Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 24, 2023

Add the fractions $\frac{1}{10}$ and $-\frac{9}{10}$ .

STEP 1

Assumptions1. We are adding two fractions $\frac{1}{10}$ and $-\frac{9}{10}$ . . The fractions have the same denominator, so they can be directly added.

STEP 2

To add fractions, we add the numerators and keep the denominator the same. $\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$

STEP 3

Now, plug in the given values for the numerators and denominator to calculate the sum.
$\frac{1}{10} + \left(-\frac{9}{10}\right) = \frac{1 + (-9)}{10}$

STEP 4

Calculate the sum of the numerators.
$\frac{1 + (-9)}{10} = \frac{-8}{10}$

STEP 5

implify the fraction if possible. In this case, both the numerator and the denominator can be divided by2.
$\frac{-8}{10} = -\frac{8}{10} = -\frac{4}{5}$ So, $\frac{1}{10} + \left(-\frac{9}{10}\right) = -\frac{4}{5}$ .

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