What is 85/52 Divided By 3/4

Solving $\frac{85}{52}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{52} \div \frac{3}{4} = \frac{85}{52} \times \frac{4}{3}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{85}{52} \times \frac{3}{4} = \frac{340}{156}$

Let's Simplify $\frac{340}{156}$

• Find the Greatest Common Divisor (GCD) of $340$ and $156$. The GCD of $340$ and $156$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 4}{156 \div 4} = \frac{85}{39}$

Answer $\frac{85}{52}\div\frac{3}{4} = \frac{85}{39}$

The following animation demonstrates the divide-by,