What is 70/85 Divided By 7/4

Solving $\frac{70}{85}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{7}{4} = \frac{70}{85} \times \frac{4}{7}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{70}{85} \times \frac{7}{4} = \frac{280}{595}$

Let's Simplify $\frac{280}{595}$

• Find the Greatest Common Divisor (GCD) of $280$ and $595$. The GCD of $280$ and $595$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 35}{595 \div 35} = \frac{8}{17}$

Answer $\frac{70}{85}\div\frac{7}{4} = \frac{8}{17}$

The following animation demonstrates the divide-by,