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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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What is ?/? - 3/4 = 2/3

$The image shows a mathematical equation with a blank square representing a missing value: \[ \square - \frac{3}{4} = \frac{2}{3} \] The equation is asking to find the value of the square that, when 3/4 is subtracted from it, results in 2/3. This is a basic algebraic problem that involves solving for the unknown variable. To solve for $\square$, you can add $\frac{3}{4}$ to both sides of the equation: \[ \square = \frac{2}{3} + \frac{3}{4} \] Next, find a common denominator to add the fractions. The least common multiple of 3 and 4 is 12. Convert the fractions: $\frac{2}{3} = \frac{8}{12}$ $\frac{3}{4} = \frac{9}{12}$ Add them: \[ \square = \frac{8}{12} + \frac{9}{12} = \frac{17}{12} \] Thus, the value of the square is $\frac{17}{12}$.$

Transcribed Image Text:The image shows a mathematical equation with a blank square representing a missing value: \[ \square - \frac{3}{4} = \frac{2}{3} \] The equation is asking to find the value of the square that, when 3/4 is subtracted from it, results in 2/3. This is a basic algebraic problem that involves solving for the unknown variable. To solve for $\square$, you can add $\frac{3}{4}$ to both sides of the equation: \[ \square = \frac{2}{3} + \frac{3}{4} \] Next, find a common denominator to add the fractions. The least common multiple of 3 and 4 is 12. Convert the fractions: $\frac{2}{3} = \frac{8}{12}$ $\frac{3}{4} = \frac{9}{12}$ Add them: \[ \square = \frac{8}{12} + \frac{9}{12} = \frac{17}{12} \] Thus, the value of the square is $\frac{17}{12}$.

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