What is 85/70 Divided By 4/6

Solving $\frac{85}{70}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{70} \div \frac{4}{6} = \frac{85}{70} \times \frac{6}{4}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{85}{70} \times \frac{4}{6} = \frac{510}{280}$

Let's Simplify $\frac{510}{280}$

• Find the Greatest Common Divisor (GCD) of $510$ and $280$. The GCD of $510$ and $280$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 10}{280 \div 10} = \frac{51}{28}$

Answer $\frac{85}{70}\div\frac{4}{6} = \frac{51}{28}$

The following animation demonstrates the divide-by,