What is 45/72 Divided By 3/4

Solving $\frac{45}{72}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{72} \div \frac{3}{4} = \frac{45}{72} \times \frac{4}{3}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{45}{72} \times \frac{3}{4} = \frac{180}{216}$

Let's Simplify $\frac{180}{216}$

• Find the Greatest Common Divisor (GCD) of $180$ and $216$. The GCD of $180$ and $216$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 36}{216 \div 36} = \frac{5}{6}$

Answer $\frac{45}{72}\div\frac{3}{4} = \frac{5}{6}$

The following animation demonstrates the divide-by,