Final answer:
The correct variable expressions that represent the phrase 'one-fourth of a number' are (1/4)x and x/4, because they both either multiply or divide the number (variable) by 4.
Step-by-step explanation:
The phrase 'one-fourth of a number' implies that the number is being divided by 4 or multiplied by 1/4. We are looking for an expression that indicates the operation of division or multiplication and represents one-fourth of a given number (variable). Therefore, the correct answers are (1/4)x, and x/4.
To explain, (1/4)x means you are multiplying the number or variable (x) by 1/4. Likewise, x/4 means the variable (x) is divided by 4. Both of these expressions effectively represent the phrase 'one-fourth of a number'.
Learn more about Variable Expressions