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Chapter 1: Problem 29

Perform the indicated subtraction. $$\frac{1}{5}-\left(-\frac{3}{5}\right)$$

Short Answer

Expert verified
\(\frac{4}{5}\)

Step by step solution

01

Identify the Problem

We want to subtract \(- \frac{3}{5}\) from \(\frac{1}{5}\). Since subtracting a negative number is equivalent to adding a positive number, the expression can be rewritten as \(\frac{1}{5} + \frac{3}{5}\).
02

Add the Fractions

Since the fractions have the same denominator, we can simply add their numerators. Adding together 1 and 3 we get 4. Therefore, \(\frac{1}{5} + \frac{3}{5} = \frac{4}{5}\).
03

Verification

To verify the result, one can substitute \(\frac{1}{5} + \frac{3}{5} = \frac{4}{5}\) into the original problem. The original problem states \(\frac{1}{5}-\left(-\frac{3}{5}\right)\). Rewriting this as \(\frac{1}{5} + \frac{3}{5}\), it can be verified that the solution is indeed \(\frac{4}{5}\).

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Most popular questions from this chapter

Simplify each series of additions and subtractions. $$-\frac{1}{2}-\frac{2}{3}-\left(-\frac{1}{3}\right)$$

Simplify each algebraic expression. $$15-(-3 x)+8 x-(-10)$$

Simplify each algebraic expression. $$13-(-7 x)+4 x-(-11)$$

Simplify each series of additions and subtractions. $$1-\frac{2}{3}-\left(-\frac{5}{6}\right)$$

Simplify: \(5(3 x+2 y)+6(5 y) .\) (Section 1.4, Example 11)
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