What is 75/85 Divided By 4/7

Solving $\frac{75}{85}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{4}{7} = \frac{75}{85} \times \frac{7}{4}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{75}{85} \times \frac{4}{7} = \frac{525}{340}$

Let's Simplify $\frac{525}{340}$

• Find the Greatest Common Divisor (GCD) of $525$ and $340$. The GCD of $525$ and $340$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 5}{340 \div 5} = \frac{105}{68}$

Answer $\frac{75}{85}\div\frac{4}{7} = \frac{105}{68}$

The following animation demonstrates the divide-by,