What is 54/70 Divided By 7/5

Solving $\frac{54}{70}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{70} \div \frac{7}{5} = \frac{54}{70} \times \frac{5}{7}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{54}{70} \times \frac{7}{5} = \frac{270}{490}$

Let's Simplify $\frac{270}{490}$

• Find the Greatest Common Divisor (GCD) of $270$ and $490$. The GCD of $270$ and $490$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 10}{490 \div 10} = \frac{27}{49}$

Answer $\frac{54}{70}\div\frac{7}{5} = \frac{27}{49}$

The following animation demonstrates the divide-by,