What is 24/43 Divided By 4/9

Solving $\frac{24}{43}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{43} \div \frac{4}{9} = \frac{24}{43} \times \frac{9}{4}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $43 \times 4 = 172$
• Form the New Fraction: $\frac{24}{43} \times \frac{4}{9} = \frac{216}{172}$

Let's Simplify $\frac{216}{172}$

• Find the Greatest Common Divisor (GCD) of $216$ and $172$. The GCD of $216$ and $172$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 4}{172 \div 4} = \frac{54}{43}$

Answer $\frac{24}{43}\div\frac{4}{9} = \frac{54}{43}$

The following animation demonstrates the divide-by,