What is 24/45 Divided By 6/5

Solving $\frac{24}{45}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{45} \div \frac{6}{5} = \frac{24}{45} \times \frac{5}{6}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $45 \times 6 = 270$
• Form the New Fraction: $\frac{24}{45} \times \frac{6}{5} = \frac{120}{270}$

Let's Simplify $\frac{120}{270}$

• Find the Greatest Common Divisor (GCD) of $120$ and $270$. The GCD of $120$ and $270$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 30}{270 \div 30} = \frac{4}{9}$

Answer $\frac{24}{45}\div\frac{6}{5} = \frac{4}{9}$

The following animation demonstrates the divide-by,