What is 53/24 Divided By 2/3

Solving $\frac{53}{24}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{24} \div \frac{2}{3} = \frac{53}{24} \times \frac{3}{2}$

• Multiply the Numerators: $53 \times 3 = 159$
• Multiply the Denominators: $24 \times 2 = 48$
• Form the New Fraction: $\frac{53}{24} \times \frac{2}{3} = \frac{159}{48}$

Let's Simplify $\frac{159}{48}$

• Find the Greatest Common Divisor (GCD) of $159$ and $48$. The GCD of $159$ and $48$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{159 \div 3}{48 \div 3} = \frac{53}{16}$

Answer $\frac{53}{24}\div\frac{2}{3} = \frac{53}{16}$

The following animation demonstrates the divide-by,