What is 70/42 Divided By 1/4

Solving $\frac{70}{42}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{42} \div \frac{1}{4} = \frac{70}{42} \times \frac{4}{1}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{70}{42} \times \frac{1}{4} = \frac{280}{42}$

Let's Simplify $\frac{280}{42}$

• Find the Greatest Common Divisor (GCD) of $280$ and $42$. The GCD of $280$ and $42$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 14}{42 \div 14} = \frac{20}{3}$

Answer $\frac{70}{42}\div\frac{1}{4} = \frac{20}{3}$

The following animation demonstrates the divide-by,