What is 46/75 Divided By 4/1

Solving $\frac{46}{75}\div\frac{4}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{4}{1} = \frac{46}{75} \times \frac{1}{4}$

• Multiply the Numerators: $46 \times 1 = 46$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{46}{75} \times \frac{4}{1} = \frac{46}{300}$

Let's Simplify $\frac{46}{300}$

• Find the Greatest Common Divisor (GCD) of $46$ and $300$. The GCD of $46$ and $300$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{46 \div 2}{300 \div 2} = \frac{23}{150}$

Answer $\frac{46}{75}\div\frac{4}{1} = \frac{23}{150}$

The following animation demonstrates the divide-by,