What is 70/24 Divided By 1/4

Solving $\frac{70}{24}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{24} \div \frac{1}{4} = \frac{70}{24} \times \frac{4}{1}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $24 \times 1 = 24$
• Form the New Fraction: $\frac{70}{24} \times \frac{1}{4} = \frac{280}{24}$

Let's Simplify $\frac{280}{24}$

• Find the Greatest Common Divisor (GCD) of $280$ and $24$. The GCD of $280$ and $24$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 8}{24 \div 8} = \frac{35}{3}$

Answer $\frac{70}{24}\div\frac{1}{4} = \frac{35}{3}$

The following animation demonstrates the divide-by,