What is 34/81 Divided By 1/3

Solving $\frac{34}{81}\div\frac{1}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{81} \div \frac{1}{3} = \frac{34}{81} \times \frac{3}{1}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{34}{81} \times \frac{1}{3} = \frac{102}{81}$

Let's Simplify $\frac{102}{81}$

• Find the Greatest Common Divisor (GCD) of $102$ and $81$. The GCD of $102$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 3}{81 \div 3} = \frac{34}{27}$

Answer $\frac{34}{81}\div\frac{1}{3} = \frac{34}{27}$

The following animation demonstrates the divide-by,