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Chapter 1: Problem 33

Find each sum without the use of a number line. $$-\frac{5}{8}+\frac{3}{4}$$

Short Answer

Expert verified
The sum of \( -\frac{5}{8} \) and \( \frac{3}{4} \) is \( \frac{1}{8}. \)

Step by step solution

01

Identifying like denominators

Firstly, we need to find a common denominator that both fractions can share. This will be 8, since \( \frac{3}{4} \) can be converted to the fraction \( \frac{6}{8} \) without changing its value, and -\( \frac{5}{8} \) already has 8 as the denominator.
02

Converting fractions

Next, we convert \( \frac{3}{4} \) to \( \frac{6}{8} \). Now we have -\( \frac{5}{8} \) and \( \frac{6}{8} \), which can be added together due to their common denominator.
03

Performing the addition

Perform the addition operation. Adding the numerators of the two fractions gives -5+6=1. Thus, the sum is \( \frac{1}{8} \).

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Most popular questions from this chapter

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The quotient of \(-2\) and a number, subtracted from the quotient of \(-5\) and the number.

Perform the indicated subtraction. $$-2.06-(-2.06)$$

Perform the indicated subtraction. $$\frac{4}{9}-\frac{7}{9}$$

Simplify each series of additions and subtractions. $$-10-(-5)+7-2$$

Simplify each series of additions and subtractions. $$-6-2+3-10$$
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