What is 70/85 Divided By 5/6

Solving $\frac{70}{85}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{5}{6} = \frac{70}{85} \times \frac{6}{5}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $85 \times 5 = 425$
• Form the New Fraction: $\frac{70}{85} \times \frac{5}{6} = \frac{420}{425}$

Let's Simplify $\frac{420}{425}$

• Find the Greatest Common Divisor (GCD) of $420$ and $425$. The GCD of $420$ and $425$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 5}{425 \div 5} = \frac{84}{85}$

Answer $\frac{70}{85}\div\frac{5}{6} = \frac{84}{85}$

The following animation demonstrates the divide-by,