What is 60/24 Divided By 4/7

Solving $\frac{60}{24}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{24} \div \frac{4}{7} = \frac{60}{24} \times \frac{7}{4}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{60}{24} \times \frac{4}{7} = \frac{420}{96}$

Let's Simplify $\frac{420}{96}$

• Find the Greatest Common Divisor (GCD) of $420$ and $96$. The GCD of $420$ and $96$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 12}{96 \div 12} = \frac{35}{8}$

Answer $\frac{60}{24}\div\frac{4}{7} = \frac{35}{8}$

The following animation demonstrates the divide-by,