What is 61/52 Divided By 9/8

Solving $\frac{61}{52}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{52} \div \frac{9}{8} = \frac{61}{52} \times \frac{8}{9}$

• Multiply the Numerators: $61 \times 8 = 488$
• Multiply the Denominators: $52 \times 9 = 468$
• Form the New Fraction: $\frac{61}{52} \times \frac{9}{8} = \frac{488}{468}$

Let's Simplify $\frac{488}{468}$

• Find the Greatest Common Divisor (GCD) of $488$ and $468$. The GCD of $488$ and $468$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{488 \div 4}{468 \div 4} = \frac{122}{117}$

Answer $\frac{61}{52}\div\frac{9}{8} = \frac{122}{117}$

The following animation demonstrates the divide-by,