What is 52/91 Divided By 9/8

Solving $\frac{52}{91}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{91} \div \frac{9}{8} = \frac{52}{91} \times \frac{8}{9}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $91 \times 9 = 819$
• Form the New Fraction: $\frac{52}{91} \times \frac{9}{8} = \frac{416}{819}$

Let's Simplify $\frac{416}{819}$

• Find the Greatest Common Divisor (GCD) of $416$ and $819$. The GCD of $416$ and $819$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{416 \div 13}{819 \div 13} = \frac{32}{63}$

Answer $\frac{52}{91}\div\frac{9}{8} = \frac{32}{63}$

The following animation demonstrates the divide-by,