What is 63/85 Divided By 7/6

Solving $\frac{63}{85}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{63}{85} \div \frac{7}{6} = \frac{63}{85} \times \frac{6}{7}$

• Multiply the Numerators: $63 \times 6 = 378$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{63}{85} \times \frac{7}{6} = \frac{378}{595}$

Let's Simplify $\frac{378}{595}$

• Find the Greatest Common Divisor (GCD) of $378$ and $595$. The GCD of $378$ and $595$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 7}{595 \div 7} = \frac{54}{85}$

Answer $\frac{63}{85}\div\frac{7}{6} = \frac{54}{85}$

The following animation demonstrates the divide-by,