What is 62/81 Divided By 2/5

Solving $\frac{62}{81}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{62}{81} \div \frac{2}{5} = \frac{62}{81} \times \frac{5}{2}$

• Multiply the Numerators: $62 \times 5 = 310$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{62}{81} \times \frac{2}{5} = \frac{310}{162}$

Let's Simplify $\frac{310}{162}$

• Find the Greatest Common Divisor (GCD) of $310$ and $162$. The GCD of $310$ and $162$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{310 \div 2}{162 \div 2} = \frac{155}{81}$

Answer $\frac{62}{81}\div\frac{2}{5} = \frac{155}{81}$

The following animation demonstrates the divide-by,