What is 27/42 Divided By 9/4

Solving $\frac{27}{42}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{9}{4} = \frac{27}{42} \times \frac{4}{9}$

• Multiply the Numerators: $27 \times 4 = 108$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{27}{42} \times \frac{9}{4} = \frac{108}{378}$

Let's Simplify $\frac{108}{378}$

• Find the Greatest Common Divisor (GCD) of $108$ and $378$. The GCD of $108$ and $378$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 54}{378 \div 54} = \frac{2}{7}$

Answer $\frac{27}{42}\div\frac{9}{4} = \frac{2}{7}$

The following animation demonstrates the divide-by,