What is 45/85 Divided By 7/6

Solving $\frac{45}{85}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{85} \div \frac{7}{6} = \frac{45}{85} \times \frac{6}{7}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{45}{85} \times \frac{7}{6} = \frac{270}{595}$

Let's Simplify $\frac{270}{595}$

• Find the Greatest Common Divisor (GCD) of $270$ and $595$. The GCD of $270$ and $595$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 5}{595 \div 5} = \frac{54}{119}$

Answer $\frac{45}{85}\div\frac{7}{6} = \frac{54}{119}$

The following animation demonstrates the divide-by,