What is 24/81 Divided By 7/2

Solving $\frac{24}{81}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{81} \div \frac{7}{2} = \frac{24}{81} \times \frac{2}{7}$

• Multiply the Numerators: $24 \times 2 = 48$
• Multiply the Denominators: $81 \times 7 = 567$
• Form the New Fraction: $\frac{24}{81} \times \frac{7}{2} = \frac{48}{567}$

Let's Simplify $\frac{48}{567}$

• Find the Greatest Common Divisor (GCD) of $48$ and $567$. The GCD of $48$ and $567$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{48 \div 3}{567 \div 3} = \frac{16}{189}$

Answer $\frac{24}{81}\div\frac{7}{2} = \frac{16}{189}$

The following animation demonstrates the divide-by,