What is 12/52 Divided By 8/9

Solving $\frac{12}{52}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{52} \div \frac{8}{9} = \frac{12}{52} \times \frac{9}{8}$

• Multiply the Numerators: $12 \times 9 = 108$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{12}{52} \times \frac{8}{9} = \frac{108}{416}$

Let's Simplify $\frac{108}{416}$

• Find the Greatest Common Divisor (GCD) of $108$ and $416$. The GCD of $108$ and $416$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 4}{416 \div 4} = \frac{27}{104}$

Answer $\frac{12}{52}\div\frac{8}{9} = \frac{27}{104}$

The following animation demonstrates the divide-by,