Questions: Multiply. Write your answer as a fraction in simplest form. 10/3 × 7/8

Multiply. Write your answer as a fraction in simplest form.
10/3 × 7/8
Transcript text: Multiply. Write your answer as a fraction in simplest form. \[ \frac{10}{3} \times \frac{7}{8} \]
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Solution

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Solution Steps

Step 1: Multiply the numerators

Multiply the numerators of the fractions: \[ 10 \times 7 = 70 \]

Step 2: Multiply the denominators

Multiply the denominators of the fractions: \[ 3 \times 8 = 24 \]

Step 3: Simplify the fraction

Write the product as a fraction and simplify: \[ \frac{70}{24} = \frac{35}{12} \] (Divide numerator and denominator by 2 to simplify.)

Final Answer

\(\boxed{\frac{35}{12}}\)

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