What is 52/39 Divided By 8/9

Solving $\frac{52}{39}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{39} \div \frac{8}{9} = \frac{52}{39} \times \frac{9}{8}$

• Multiply the Numerators: $52 \times 9 = 468$
• Multiply the Denominators: $39 \times 8 = 312$
• Form the New Fraction: $\frac{52}{39} \times \frac{8}{9} = \frac{468}{312}$

Let's Simplify $\frac{468}{312}$

• Find the Greatest Common Divisor (GCD) of $468$ and $312$. The GCD of $468$ and $312$ is $156$.
• Divide both the numerator and the denominator by the GCD:$\frac{468 \div 156}{312 \div 156} = \frac{3}{2}$

Answer $\frac{52}{39}\div\frac{8}{9} = \frac{3}{2}$

The following animation demonstrates the divide-by,