Multiply. Write your answer as a mixed number in simplest form.

Ask by Fleming Wells. in the United States

Mar 23,2025

Question

Multiply. Write your answer as a mixed number in simplest form. $$ 4 \frac{2}{3} 	imes \frac{5}{7} $$ $$ \square $$

UpStudy AI · Accepted Answer

1. Convert the mixed number to an improper fraction:
   $$
   4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}
   $$

2. Multiply the fractions:
   $$
   \frac{14}{3} \times \frac{5}{7} = \frac{14 \times 5}{3 \times 7} = \frac{70}{21}
   $$

3. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (7):
   $$
   \frac{70}{21} = \frac{70 \div 7}{21 \div 7} = \frac{10}{3}
   $$

4. Convert the improper fraction to a mixed number:
   $$
   \frac{10}{3} = 3 \frac{1}{3}
   $$

The final answer is: $$3 \frac{1}{3}$$.
The answer is $$3 \frac{1}{3}$$.

Multiply. Write your answer as a mixed number in simplest form.

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