What is 60/42 Divided By 4/7

Solving $\frac{60}{42}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{42} \div \frac{4}{7} = \frac{60}{42} \times \frac{7}{4}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{60}{42} \times \frac{4}{7} = \frac{420}{168}$

Let's Simplify $\frac{420}{168}$

• Find the Greatest Common Divisor (GCD) of $420$ and $168$. The GCD of $420$ and $168$ is $84$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 84}{168 \div 84} = \frac{5}{2}$

Answer $\frac{60}{42}\div\frac{4}{7} = \frac{5}{2}$

The following animation demonstrates the divide-by,