What is 48/81 Divided By 8/6

Solving $\frac{48}{81}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{81} \div \frac{8}{6} = \frac{48}{81} \times \frac{6}{8}$

• Multiply the Numerators: $48 \times 6 = 288$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{48}{81} \times \frac{8}{6} = \frac{288}{648}$

Let's Simplify $\frac{288}{648}$

• Find the Greatest Common Divisor (GCD) of $288$ and $648$. The GCD of $288$ and $648$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{288 \div 72}{648 \div 72} = \frac{4}{9}$

Answer $\frac{48}{81}\div\frac{8}{6} = \frac{4}{9}$

The following animation demonstrates the divide-by,