What is 38/52 Divided By 4/6

Solving $\frac{38}{52}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{52} \div \frac{4}{6} = \frac{38}{52} \times \frac{6}{4}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{38}{52} \times \frac{4}{6} = \frac{228}{208}$

Let's Simplify $\frac{228}{208}$

• Find the Greatest Common Divisor (GCD) of $228$ and $208$. The GCD of $228$ and $208$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 4}{208 \div 4} = \frac{57}{52}$

Answer $\frac{38}{52}\div\frac{4}{6} = \frac{57}{52}$

The following animation demonstrates the divide-by,