Q16. - Algebra 1

Question

Evaluate the following expression:

$\frac{3}{8}÷\frac{1}{4}$

Step-by-Step Solution

Answer

The value $\frac{3}{8}÷\frac{1}{4}$ is $\frac{3}{2}$.

Step 1. Given information.

The given expression is:

$\frac{3}{8}÷\frac{1}{4}$

Step 2. Write the concept.

The rule for dividing fractions is:

$\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

Step 3. Simplify the expression.

The expression $\frac{3}{8}÷\frac{1}{4}$ can be simplified as in below.

 

$\begin{array}{c}\frac{3}{8}÷\frac{1}{4}=\frac{3}{8}\times \frac{4}{1}\\ =\frac{3\times 4}{8}\\ =\frac{3\times 4}{2\times 4}\\ =\frac{3}{2}\end{array}$