What is 54/75 Divided By 8/7

Solving $\frac{54}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{8}{7} = \frac{54}{75} \times \frac{7}{8}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{54}{75} \times \frac{8}{7} = \frac{378}{600}$

Let's Simplify $\frac{378}{600}$

• Find the Greatest Common Divisor (GCD) of $378$ and $600$. The GCD of $378$ and $600$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 6}{600 \div 6} = \frac{63}{100}$

Answer $\frac{54}{75}\div\frac{8}{7} = \frac{63}{100}$

The following animation demonstrates the divide-by,