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Chapter 4: Problem 14

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

Short Answer

Expert verified
Answer: The result of the operation is \(\frac{-4}{5}\).

Step by step solution

01

Rewrite the Integer as a Fraction with a Common Denominator

Rewrite 1 as a fraction with the same denominator as the other fraction. In this case, we will rewrite 1 as a fraction with a denominator of 5: $$1 = \frac{5}{5}$$
02

Subtract the Fractions

Now, we can subtract the two fractions since they have the same denominator: $$\frac{1}{5} - \frac{5}{5}$$
03

Perform the Operation and Simplify

Subtract the numerators and keep the denominator the same: $$\frac{1 - 5}{5} = \frac{-4}{5}$$ The given operation results in the lowest term of $$\frac{-4}{5}$$

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Most popular questions from this chapter

Perform the indicated operation. Write all results in lowest terms. $$\frac{1}{24}+\frac{5}{24}$$
Perform the indicated operation. Write all results in lowest terms. $$-\frac{7}{18}+\frac{1}{18}$$
Reduce the given fraction to an equivalent fraction in lowest terms. $$\frac{8}{28}$$

Perform the indicated operation. Write all results in lowest terms. $$\frac{5}{8}-\frac{3}{8}$$

a. As part of a science project, you do a study on the number of beans that actually sprout. You determine that approximately 9 out of 10 seeds germinate. Write this relationship as a fraction. b. Your uncle has ordered 2500 bean seeds for his commercial garden. Assuming that 9 out of every 10 seeds sprout, how many bean plants can he expect to sprout?
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