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Question 2, 2.5.31
points
Points: 0 of 1
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

Question 22, 22.55.3131\newlinepoints\newlinePoints: 00 of 11\newlineTranslate the phrase to an algebraic expression. Let x represent the unknown number a fourth of a number\newlineThe algebraic expression is \square .\newlineUse integers or fractions for any numbers in the expression

Full solution

Q. Question 22, 22.55.3131\newlinepoints\newlinePoints: 00 of 11\newlineTranslate the phrase to an algebraic expression. Let x represent the unknown number a fourth of a number\newlineThe algebraic expression is \square .\newlineUse integers or fractions for any numbers in the expression
  1. 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 44. Since the number is unknown, we represent it with a variable, typically xx. Therefore, a fourth of a number is written as x4\frac{x}{4}.
  2. Represent with variable: Now, we check for any mathematical errors in our translation. The phrase "a fourth of a number" correctly translates to x/4x/4, as "a fourth" is 1/41/4 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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