What is 52/76 Divided By 4/6

Solving $\frac{52}{76}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{76} \div \frac{4}{6} = \frac{52}{76} \times \frac{6}{4}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $76 \times 4 = 304$
• Form the New Fraction: $\frac{52}{76} \times \frac{4}{6} = \frac{312}{304}$

Let's Simplify $\frac{312}{304}$

• Find the Greatest Common Divisor (GCD) of $312$ and $304$. The GCD of $312$ and $304$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 8}{304 \div 8} = \frac{39}{38}$

Answer $\frac{52}{76}\div\frac{4}{6} = \frac{39}{38}$

The following animation demonstrates the divide-by,