What is 70/85 Divided By 3/4

Solving $\frac{70}{85}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{3}{4} = \frac{70}{85} \times \frac{4}{3}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{70}{85} \times \frac{3}{4} = \frac{280}{255}$

Let's Simplify $\frac{280}{255}$

• Find the Greatest Common Divisor (GCD) of $280$ and $255$. The GCD of $280$ and $255$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 5}{255 \div 5} = \frac{56}{51}$

Answer $\frac{70}{85}\div\frac{3}{4} = \frac{56}{51}$

The following animation demonstrates the divide-by,