What is 24/35 Divided By 8/7

Solving $\frac{24}{35}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{35} \div \frac{8}{7} = \frac{24}{35} \times \frac{7}{8}$

• Multiply the Numerators: $24 \times 7 = 168$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{24}{35} \times \frac{8}{7} = \frac{168}{280}$

Let's Simplify $\frac{168}{280}$

• Find the Greatest Common Divisor (GCD) of $168$ and $280$. The GCD of $168$ and $280$ is $56$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 56}{280 \div 56} = \frac{3}{5}$

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

The following animation demonstrates the divide-by,