What is 54/57 Divided By 9/8

Solving $\frac{54}{57}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{57} \div \frac{9}{8} = \frac{54}{57} \times \frac{8}{9}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $57 \times 9 = 513$
• Form the New Fraction: $\frac{54}{57} \times \frac{9}{8} = \frac{432}{513}$

Let's Simplify $\frac{432}{513}$

• Find the Greatest Common Divisor (GCD) of $432$ and $513$. The GCD of $432$ and $513$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 27}{513 \div 27} = \frac{16}{19}$

Answer $\frac{54}{57}\div\frac{9}{8} = \frac{16}{19}$

The following animation demonstrates the divide-by,