Question

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

Answer 1

Finding the expression:

“one-third” means $\frac{1}{3}$(number)

“of” means multiplication $\left(\times \right)$

Consider that any number is $m$

So,

One-third of a number $m$ can be written as:

=$\left(\mathrm{one}-\mathrm{third}\right)\left(\mathrm{a}\mathrm{number}\right)=\left(\frac{1}{3}\right)\left(m\right)$

Hence, one-third of a number $m$ is written as $\frac{1}{3}·m$.