What is 52/53 Divided By 8/9

Solving $\frac{52}{53}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{53} \div \frac{8}{9} = \frac{52}{53} \times \frac{9}{8}$

• Multiply the Numerators: $52 \times 9 = 468$
• Multiply the Denominators: $53 \times 8 = 424$
• Form the New Fraction: $\frac{52}{53} \times \frac{8}{9} = \frac{468}{424}$

Let's Simplify $\frac{468}{424}$

• Find the Greatest Common Divisor (GCD) of $468$ and $424$. The GCD of $468$ and $424$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{468 \div 4}{424 \div 4} = \frac{117}{106}$

Answer $\frac{52}{53}\div\frac{8}{9} = \frac{117}{106}$

The following animation demonstrates the divide-by,