What is 53/81 Divided By 2/3

Solving $\frac{53}{81}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{81} \div \frac{2}{3} = \frac{53}{81} \times \frac{3}{2}$

• Multiply the Numerators: $53 \times 3 = 159$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{53}{81} \times \frac{2}{3} = \frac{159}{162}$

Let's Simplify $\frac{159}{162}$

• Find the Greatest Common Divisor (GCD) of $159$ and $162$. The GCD of $159$ and $162$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{159 \div 3}{162 \div 3} = \frac{53}{54}$

Answer $\frac{53}{81}\div\frac{2}{3} = \frac{53}{54}$

The following animation demonstrates the divide-by,