What is 54/42 Divided By 9/8

Solving $\frac{54}{42}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{42} \div \frac{9}{8} = \frac{54}{42} \times \frac{8}{9}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{54}{42} \times \frac{9}{8} = \frac{432}{378}$

Let's Simplify $\frac{432}{378}$

• Find the Greatest Common Divisor (GCD) of $432$ and $378$. The GCD of $432$ and $378$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 54}{378 \div 54} = \frac{8}{7}$

Answer $\frac{54}{42}\div\frac{9}{8} = \frac{8}{7}$

The following animation demonstrates the divide-by,