What is 54/76 Divided By 3/2

Solving $\frac{54}{76}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{76} \div \frac{3}{2} = \frac{54}{76} \times \frac{2}{3}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $76 \times 3 = 228$
• Form the New Fraction: $\frac{54}{76} \times \frac{3}{2} = \frac{108}{228}$

Let's Simplify $\frac{108}{228}$

• Find the Greatest Common Divisor (GCD) of $108$ and $228$. The GCD of $108$ and $228$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 12}{228 \div 12} = \frac{9}{19}$

Answer $\frac{54}{76}\div\frac{3}{2} = \frac{9}{19}$

The following animation demonstrates the divide-by,