What is 24/42 Divided By 5/9

Solving $\frac{24}{42}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{42} \div \frac{5}{9} = \frac{24}{42} \times \frac{9}{5}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{24}{42} \times \frac{5}{9} = \frac{216}{210}$

Let's Simplify $\frac{216}{210}$

• Find the Greatest Common Divisor (GCD) of $216$ and $210$. The GCD of $216$ and $210$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 6}{210 \div 6} = \frac{36}{35}$

Answer $\frac{24}{42}\div\frac{5}{9} = \frac{36}{35}$

The following animation demonstrates the divide-by,