What is 27/85 Divided By 6/7

Solving $\frac{27}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{85} \div \frac{6}{7} = \frac{27}{85} \times \frac{7}{6}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{27}{85} \times \frac{6}{7} = \frac{189}{510}$

Let's Simplify $\frac{189}{510}$

• Find the Greatest Common Divisor (GCD) of $189$ and $510$. The GCD of $189$ and $510$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 3}{510 \div 3} = \frac{63}{170}$

Answer $\frac{27}{85}\div\frac{6}{7} = \frac{63}{170}$

The following animation demonstrates the divide-by,