Question

Evaluate the following expression:

$\frac{3}{8}÷\frac{1}{4}$

Short answer

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

Step-by-step solution

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.

role="math" localid="1642068941031" $\begin{array}{c}\frac{3}{8}÷\frac{1}{4}=\frac{3}{8}\times \frac{4}{1}\\ =\frac{3\times 4}{8}\\ =\frac{3\times 4}{2\times 4}\\ =\frac{3}{2}\end{array}$