What is 54/57 Divided By 5/8

Solving $\frac{54}{57}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{57} \div \frac{5}{8} = \frac{54}{57} \times \frac{8}{5}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $57 \times 5 = 285$
• Form the New Fraction: $\frac{54}{57} \times \frac{5}{8} = \frac{432}{285}$

Let's Simplify $\frac{432}{285}$

• Find the Greatest Common Divisor (GCD) of $432$ and $285$. The GCD of $432$ and $285$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 3}{285 \div 3} = \frac{144}{95}$

Answer $\frac{54}{57}\div\frac{5}{8} = \frac{144}{95}$

The following animation demonstrates the divide-by,