What is 42/81 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{42}{81} \times \frac{2}{3} = \frac{126}{162}$

Let's Simplify $\frac{126}{162}$

• Find the Greatest Common Divisor (GCD) of $126$ and $162$. The GCD of $126$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{162 \div 18} = \frac{7}{9}$

Answer $\frac{42}{81}\div\frac{2}{3} = \frac{7}{9}$

The following animation demonstrates the divide-by,