QuestionCalculate the product of $\frac{8}{7}$ and $\frac{7}{10}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions $\frac{8}{7}$ and $\frac{7}{10}$

STEP 2

To multiply fractions, we multiply the numerators (the top numbers) to get the new numerator, and the denominators (the bottom numbers) to get the new denominator.
$\frac{8}{7} \cdot \frac{7}{10} = \frac{8 \cdot7}{7 \cdot10}$

STEP 3

Now, we perform the multiplication in the numerator and the denominator.
$\frac{8 \cdot7}{7 \cdot10} = \frac{56}{70}$

STEP 4

The fraction $\frac{56}{70}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is14.
$\frac{56}{70} = \frac{56 \div14}{70 \div14}$

STEP 5

Now, we perform the division in the numerator and the denominator.
$\frac{56 \div14}{70 \div14} = \frac{4}{5}$ The solution to the problem $\frac{8}{7} \cdot \frac{7}{10}$ is $\frac{4}{5}$ .

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QuestionCalculate the product of $\frac{8}{7}$ and $\frac{7}{10}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions $\frac{8}{7}$ and $\frac{7}{10}$

STEP 2

To multiply fractions, we multiply the numerators (the top numbers) to get the new numerator, and the denominators (the bottom numbers) to get the new denominator.
$\frac{8}{7} \cdot \frac{7}{10} = \frac{8 \cdot7}{7 \cdot10}$

STEP 3

Now, we perform the multiplication in the numerator and the denominator.
$\frac{8 \cdot7}{7 \cdot10} = \frac{56}{70}$

STEP 4

The fraction $\frac{56}{70}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is14.
$\frac{56}{70} = \frac{56 \div14}{70 \div14}$

STEP 5

Now, we perform the division in the numerator and the denominator.
$\frac{56 \div14}{70 \div14} = \frac{4}{5}$ The solution to the problem $\frac{8}{7} \cdot \frac{7}{10}$ is $\frac{4}{5}$ .

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QuestionCalculate the product of 87\frac{8}{7}78​ and 710\frac{7}{10}107​.

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions 87\frac{8}{7}78​ and 710\frac{7}{10}107​

STEP 2

To multiply fractions, we multiply the numerators (the top numbers) to get the new numerator, and the denominators (the bottom numbers) to get the new denominator.87⋅710=8⋅77⋅10\frac{8}{7} \cdot \frac{7}{10} = \frac{8 \cdot7}{7 \cdot10}78​⋅107​=7⋅108⋅7​

STEP 3

Now, we perform the multiplication in the numerator and the denominator.8⋅77⋅10=5670\frac{8 \cdot7}{7 \cdot10} = \frac{56}{70}7⋅108⋅7​=7056​

STEP 4

The fraction 5670\frac{56}{70}7056​ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is14.5670=56÷1470÷14\frac{56}{70} = \frac{56 \div14}{70 \div14}7056​=70÷1456÷14​

STEP 5

Now, we perform the division in the numerator and the denominator.56÷1470÷14=45\frac{56 \div14}{70 \div14} = \frac{4}{5}70÷1456÷14​=54​The solution to the problem 87⋅710\frac{8}{7} \cdot \frac{7}{10}78​⋅107​ is 45\frac{4}{5}54​.

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QuestionCalculate the product of $\frac{8}{7}$ and $\frac{7}{10}$ .

Assumptions1. We are multiplying two fractions $\frac{8}{7}$ and $\frac{7}{10}$

To multiply fractions, we multiply the numerators (the top numbers) to get the new numerator, and the denominators (the bottom numbers) to get the new denominator.
$\frac{8}{7} \cdot \frac{7}{10} = \frac{8 \cdot7}{7 \cdot10}$

Now, we perform the multiplication in the numerator and the denominator.
$\frac{8 \cdot7}{7 \cdot10} = \frac{56}{70}$

The fraction $\frac{56}{70}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is14.
$\frac{56}{70} = \frac{56 \div14}{70 \div14}$

Now, we perform the division in the numerator and the denominator.
$\frac{56 \div14}{70 \div14} = \frac{4}{5}$ The solution to the problem $\frac{8}{7} \cdot \frac{7}{10}$ is $\frac{4}{5}$ .