What is 22/75 Divided By 4/1

Solving $\frac{22}{75}\div\frac{4}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{75} \div \frac{4}{1} = \frac{22}{75} \times \frac{1}{4}$

• Multiply the Numerators: $22 \times 1 = 22$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{22}{75} \times \frac{4}{1} = \frac{22}{300}$

Let's Simplify $\frac{22}{300}$

• Find the Greatest Common Divisor (GCD) of $22$ and $300$. The GCD of $22$ and $300$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{22 \div 2}{300 \div 2} = \frac{11}{150}$

Answer $\frac{22}{75}\div\frac{4}{1} = \frac{11}{150}$

The following animation demonstrates the divide-by,