What is 72/91 Divided By 3/2

Solving $\frac{72}{91}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{91} \div \frac{3}{2} = \frac{72}{91} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $91 \times 3 = 273$
• Form the New Fraction: $\frac{72}{91} \times \frac{3}{2} = \frac{144}{273}$

Let's Simplify $\frac{144}{273}$

• Find the Greatest Common Divisor (GCD) of $144$ and $273$. The GCD of $144$ and $273$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 3}{273 \div 3} = \frac{48}{91}$

Answer $\frac{72}{91}\div\frac{3}{2} = \frac{48}{91}$

The following animation demonstrates the divide-by,