What is 42/60 Divided By 1/4

Solving $\frac{42}{60}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{60} \div \frac{1}{4} = \frac{42}{60} \times \frac{4}{1}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $60 \times 1 = 60$
• Form the New Fraction: $\frac{42}{60} \times \frac{1}{4} = \frac{168}{60}$

Let's Simplify $\frac{168}{60}$

• Find the Greatest Common Divisor (GCD) of $168$ and $60$. The GCD of $168$ and $60$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 12}{60 \div 12} = \frac{14}{5}$

Answer $\frac{42}{60}\div\frac{1}{4} = \frac{14}{5}$

The following animation demonstrates the divide-by,