What is 39/52 Divided By 4/9

Solving $\frac{39}{52}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{4}{9} = \frac{39}{52} \times \frac{9}{4}$

• Multiply the Numerators: $39 \times 9 = 351$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{39}{52} \times \frac{4}{9} = \frac{351}{208}$

Let's Simplify $\frac{351}{208}$

• Find the Greatest Common Divisor (GCD) of $351$ and $208$. The GCD of $351$ and $208$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{351 \div 13}{208 \div 13} = \frac{27}{16}$

Answer $\frac{39}{52}\div\frac{4}{9} = \frac{27}{16}$

The following animation demonstrates the divide-by,