What is 48/45 Divided By 4/6

Solving $\frac{48}{45}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{45} \div \frac{4}{6} = \frac{48}{45} \times \frac{6}{4}$

• Multiply the Numerators: $48 \times 6 = 288$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{48}{45} \times \frac{4}{6} = \frac{288}{180}$

Let's Simplify $\frac{288}{180}$

• Find the Greatest Common Divisor (GCD) of $288$ and $180$. The GCD of $288$ and $180$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{288 \div 36}{180 \div 36} = \frac{8}{5}$

Answer $\frac{48}{45}\div\frac{4}{6} = \frac{8}{5}$

The following animation demonstrates the divide-by,