What is 53/62 Divided By 5/6

Solving $\frac{53}{62}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{62} \div \frac{5}{6} = \frac{53}{62} \times \frac{6}{5}$

• Multiply the Numerators: $53 \times 6 = 318$
• Multiply the Denominators: $62 \times 5 = 310$
• Form the New Fraction: $\frac{53}{62} \times \frac{5}{6} = \frac{318}{310}$

Let's Simplify $\frac{318}{310}$

• Find the Greatest Common Divisor (GCD) of $318$ and $310$. The GCD of $318$ and $310$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{318 \div 2}{310 \div 2} = \frac{159}{155}$

Answer $\frac{53}{62}\div\frac{5}{6} = \frac{159}{155}$

The following animation demonstrates the divide-by,