# How do you write the fraction 48/56 in simplest form?

Dec 5, 2016

$\frac{48}{56} = \frac{6}{7}$

#### Explanation:

To write the fraction $\frac{48}{56}$ in simplest form, we need to divide the numerator and denominator, by their GCD (Greatest Common Divisor).

As prime factors of $48$ are $48 = 2 \times 2 \times 2 \times 2 \times 3$

and $56 = 2 \times 2 \times 2 \times 7$

Common factors are $2 \times 2 \times 2$ and GCD is $2 \times 2 \times 2 = 8$

$\frac{48}{56}$

= $\frac{8 \times 6}{8 \times 7}$

= $\frac{\cancel{8} \times 6}{\cancel{8} \times 7}$

= $\frac{6}{7}$