Question

Write the fraction
32/48
in simplest form.

Answer 1

To simplify the fraction \( \frac{32}{48} \), we need to find the greatest common divisor (GCD) of the numerator and the denominator.

1. The factors of 32: \( 1, 2, 4, 8, 16, 32 \)
2. The factors of 48: \( 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 \)
3. The common factors: \( 1, 2, 4, 8, 16 \)

The greatest common divisor (GCD) is 16.

Now, we divide both the numerator and the denominator by their GCD:

\[
\frac{32 \div 16}{48 \div 16} = \frac{2}{3}
\]

Thus, the fraction \( \frac{32}{48} \) in simplest form is \( \frac{2}{3} \).