# How do you simplify the fraction 3/24?

Dec 5, 2016

$\frac{1}{8}$

#### Explanation:

Observe that 3 will divide exactly into 24 in that $3 \times 8 = 24$

You have two approaches available. The first of these is the more common. The second is the same as the first but it looks different.

$\textcolor{b l u e}{\text{Method 1}}$

Divide top and bottom by 3 giving:

$\frac{3}{24} \equiv \frac{3 \div 3}{24 \div 3} = \frac{1}{8}$

The $\equiv$ means equivalent to
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$\textcolor{b l u e}{\text{Method 2}}$

Multiply by 1 and you do not change the value. But 1 comes in many forms so you can change the way the fraction looks without changing its value.

color(green)( 3/24color(red)(xx1)" "->" "3/24color(red)(xx(" "1/3" ")/(1/3))" " =" "1/8

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Note that
$3 \times \frac{1}{3}$ is the same as $3 \div 3$
$24 \times \frac{1}{3}$ is the same as $24 \div 3$