What is 70/85 Divided By 7/6

Solving $\frac{70}{85}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{7}{6} = \frac{70}{85} \times \frac{6}{7}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{70}{85} \times \frac{7}{6} = \frac{420}{595}$

Let's Simplify $\frac{420}{595}$

• Find the Greatest Common Divisor (GCD) of $420$ and $595$. The GCD of $420$ and $595$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 35}{595 \div 35} = \frac{12}{17}$

Answer $\frac{70}{85}\div\frac{7}{6} = \frac{12}{17}$

The following animation demonstrates the divide-by,