What is 72/45 Divided By 7/4

Solving $\frac{72}{45}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{45} \div \frac{7}{4} = \frac{72}{45} \times \frac{4}{7}$

• Multiply the Numerators: $72 \times 4 = 288$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{72}{45} \times \frac{7}{4} = \frac{288}{315}$

Let's Simplify $\frac{288}{315}$

• Find the Greatest Common Divisor (GCD) of $288$ and $315$. The GCD of $288$ and $315$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{288 \div 9}{315 \div 9} = \frac{32}{35}$

Answer $\frac{72}{45}\div\frac{7}{4} = \frac{32}{35}$

The following animation demonstrates the divide-by,