What is 22/53 Divided By 6/7

Solving $\frac{22}{53}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{53} \div \frac{6}{7} = \frac{22}{53} \times \frac{7}{6}$

• Multiply the Numerators: $22 \times 7 = 154$
• Multiply the Denominators: $53 \times 6 = 318$
• Form the New Fraction: $\frac{22}{53} \times \frac{6}{7} = \frac{154}{318}$

Let's Simplify $\frac{154}{318}$

• Find the Greatest Common Divisor (GCD) of $154$ and $318$. The GCD of $154$ and $318$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{154 \div 2}{318 \div 2} = \frac{77}{159}$

Answer $\frac{22}{53}\div\frac{6}{7} = \frac{77}{159}$

The following animation demonstrates the divide-by,