# How do you simplify the expression (12g)/25 * 5/(2g)?

Mar 6, 2018

color(magenta)(=6/5

#### Explanation:

$\frac{12 g}{25} \times \frac{5}{2 g}$

[Reduce the like terms to their lowest forms]

color(magenta)(=6/5

~Hope this helps! :)

Mar 6, 2018

$\frac{6}{5} \to 1 \frac{1}{5}$

#### Explanation:

Demonstration of the principle I am about to use.

Consider the example: $2 \times 4 = 4 \times 2 = 8$

You can swap things round in multiplication.
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Given: $\frac{12 g}{25} \times \frac{5}{2 g}$

This is the same as: $\frac{g}{g} \times \textcolor{w h i t e}{\text{d")12/2 color(white)("d.")xx color(white)("d.}} \frac{5}{25}$

$\textcolor{w h i t e}{\text{dddddddd")-> color(white)("dddd}} 1 \times \frac{\cancel{2} \times 6}{\cancel{2}} \times \frac{\cancel{5}}{\cancel{5} \times 5} = \frac{6}{5}$