What is 35/85 Divided By 1/4

Solving $\frac{35}{85}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{85} \div \frac{1}{4} = \frac{35}{85} \times \frac{4}{1}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{35}{85} \times \frac{1}{4} = \frac{140}{85}$

Let's Simplify $\frac{140}{85}$

• Find the Greatest Common Divisor (GCD) of $140$ and $85$. The GCD of $140$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 5}{85 \div 5} = \frac{28}{17}$

Answer $\frac{35}{85}\div\frac{1}{4} = \frac{28}{17}$

The following animation demonstrates the divide-by,