What is 85/74 Divided By 7/4

Solving $\frac{85}{74}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{74} \div \frac{7}{4} = \frac{85}{74} \times \frac{4}{7}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{85}{74} \times \frac{7}{4} = \frac{340}{518}$

Let's Simplify $\frac{340}{518}$

• Find the Greatest Common Divisor (GCD) of $340$ and $518$. The GCD of $340$ and $518$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 2}{518 \div 2} = \frac{170}{259}$

Answer $\frac{85}{74}\div\frac{7}{4} = \frac{170}{259}$

The following animation demonstrates the divide-by,