What is 24/35 Divided By 4/9

Solving $\frac{24}{35}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{35} \div \frac{4}{9} = \frac{24}{35} \times \frac{9}{4}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{24}{35} \times \frac{4}{9} = \frac{216}{140}$

Let's Simplify $\frac{216}{140}$

• Find the Greatest Common Divisor (GCD) of $216$ and $140$. The GCD of $216$ and $140$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 4}{140 \div 4} = \frac{54}{35}$

Answer $\frac{24}{35}\div\frac{4}{9} = \frac{54}{35}$

The following animation demonstrates the divide-by,