What is 61/85 Divided By 4/6

Solving $\frac{61}{85}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{85} \div \frac{4}{6} = \frac{61}{85} \times \frac{6}{4}$

• Multiply the Numerators: $61 \times 6 = 366$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{61}{85} \times \frac{4}{6} = \frac{366}{340}$

Let's Simplify $\frac{366}{340}$

• Find the Greatest Common Divisor (GCD) of $366$ and $340$. The GCD of $366$ and $340$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{366 \div 2}{340 \div 2} = \frac{183}{170}$

Answer $\frac{61}{85}\div\frac{4}{6} = \frac{183}{170}$

The following animation demonstrates the divide-by,