What is 54/75 Divided By 5/7

Solving $\frac{54}{75}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{5}{7} = \frac{54}{75} \times \frac{7}{5}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{54}{75} \times \frac{5}{7} = \frac{378}{375}$

Let's Simplify $\frac{378}{375}$

• Find the Greatest Common Divisor (GCD) of $378$ and $375$. The GCD of $378$ and $375$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 3}{375 \div 3} = \frac{126}{125}$

Answer $\frac{54}{75}\div\frac{5}{7} = \frac{126}{125}$

The following animation demonstrates the divide-by,