What is 52/39 Divided By 3/4

Solving $\frac{52}{39}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{39} \div \frac{3}{4} = \frac{52}{39} \times \frac{4}{3}$

• Multiply the Numerators: $52 \times 4 = 208$
• Multiply the Denominators: $39 \times 3 = 117$
• Form the New Fraction: $\frac{52}{39} \times \frac{3}{4} = \frac{208}{117}$

Let's Simplify $\frac{208}{117}$

• Find the Greatest Common Divisor (GCD) of $208$ and $117$. The GCD of $208$ and $117$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 13}{117 \div 13} = \frac{16}{9}$

Answer $\frac{52}{39}\div\frac{3}{4} = \frac{16}{9}$

The following animation demonstrates the divide-by,