What is 27/22 Divided By 6/4

Solving $\frac{27}{22}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{22} \div \frac{6}{4} = \frac{27}{22} \times \frac{4}{6}$

• Multiply the Numerators: $27 \times 4 = 108$
• Multiply the Denominators: $22 \times 6 = 132$
• Form the New Fraction: $\frac{27}{22} \times \frac{6}{4} = \frac{108}{132}$

Let's Simplify $\frac{108}{132}$

• Find the Greatest Common Divisor (GCD) of $108$ and $132$. The GCD of $108$ and $132$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 12}{132 \div 12} = \frac{9}{11}$

Answer $\frac{27}{22}\div\frac{6}{4} = \frac{9}{11}$

The following animation demonstrates the divide-by,