What is 39/52 Divided By 8/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $39 \times 9 = 351$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{39}{52} \times \frac{8}{9} = \frac{351}{416}$

Let's Simplify $\frac{351}{416}$

• Find the Greatest Common Divisor (GCD) of $351$ and $416$. The GCD of $351$ and $416$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{351 \div 13}{416 \div 13} = \frac{27}{32}$

Answer $\frac{39}{52}\div\frac{8}{9} = \frac{27}{32}$

The following animation demonstrates the divide-by,