What is 38/46 Divided By 4/9

Solving $\frac{38}{46}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{46} \div \frac{4}{9} = \frac{38}{46} \times \frac{9}{4}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $46 \times 4 = 184$
• Form the New Fraction: $\frac{38}{46} \times \frac{4}{9} = \frac{342}{184}$

Let's Simplify $\frac{342}{184}$

• Find the Greatest Common Divisor (GCD) of $342$ and $184$. The GCD of $342$ and $184$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 2}{184 \div 2} = \frac{171}{92}$

Answer $\frac{38}{46}\div\frac{4}{9} = \frac{171}{92}$

The following animation demonstrates the divide-by,