What is 22/76 Divided By 5/6

Solving $\frac{22}{76}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{76} \div \frac{5}{6} = \frac{22}{76} \times \frac{6}{5}$

• Multiply the Numerators: $22 \times 6 = 132$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{22}{76} \times \frac{5}{6} = \frac{132}{380}$

Let's Simplify $\frac{132}{380}$

• Find the Greatest Common Divisor (GCD) of $132$ and $380$. The GCD of $132$ and $380$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 4}{380 \div 4} = \frac{33}{95}$

Answer $\frac{22}{76}\div\frac{5}{6} = \frac{33}{95}$

The following animation demonstrates the divide-by,