What is 85/75 Divided By 3/4

Solving $\frac{85}{75}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{3}{4} = \frac{85}{75} \times \frac{4}{3}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $75 \times 3 = 225$
• Form the New Fraction: $\frac{85}{75} \times \frac{3}{4} = \frac{340}{225}$

Let's Simplify $\frac{340}{225}$

• Find the Greatest Common Divisor (GCD) of $340$ and $225$. The GCD of $340$ and $225$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 5}{225 \div 5} = \frac{68}{45}$

Answer $\frac{85}{75}\div\frac{3}{4} = \frac{68}{45}$

The following animation demonstrates the divide-by,