Question

Compute 6/7 divided by 3/5 simplify answer if possible

Answer 1

Not correct

Answer 2

To divide fractions, you can multiply by the reciprocal of the second fraction. Therefore, to compute \( \frac{6}{7} \div \frac{3}{5} \), we can write it as:

\[
\frac{6}{7} \times \frac{5}{3}
\]

Now, we multiply the numerators and the denominators:

\[
\frac{6 \times 5}{7 \times 3} = \frac{30}{21}
\]

Next, we can simplify \( \frac{30}{21} \). Both 30 and 21 can be divided by 3:

\[
\frac{30 \div 3}{21 \div 3} = \frac{10}{7}
\]

Thus, the simplified answer is:

\[
\frac{10}{7}
\]

Answer 3

Let’s go through the calculation again step-by-step to ensure accuracy.

To divide \( \frac{6}{7} \) by \( \frac{3}{5} \):

1. **Write the division as multiplication by the reciprocal**:

\[
\frac{6}{7} \div \frac{3}{5} = \frac{6}{7} \times \frac{5}{3}
\]

2. **Multiply the fractions**:

- Multiply the numerators: \( 6 \times 5 = 30 \)
- Multiply the denominators: \( 7 \times 3 = 21 \)

Thus, we have:

\[
\frac{30}{21}
\]

3. **Simplify the fraction**:

Both 30 and 21 can be divided by 3:

\[
\frac{30 \div 3}{21 \div 3} = \frac{10}{7}
\]

So, the final answer is indeed:

\[
\frac{10}{7}
\]

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