What is 27/42 Divided By 9/8

Solving $\frac{27}{42}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{9}{8} = \frac{27}{42} \times \frac{8}{9}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{27}{42} \times \frac{9}{8} = \frac{216}{378}$

Let's Simplify $\frac{216}{378}$

• Find the Greatest Common Divisor (GCD) of $216$ and $378$. The GCD of $216$ and $378$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 54}{378 \div 54} = \frac{4}{7}$

Answer $\frac{27}{42}\div\frac{9}{8} = \frac{4}{7}$

The following animation demonstrates the divide-by,