What is 27/22 Divided By 6/5

Solving $\frac{27}{22}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{22} \div \frac{6}{5} = \frac{27}{22} \times \frac{5}{6}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $22 \times 6 = 132$
• Form the New Fraction: $\frac{27}{22} \times \frac{6}{5} = \frac{135}{132}$

Let's Simplify $\frac{135}{132}$

• Find the Greatest Common Divisor (GCD) of $135$ and $132$. The GCD of $135$ and $132$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 3}{132 \div 3} = \frac{45}{44}$

Answer $\frac{27}{22}\div\frac{6}{5} = \frac{45}{44}$

The following animation demonstrates the divide-by,