What is 24/53 Divided By 8/3

Solving $\frac{24}{53}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{53} \div \frac{8}{3} = \frac{24}{53} \times \frac{3}{8}$

• Multiply the Numerators: $24 \times 3 = 72$
• Multiply the Denominators: $53 \times 8 = 424$
• Form the New Fraction: $\frac{24}{53} \times \frac{8}{3} = \frac{72}{424}$

Let's Simplify $\frac{72}{424}$

• Find the Greatest Common Divisor (GCD) of $72$ and $424$. The GCD of $72$ and $424$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{72 \div 8}{424 \div 8} = \frac{9}{53}$

Answer $\frac{24}{53}\div\frac{8}{3} = \frac{9}{53}$

The following animation demonstrates the divide-by,