# How do you write an algebraic expression for the word phrase: one third of a number m?

Jul 1, 2016

$\frac{1}{3} m$ or $\frac{m}{3}$

#### Explanation:

One third = $\frac{1}{3}$ (the number)

'Of' = multiplication (symbol : $\times$)

a number $m$ = $m$ (variable)
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One third of a number $m$

= (one third)(a number $m$)

= $\left(\frac{1}{3}\right)$(a variable)

= $\left(\frac{1}{3}\right) \left(m\right)$

= $\frac{1}{3} m$ or

$\frac{m}{3}$ since $\frac{1}{3} \cdot \frac{m}{1} = \frac{m}{3}$