What is 52/74 Divided By 2/6

Solving $\frac{52}{74}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{74} \div \frac{2}{6} = \frac{52}{74} \times \frac{6}{2}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $74 \times 2 = 148$
• Form the New Fraction: $\frac{52}{74} \times \frac{2}{6} = \frac{312}{148}$

Let's Simplify $\frac{312}{148}$

• Find the Greatest Common Divisor (GCD) of $312$ and $148$. The GCD of $312$ and $148$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 4}{148 \div 4} = \frac{78}{37}$

Answer $\frac{52}{74}\div\frac{2}{6} = \frac{78}{37}$

The following animation demonstrates the divide-by,