Question

1 1/2
÷
1 7/8

Answer 1

To divide the mixed numbers \(1 \frac{1}{2}\) by \(1 \frac{7}{8}\), we first convert them to improper fractions.

1. Convert \(1 \frac{1}{2}\) to an improper fraction:
\[
1 \frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}
\]

2. Convert \(1 \frac{7}{8}\) to an improper fraction:
\[
1 \frac{7}{8} = \frac{8 \times 1 + 7}{8} = \frac{8 + 7}{8} = \frac{15}{8}
\]

Now we can set up the division:
\[
\frac{3}{2} \div \frac{15}{8}
\]
To divide by a fraction, we multiply by its reciprocal:
\[
\frac{3}{2} \times \frac{8}{15}
\]

Now multiply the numerators and denominators:
\[
\frac{3 \times 8}{2 \times 15} = \frac{24}{30}
\]

We can simplify \(\frac{24}{30}\) by finding the greatest common divisor (GCD), which is 6:
\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\]

Thus, the final answer is:
\[
\boxed{\frac{4}{5}}
\]