Solved on Nov 22, 2023

Simplify the product of $\frac{12}{7}$ and $\frac{9}{8}$ and express it in lowest terms.

STEP 1

Assumptions1. We are multiplying two fractions, $\frac{12}{7}$ and $\frac{9}{8}$ . . We need to simplify the result to its lowest terms.

STEP 2

To multiply two fractions, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

STEP 3

Substitute the given fractions into the formula.
$\frac{12}{7} \cdot \frac{9}{8} = \frac{12 \cdot9}{7 \cdot8}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{12 \cdot9}{7 \cdot8} = \frac{108}{56}$

STEP 5

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of108 and56 is4.

STEP 6

Divide the numerator and the denominator by their GCD to reduce the fraction to its lowest terms.
$\frac{108}{56} = \frac{108/4}{56/4}$

STEP 7

Perform the division in the numerator and the denominator.
$\frac{108/4}{56/4} = \frac{27}{14}$ So, the product of $\frac{12}{7}$ and $\frac{9}{}$ in lowest terms is $\frac{27}{14}$ .

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Simplify the product of $\frac{12}{7}$ and $\frac{9}{8}$ and express it in lowest terms.

STEP 1

Assumptions1. We are multiplying two fractions, $\frac{12}{7}$ and $\frac{9}{8}$ . . We need to simplify the result to its lowest terms.

STEP 2

To multiply two fractions, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

STEP 3

Substitute the given fractions into the formula.
$\frac{12}{7} \cdot \frac{9}{8} = \frac{12 \cdot9}{7 \cdot8}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{12 \cdot9}{7 \cdot8} = \frac{108}{56}$

STEP 5

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of108 and56 is4.

STEP 6

Divide the numerator and the denominator by their GCD to reduce the fraction to its lowest terms.
$\frac{108}{56} = \frac{108/4}{56/4}$

STEP 7

Perform the division in the numerator and the denominator.
$\frac{108/4}{56/4} = \frac{27}{14}$ So, the product of $\frac{12}{7}$ and $\frac{9}{}$ in lowest terms is $\frac{27}{14}$ .

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Simplify the product of 127\frac{12}{7}712​ and 98\frac{9}{8}89​ and express it in lowest terms.

STEP 1

Assumptions1. We are multiplying two fractions, 127\frac{12}{7}712​ and 98\frac{9}{8}89​. . We need to simplify the result to its lowest terms.

STEP 2

To multiply two fractions, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.ab⋅cd=a⋅cb⋅d\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}ba​⋅dc​=b⋅da⋅c​

STEP 3

Substitute the given fractions into the formula.127⋅98=12⋅97⋅8\frac{12}{7} \cdot \frac{9}{8} = \frac{12 \cdot9}{7 \cdot8}712​⋅89​=7⋅812⋅9​

STEP 4

Perform the multiplication in the numerator and the denominator.12⋅97⋅8=10856\frac{12 \cdot9}{7 \cdot8} = \frac{108}{56}7⋅812⋅9​=56108​

STEP 5

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of108 and56 is4.

STEP 6

Divide the numerator and the denominator by their GCD to reduce the fraction to its lowest terms.10856=108/456/4\frac{108}{56} = \frac{108/4}{56/4}56108​=56/4108/4​

STEP 7

Perform the division in the numerator and the denominator.108/456/4=2714\frac{108/4}{56/4} = \frac{27}{14}56/4108/4​=1427​So, the product of 127\frac{12}{7}712​ and 9\frac{9}{}9​ in lowest terms is 2714\frac{27}{14}1427​.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Simplify the product of $\frac{12}{7}$ and $\frac{9}{8}$ and express it in lowest terms.

Assumptions1. We are multiplying two fractions, $\frac{12}{7}$ and $\frac{9}{8}$ . . We need to simplify the result to its lowest terms.

To multiply two fractions, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

Substitute the given fractions into the formula.
$\frac{12}{7} \cdot \frac{9}{8} = \frac{12 \cdot9}{7 \cdot8}$

Perform the multiplication in the numerator and the denominator.
$\frac{12 \cdot9}{7 \cdot8} = \frac{108}{56}$

Divide the numerator and the denominator by their GCD to reduce the fraction to its lowest terms.
$\frac{108}{56} = \frac{108/4}{56/4}$

Perform the division in the numerator and the denominator.
$\frac{108/4}{56/4} = \frac{27}{14}$ So, the product of $\frac{12}{7}$ and $\frac{9}{}$ in lowest terms is $\frac{27}{14}$ .