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Chapter 4: Problem 2

Perform the indicated operation. Write all results in lowest terms. $$\frac{4}{5}-\frac{1}{5}$$

Short Answer

Expert verified
Answer: $$\frac{3}{5}$$.

Step by step solution

01

Identify the denominators

In this exercise, the fractions have the same denominators. The two fractions are: $$\frac{4}{5}$$ and $$\frac{1}{5}$$ The common denominator is 5.
02

Subtract the fractions

Since the fractions have the same denominator, we can subtract the numerators: $$\frac{4}{5} - \frac{1}{5} = \frac{4 - 1}{5}$$
03

Simplify the expression

Now, we simply perform the subtraction in the numerator: $$\frac{3}{5}$$
04

Write the result

The subtraction of these fractions results in: $$\frac{3}{5}$$

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Most popular questions from this chapter

You check the oil level in your car, and it is down a quart. You dutifully add an estimated \(\frac{1}{3}\) quart because that is all you have on hand. a. Later, you buy another quart of oil and add about \(\frac{1}{2}\) quart before you stop and ask yourself this question: How much more oil will it take without overfilling? b. Estimate the amount wasted if you pour in the remaining half quart, assuming that anything over the fill line spills out.
The final grade in one of your friend's courses is determined by a term paper, exams, quizzes, and class participation. The term paper is worth \(\frac{1}{5}\), the exams \(\frac{1}{3}\), and the quizzes \(\frac{1}{4}\) of the final grade. a. If \(x\) represents the fractional part of the final grade for class participation, write an equation describing the situation. b. Solve the equation for \(x\)
An object dropped from a height falls a distance of \(d\) feet in \(t\) seconds. The formula that describes this relationship is \(d=16 t^{2} .\) A math book is dropped from the top of a building that is 400 feet high. a. How far has the book fallen in \(\frac{1}{2}\) second? b. After \(\frac{3}{4}\) seconds, how far above the ground is the book?
Perform the indicated operation. Write all results in lowest terms. $$\frac{1}{2}-\frac{1}{3}-\frac{1}{4}$$
Perform the indicated operation. Write all results in lowest terms. $$\frac{1}{4}+\frac{4}{9}-\frac{1}{9}$$
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