What is 38/46 Divided By 4/6

Solving $\frac{38}{46}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{46} \div \frac{4}{6} = \frac{38}{46} \times \frac{6}{4}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $46 \times 4 = 184$
• Form the New Fraction: $\frac{38}{46} \times \frac{4}{6} = \frac{228}{184}$

Let's Simplify $\frac{228}{184}$

• Find the Greatest Common Divisor (GCD) of $228$ and $184$. The GCD of $228$ and $184$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 4}{184 \div 4} = \frac{57}{46}$

Answer $\frac{38}{46}\div\frac{4}{6} = \frac{57}{46}$

The following animation demonstrates the divide-by,