What is 76/72 Divided By 3/2

Solving $\frac{76}{72}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{72} \div \frac{3}{2} = \frac{76}{72} \times \frac{2}{3}$

• Multiply the Numerators: $76 \times 2 = 152$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{76}{72} \times \frac{3}{2} = \frac{152}{216}$

Let's Simplify $\frac{152}{216}$

• Find the Greatest Common Divisor (GCD) of $152$ and $216$. The GCD of $152$ and $216$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 8}{216 \div 8} = \frac{19}{27}$

Answer $\frac{76}{72}\div\frac{3}{2} = \frac{19}{27}$

The following animation demonstrates the divide-by,