What is 42/81 Divided By 1/3

Solving $\frac{42}{81}\div\frac{1}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{81} \div \frac{1}{3} = \frac{42}{81} \times \frac{3}{1}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{42}{81} \times \frac{1}{3} = \frac{126}{81}$

Let's Simplify $\frac{126}{81}$

• Find the Greatest Common Divisor (GCD) of $126$ and $81$. The GCD of $126$ and $81$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 9}{81 \div 9} = \frac{14}{9}$

Answer $\frac{42}{81}\div\frac{1}{3} = \frac{14}{9}$

The following animation demonstrates the divide-by,