What is 48/46 Divided By 4/9

Solving $\frac{48}{46}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{46} \div \frac{4}{9} = \frac{48}{46} \times \frac{9}{4}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $46 \times 4 = 184$
• Form the New Fraction: $\frac{48}{46} \times \frac{4}{9} = \frac{432}{184}$

Let's Simplify $\frac{432}{184}$

• Find the Greatest Common Divisor (GCD) of $432$ and $184$. The GCD of $432$ and $184$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 8}{184 \div 8} = \frac{54}{23}$

Answer $\frac{48}{46}\div\frac{4}{9} = \frac{54}{23}$

The following animation demonstrates the divide-by,