Q78. - Algebra 1

Question

Determine the value of the following expression.

$6÷\frac{4}{5}$

Step-by-Step Solution

Answer

The value of the given expression is $\mathbf{7}\mathbf{.}\mathbf{5}$.

Step 1. Given information.

Given expression is:

$6÷\frac{4}{5}$

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. Solve the expression.

The given expression can be written as in below:

$6÷\frac{4}{5}=\frac{6}{1}÷\frac{4}{5}$

Then,

$\begin{array}{l}6÷\frac{4}{5}=\frac{6}{1}\times \frac{5}{4}\\ =\frac{3}{1}\times \frac{5}{2}\\ =\frac{15}{2}\\ =7.5\end{array}$