What is 85/27 Divided By 7/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,