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$Translate the phrase to an algebraic expression. Let x represent the unknown number. a fourth of a number The algebraic expression is ◻. (Use integers or fractions for any numbers in the expression.)$

Translate the phrase to an algebraic expression. Let x represent the unknown number. $\newline$ a fourth of a number $\newline$ The algebraic expression is $\square$ . $\newline$ (Use integers or fractions for any numbers in the expression.)

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Probability of simple events

Full solution

Q. Translate the phrase to an algebraic expression. Let x represent the unknown number.

\newline

a fourth of a number

\newline

The algebraic expression is

\square

.

\newline

(Use integers or fractions for any numbers in the expression.)

Understand meaning of phrase: To translate the phrase ＂a fourth of a number＂ into an algebraic expression, we need to understand that ＂a fourth＂ means one part out of four, which is the same as dividing by $4$ . Since the number is unknown, we represent it with a variable, typically $x$ . Therefore, a fourth of a number is written as $\frac{x}{4}$ .
Represent with variable: Now, we check for any mathematical errors in our translation. The phrase ＂a fourth of a number＂ correctly translates to $x/4$ , as ＂a fourth＂ is $1/4$ and ＂of＂ indicates multiplication, which in this case is the same as division by the reciprocal. There are no mathematical errors in this step.

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