What is 60/85 Divided By 6/9

Solving $\frac{60}{85}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{6}{9} = \frac{60}{85} \times \frac{9}{6}$

• Multiply the Numerators: $60 \times 9 = 540$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{60}{85} \times \frac{6}{9} = \frac{540}{510}$

Let's Simplify $\frac{540}{510}$

• Find the Greatest Common Divisor (GCD) of $540$ and $510$. The GCD of $540$ and $510$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{540 \div 30}{510 \div 30} = \frac{18}{17}$

Answer $\frac{60}{85}\div\frac{6}{9} = \frac{18}{17}$

The following animation demonstrates the divide-by,