEP 8

Convert $\frac{25}{8}$ to a fraction with a denominator of $24$ .
$\frac{25}{8} = \frac{75}{24}$

STEP 9

Convert $\frac{13}{3}$ to a fraction with a denominator of $24$ .
$\frac{13}{3} = \frac{104}{24}$

STEP 10

Subtract the amounts eaten from the total.
$\frac{220}{24} - \frac{75}{24} - \frac{104}{24} = \frac{220 - 75 - 104}{24} = \frac{41}{24}$

STEP 11

Convert $\frac{41}{24}$ back to a mixed number.
$\frac{41}{24} = 1 \frac{17}{24}$
The amount of Sprinkle Chow left for you to take home is:
$\boxed{1 \frac{17}{24} \text{ cups}}$

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QuestionThe recipe makes close to $9 \frac{1}{6}$ cups of Sprinkle Chow. After the show, the co-host eats $3 \frac{1}{8}$ cups of Sprinkle Chow and the show's producer eats $4 \frac{1}{3}$ cups. How much Sprinkle Chow does that leave for you to take home?

Studdy Solution

STEP 1

1. The total amount of Sprinkle Chow made is $9 \frac{1}{6}$ cups.
2. The co-host eats $3 \frac{1}{8}$ cups.
3. The producer eats $4 \frac{1}{3}$ cups.
4. We need to find out how much Sprinkle Chow is left.

STEP 2

1. Convert mixed numbers to improper fractions.
2. Subtract the amounts eaten from the total.
3. Convert the result back to a mixed number if necessary.

STEP 3

Convert $9 \frac{1}{6}$ to an improper fraction.
$9 \frac{1}{6} = \frac{55}{6}$

STEP 4

Convert $3 \frac{1}{8}$ to an improper fraction.
$3 \frac{1}{8} = \frac{25}{8}$

STEP 5

Convert $4 \frac{1}{3}$ to an improper fraction.
$4 \frac{1}{3} = \frac{13}{3}$

STEP 6

Find a common denominator for the fractions $\frac{55}{6}$ , $\frac{25}{8}$ , and $\frac{13}{3}$ .
The least common denominator is $24$ .

STEP 7

Convert $\frac{55}{6}$ to a fraction with a denominator of $24$ .
$\frac{55}{6} = \frac{220}{24}$

STEP 8

Convert $\frac{25}{8}$ to a fraction with a denominator of $24$ .
$\frac{25}{8} = \frac{75}{24}$

STEP 9

Convert $\frac{13}{3}$ to a fraction with a denominator of $24$ .
$\frac{13}{3} = \frac{104}{24}$

STEP 10

Subtract the amounts eaten from the total.
$\frac{220}{24} - \frac{75}{24} - \frac{104}{24} = \frac{220 - 75 - 104}{24} = \frac{41}{24}$

STEP 11

Convert $\frac{41}{24}$ back to a mixed number.
$\frac{41}{24} = 1 \frac{17}{24}$
The amount of Sprinkle Chow left for you to take home is:
$\boxed{1 \frac{17}{24} \text{ cups}}$

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QuestionThe recipe makes close to 9169 \frac{1}{6}961​ cups of Sprinkle Chow. After the show, the co-host eats 3183 \frac{1}{8}381​ cups of Sprinkle Chow and the show's producer eats 4134 \frac{1}{3}431​ cups. How much Sprinkle Chow does that leave for you to take home?

Studdy Solution

STEP 1

1. The total amount of Sprinkle Chow made is 9169 \frac{1}{6}961​ cups.2. The co-host eats 3183 \frac{1}{8}381​ cups.3. The producer eats 4134 \frac{1}{3}431​ cups.4. We need to find out how much Sprinkle Chow is left.

STEP 2

1. Convert mixed numbers to improper fractions.2. Subtract the amounts eaten from the total.3. Convert the result back to a mixed number if necessary.

STEP 3

Convert 9169 \frac{1}{6}961​ to an improper fraction.916=556 9 \frac{1}{6} = \frac{55}{6} 961​=655​

STEP 4

Convert 3183 \frac{1}{8}381​ to an improper fraction.318=258 3 \frac{1}{8} = \frac{25}{8} 381​=825​

STEP 5

Convert 4134 \frac{1}{3}431​ to an improper fraction.413=133 4 \frac{1}{3} = \frac{13}{3} 431​=313​

STEP 6

Find a common denominator for the fractions 556\frac{55}{6}655​, 258\frac{25}{8}825​, and 133\frac{13}{3}313​.The least common denominator is 242424.

STEP 7

Convert 556\frac{55}{6}655​ to a fraction with a denominator of 242424.556=22024 \frac{55}{6} = \frac{220}{24} 655​=24220​

STEP 8

Convert 258\frac{25}{8}825​ to a fraction with a denominator of 242424.258=7524 \frac{25}{8} = \frac{75}{24} 825​=2475​

STEP 9

Convert 133\frac{13}{3}313​ to a fraction with a denominator of 242424.133=10424 \frac{13}{3} = \frac{104}{24} 313​=24104​

STEP 10

Subtract the amounts eaten from the total.22024−7524−10424=220−75−10424=4124\frac{220}{24} - \frac{75}{24} - \frac{104}{24} = \frac{220 - 75 - 104}{24} = \frac{41}{24}24220​−2475​−24104​=24220−75−104​=2441​

STEP 11

Convert 4124\frac{41}{24}2441​ back to a mixed number.4124=11724 \frac{41}{24} = 1 \frac{17}{24} 2441​=12417​ The amount of Sprinkle Chow left for you to take home is:11724 cups\boxed{1 \frac{17}{24} \text{ cups}}12417​ cups​

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QuestionThe recipe makes close to $9 \frac{1}{6}$ cups of Sprinkle Chow. After the show, the co-host eats $3 \frac{1}{8}$ cups of Sprinkle Chow and the show's producer eats $4 \frac{1}{3}$ cups. How much Sprinkle Chow does that leave for you to take home?

1. The total amount of Sprinkle Chow made is $9 \frac{1}{6}$ cups.
2. The co-host eats $3 \frac{1}{8}$ cups.
3. The producer eats $4 \frac{1}{3}$ cups.
4. We need to find out how much Sprinkle Chow is left.

1. Convert mixed numbers to improper fractions.
2. Subtract the amounts eaten from the total.
3. Convert the result back to a mixed number if necessary.

Convert $9 \frac{1}{6}$ to an improper fraction.
$9 \frac{1}{6} = \frac{55}{6}$

Convert $3 \frac{1}{8}$ to an improper fraction.
$3 \frac{1}{8} = \frac{25}{8}$

Convert $4 \frac{1}{3}$ to an improper fraction.
$4 \frac{1}{3} = \frac{13}{3}$

Find a common denominator for the fractions $\frac{55}{6}$ , $\frac{25}{8}$ , and $\frac{13}{3}$ .
The least common denominator is $24$ .

Convert $\frac{55}{6}$ to a fraction with a denominator of $24$ .
$\frac{55}{6} = \frac{220}{24}$

Convert $\frac{25}{8}$ to a fraction with a denominator of $24$ .
$\frac{25}{8} = \frac{75}{24}$

Convert $\frac{13}{3}$ to a fraction with a denominator of $24$ .
$\frac{13}{3} = \frac{104}{24}$

Subtract the amounts eaten from the total.
$\frac{220}{24} - \frac{75}{24} - \frac{104}{24} = \frac{220 - 75 - 104}{24} = \frac{41}{24}$

Convert $\frac{41}{24}$ back to a mixed number.
$\frac{41}{24} = 1 \frac{17}{24}$
The amount of Sprinkle Chow left for you to take home is:
$\boxed{1 \frac{17}{24} \text{ cups}}$