What is 54/70 Divided By 2/5

Solving $\frac{54}{70}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{70} \div \frac{2}{5} = \frac{54}{70} \times \frac{5}{2}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $70 \times 2 = 140$
• Form the New Fraction: $\frac{54}{70} \times \frac{2}{5} = \frac{270}{140}$

Let's Simplify $\frac{270}{140}$

• Find the Greatest Common Divisor (GCD) of $270$ and $140$. The GCD of $270$ and $140$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 10}{140 \div 10} = \frac{27}{14}$

Answer $\frac{54}{70}\div\frac{2}{5} = \frac{27}{14}$

The following animation demonstrates the divide-by,