What is Three-fourths divided by one-half?

Question

A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half.
Two-thirds
1 and one-fourth
1 and one-half
3

Answer 1

To find \( \frac{3}{4} \div \frac{1}{2} \), we multiply by the reciprocal of the second fraction:

\[ \frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} \]

Now, multiply the fractions:

\[ \frac{3 \times 2}{4 \times 1} = \frac{6}{4} \]

Now simplify \( \frac{6}{4} \):

\[ \frac{6}{4} = \frac{3}{2} \]

This can also be expressed as \( 1 \frac{1}{2} \) or \( 1.5 \).

Therefore, the answer is \( 1 \) and \( \frac{1}{2} \).