What is 45/81 Divided By 3/2

Solving $\frac{45}{81}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{81} \div \frac{3}{2} = \frac{45}{81} \times \frac{2}{3}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{45}{81} \times \frac{3}{2} = \frac{90}{243}$

Let's Simplify $\frac{90}{243}$

• Find the Greatest Common Divisor (GCD) of $90$ and $243$. The GCD of $90$ and $243$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 9}{243 \div 9} = \frac{10}{27}$

Answer $\frac{45}{81}\div\frac{3}{2} = \frac{10}{27}$

The following animation demonstrates the divide-by,