What is 24/45 Divided By 7/6

Solving $\frac{24}{45}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{45} \div \frac{7}{6} = \frac{24}{45} \times \frac{6}{7}$

• Multiply the Numerators: $24 \times 6 = 144$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{24}{45} \times \frac{7}{6} = \frac{144}{315}$

Let's Simplify $\frac{144}{315}$

• Find the Greatest Common Divisor (GCD) of $144$ and $315$. The GCD of $144$ and $315$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{315 \div 9} = \frac{16}{35}$

Answer $\frac{24}{45}\div\frac{7}{6} = \frac{16}{35}$

The following animation demonstrates the divide-by,