Question

7 1/2 / 3/4 fraction form

Answer 1

To divide the mixed number \(7 \frac{1}{2}\) by the fraction \(\frac{3}{4}\), follow these steps:

1. **Convert the mixed number to an improper fraction**:
\[
7 \frac{1}{2} = 7 \times 2 + 1 = 14 + 1 = 15
\]
So, \(7 \frac{1}{2} = \frac{15}{2}\).

2. **Find the reciprocal of the fraction you're dividing by**:
The reciprocal of \(\frac{3}{4}\) is \(\frac{4}{3}\).

3. **Multiply the improper fraction by the reciprocal**:
\[
\frac{15}{2} \div \frac{3}{4} = \frac{15}{2} \times \frac{4}{3}
\]

4. **Multiply the fractions**:
\[
= \frac{15 \cdot 4}{2 \cdot 3} = \frac{60}{6}
\]

5. **Simplify the fraction**:
\[
\frac{60}{6} = 10
\]

So, \(7 \frac{1}{2} \div \frac{3}{4} = 10\) in simplified form.