What is 52/75 Divided By 2/6

Solving $\frac{52}{75}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{2}{6} = \frac{52}{75} \times \frac{6}{2}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{52}{75} \times \frac{2}{6} = \frac{312}{150}$

Let's Simplify $\frac{312}{150}$

• Find the Greatest Common Divisor (GCD) of $312$ and $150$. The GCD of $312$ and $150$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 6}{150 \div 6} = \frac{52}{25}$

Answer $\frac{52}{75}\div\frac{2}{6} = \frac{52}{25}$

The following animation demonstrates the divide-by,