What is 85/70 Divided By 7/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{85}{70} \times \frac{7}{4} = \frac{340}{490}$

Let's Simplify $\frac{340}{490}$

• Find the Greatest Common Divisor (GCD) of $340$ and $490$. The GCD of $340$ and $490$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 10}{490 \div 10} = \frac{34}{49}$

Answer $\frac{85}{70}\div\frac{7}{4} = \frac{34}{49}$

The following animation demonstrates the divide-by,