What is 24/38 Divided By 9/5

Solving $\frac{24}{38}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{38} \div \frac{9}{5} = \frac{24}{38} \times \frac{5}{9}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{24}{38} \times \frac{9}{5} = \frac{120}{342}$

Let's Simplify $\frac{120}{342}$

• Find the Greatest Common Divisor (GCD) of $120$ and $342$. The GCD of $120$ and $342$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 6}{342 \div 6} = \frac{20}{57}$

Answer $\frac{24}{38}\div\frac{9}{5} = \frac{20}{57}$

The following animation demonstrates the divide-by,