What is 39/52 Divided By 2/9

Solving $\frac{39}{52}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{2}{9} = \frac{39}{52} \times \frac{9}{2}$

• Multiply the Numerators: $39 \times 9 = 351$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{39}{52} \times \frac{2}{9} = \frac{351}{104}$

Let's Simplify $\frac{351}{104}$

• Find the Greatest Common Divisor (GCD) of $351$ and $104$. The GCD of $351$ and $104$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{351 \div 13}{104 \div 13} = \frac{27}{8}$

Answer $\frac{39}{52}\div\frac{2}{9} = \frac{27}{8}$

The following animation demonstrates the divide-by,