What is 42/81 Divided By 3/2

Solving $\frac{42}{81}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{81} \div \frac{3}{2} = \frac{42}{81} \times \frac{2}{3}$

• Multiply the Numerators: $42 \times 2 = 84$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{42}{81} \times \frac{3}{2} = \frac{84}{243}$

Let's Simplify $\frac{84}{243}$

• Find the Greatest Common Divisor (GCD) of $84$ and $243$. The GCD of $84$ and $243$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 3}{243 \div 3} = \frac{28}{81}$

Answer $\frac{42}{81}\div\frac{3}{2} = \frac{28}{81}$

The following animation demonstrates the divide-by,