What is 45/24 Divided By 6/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,