Question

Divide. Write your answer as a fraction or mixed number in simplest form.
12 divided by 5/2/5

Answer 1

To divide 12 by the fraction \( \frac{5}{2} \div 5 \), we first need to simplify \( \frac{5}{2} \div 5 \).

1. Recall that dividing by a number is the same as multiplying by its reciprocal. So, we write this as:
\[
\frac{5}{2} \div 5 = \frac{5}{2} \times \frac{1}{5}
\]

2. Now, multiply the fractions:
\[
\frac{5 \times 1}{2 \times 5} = \frac{5}{10} = \frac{1}{2}
\]

Now we need to divide 12 by \( \frac{1}{2} \):
\[
12 \div \frac{1}{2} = 12 \times 2 = 24
\]

Thus, the answer to \( 12 \div \left(\frac{5}{2} \div 5\right) \) is \( 24 \).

In fraction form, \( 24 \) can be expressed as:
\[
\frac{24}{1}
\]

So, the final answer is:
\[
\boxed{24}
\]