What is 61/81 Divided By 3/9

Solving $\frac{61}{81}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{81} \div \frac{3}{9} = \frac{61}{81} \times \frac{9}{3}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{61}{81} \times \frac{3}{9} = \frac{549}{243}$

Let's Simplify $\frac{549}{243}$

• Find the Greatest Common Divisor (GCD) of $549$ and $243$. The GCD of $549$ and $243$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{549 \div 9}{243 \div 9} = \frac{61}{27}$

Answer $\frac{61}{81}\div\frac{3}{9} = \frac{61}{27}$

The following animation demonstrates the divide-by,