What is 63/81 Divided By 3/2

Solving $\frac{63}{81}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{63}{81} \div \frac{3}{2} = \frac{63}{81} \times \frac{2}{3}$

• Multiply the Numerators: $63 \times 2 = 126$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{63}{81} \times \frac{3}{2} = \frac{126}{243}$

Let's Simplify $\frac{126}{243}$

• Find the Greatest Common Divisor (GCD) of $126$ and $243$. The GCD of $126$ and $243$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 9}{243 \div 9} = \frac{14}{27}$

Answer $\frac{63}{81}\div\frac{3}{2} = \frac{14}{27}$

The following animation demonstrates the divide-by,