What is 45/24 Divided By 4/7

Solving $\frac{45}{24}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{24} \div \frac{4}{7} = \frac{45}{24} \times \frac{7}{4}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{45}{24} \times \frac{4}{7} = \frac{315}{96}$

Let's Simplify $\frac{315}{96}$

• Find the Greatest Common Divisor (GCD) of $315$ and $96$. The GCD of $315$ and $96$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 3}{96 \div 3} = \frac{105}{32}$

Answer $\frac{45}{24}\div\frac{4}{7} = \frac{105}{32}$

The following animation demonstrates the divide-by,