What is 35/50 Divided By 1/4

Solving $\frac{35}{50}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{50} \div \frac{1}{4} = \frac{35}{50} \times \frac{4}{1}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $50 \times 1 = 50$
• Form the New Fraction: $\frac{35}{50} \times \frac{1}{4} = \frac{140}{50}$

Let's Simplify $\frac{140}{50}$

• Find the Greatest Common Divisor (GCD) of $140$ and $50$. The GCD of $140$ and $50$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 10}{50 \div 10} = \frac{14}{5}$

Answer $\frac{35}{50}\div\frac{1}{4} = \frac{14}{5}$

The following animation demonstrates the divide-by,