What is 24/35 Divided By 8/5

Solving $\frac{24}{35}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{35} \div \frac{8}{5} = \frac{24}{35} \times \frac{5}{8}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{24}{35} \times \frac{8}{5} = \frac{120}{280}$

Let's Simplify $\frac{120}{280}$

• Find the Greatest Common Divisor (GCD) of $120$ and $280$. The GCD of $120$ and $280$ is $40$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 40}{280 \div 40} = \frac{3}{7}$

Answer $\frac{24}{35}\div\frac{8}{5} = \frac{3}{7}$

The following animation demonstrates the divide-by,