Q18. - Algebra 1

Question

Evaluate the following expression:

$3\frac{1}{5}\cdot \frac{3}{4}$

Step-by-Step Solution

Answer

The value $3\frac{1}{5}\cdot \frac{3}{4}$ is $\frac{12}{5}$.

Step 1. Given information.

Th given expression is:

$3\frac{1}{5}\cdot \frac{3}{4}$

Step 2. Write the concept.

The rule for multiplication of fractions is $\frac{a}{b}\cdot \frac{c}{d}=\frac{ac}{bd}$.

Step 3. Simplify the expression.

The expression $3\frac{1}{5}\cdot \frac{3}{4}$ can be simplified as in below.

 

$$\begin{gathered} 3\frac{1}{5}\cdot \frac{3}{4}=\frac{16}{5}\cdot \frac{3}{4} \\ =\frac{16\cdot 3}{5\cdot 4} \\ =\frac{4\cdot 4\cdot 3}{5\cdot 4} \\ =\frac{4\cdot 3}{5} \\ =\frac{12}{5} \end{gathered}$$