What is 52/74 Divided By 4/6

Solving $\frac{52}{74}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{74} \div \frac{4}{6} = \frac{52}{74} \times \frac{6}{4}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{52}{74} \times \frac{4}{6} = \frac{312}{296}$

Let's Simplify $\frac{312}{296}$

• Find the Greatest Common Divisor (GCD) of $312$ and $296$. The GCD of $312$ and $296$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 8}{296 \div 8} = \frac{39}{37}$

Answer $\frac{52}{74}\div\frac{4}{6} = \frac{39}{37}$

The following animation demonstrates the divide-by,