What is 70/85 Divided By 6/9

Solving $\frac{70}{85}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{6}{9} = \frac{70}{85} \times \frac{9}{6}$

• Multiply the Numerators: $70 \times 9 = 630$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{70}{85} \times \frac{6}{9} = \frac{630}{510}$

Let's Simplify $\frac{630}{510}$

• Find the Greatest Common Divisor (GCD) of $630$ and $510$. The GCD of $630$ and $510$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{630 \div 30}{510 \div 30} = \frac{21}{17}$

Answer $\frac{70}{85}\div\frac{6}{9} = \frac{21}{17}$

The following animation demonstrates the divide-by,