Question 3
Multiply. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if
necessary.

Ask by Nichols Byrd. in the United States

Jan 19,2025

Question

Question 3 Multiply. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if necessary. $$ \frac{7}{20} \cdot \frac{8}{7} $$

UpStudy AI · Accepted Answer

To multiply the fractions $$ \frac{7}{20} $$ and $$ \frac{8}{7} $$ and simplify the result, follow these steps:

1. **Multiply the numerators and denominators:**
   
   $$
   \frac{7}{20} \times \frac{8}{7} = \frac{7 \times 8}{20 \times 7} = \frac{56}{140}
   $$

2. **Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.**

- **Factors of 56:** 1, 2, 4, 7, 8, 14, 28, 56
   - **Factors of 140:** 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
   - **Common factors:** 1, 2, 4, 7, 14, 28
   - **Greatest Common Divisor (GCD):** 28

3. **Divide both the numerator and the denominator by the GCD to simplify:**
   
   $$
   \frac{56 \div 28}{140 \div 28} = \frac{2}{5}
   $$

So, the simplified product of the two fractions is:

$$
\boxed{\dfrac{2}{5}}
$$
The simplified product is $$ \frac{2}{5} $$.

Question 3
Multiply. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if
necessary.

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