What is 28/81 Divided By 2/5

Solving $\frac{28}{81}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{81} \div \frac{2}{5} = \frac{28}{81} \times \frac{5}{2}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{28}{81} \times \frac{2}{5} = \frac{140}{162}$

Let's Simplify $\frac{140}{162}$

• Find the Greatest Common Divisor (GCD) of $140$ and $162$. The GCD of $140$ and $162$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 2}{162 \div 2} = \frac{70}{81}$

Answer $\frac{28}{81}\div\frac{2}{5} = \frac{70}{81}$

The following animation demonstrates the divide-by,