Question

Tina drew this fraction model to help her divide 3/4 and 1/8.


.

From left to right, a square with 4 equal parts and 3 parts shaded, division symbol, a square with 8 equal parts and 1 part shaded.
What is 3/4 divided by 1/8?

Answer 1

To divide the fraction \( \frac{3}{4} \) by \( \frac{1}{8} \), we can use the rule for dividing fractions, which is to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of \( \frac{1}{8} \) is \( \frac{8}{1} \).

So, we have:

\[
\frac{3}{4} \div \frac{1}{8} = \frac{3}{4} \times \frac{8}{1}
\]

Now, we can multiply the fractions:

\[
\frac{3 \times 8}{4 \times 1} = \frac{24}{4}
\]

Next, we simplify \( \frac{24}{4} \):

\[
\frac{24}{4} = 6
\]

Therefore, \( \frac{3}{4} \div \frac{1}{8} = 6 \).

So the final answer is:

\[
6
\]