What is 48/57 Divided By 8/9

Solving $\frac{48}{57}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{57} \div \frac{8}{9} = \frac{48}{57} \times \frac{9}{8}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $57 \times 8 = 456$
• Form the New Fraction: $\frac{48}{57} \times \frac{8}{9} = \frac{432}{456}$

Let's Simplify $\frac{432}{456}$

• Find the Greatest Common Divisor (GCD) of $432$ and $456$. The GCD of $432$ and $456$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 24}{456 \div 24} = \frac{18}{19}$

Answer $\frac{48}{57}\div\frac{8}{9} = \frac{18}{19}$

The following animation demonstrates the divide-by,