What is 52/75 Divided By 2/3

Solving $\frac{52}{75}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{2}{3} = \frac{52}{75} \times \frac{3}{2}$

• Multiply the Numerators: $52 \times 3 = 156$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{52}{75} \times \frac{2}{3} = \frac{156}{150}$

Let's Simplify $\frac{156}{150}$

• Find the Greatest Common Divisor (GCD) of $156$ and $150$. The GCD of $156$ and $150$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 6}{150 \div 6} = \frac{26}{25}$

Answer $\frac{52}{75}\div\frac{2}{3} = \frac{26}{25}$

The following animation demonstrates the divide-by,