QuestionCalculate $-\frac{9}{10}+\frac{1}{10}$ .

Studdy Solution

STEP 1

Assumptions1. We are given two fractions $-\frac{9}{10}$ and $\frac{1}{10}$ . . We need to find the sum of these two fractions.

STEP 2

The sum of two fractions can be found by adding their numerators if their denominators are the same.
$Sum = \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$

STEP 3

Now, plug in the given values for the fractions to calculate the sum.
$Sum = -\frac{9}{10} + \frac{1}{10} = \frac{-9 +1}{10}$

STEP 4

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

STEP 5

The fraction $\frac{-8}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.
$Sum = \frac{-8/2}{10/2} = \frac{-4}{5}$ So, $-\frac{9}{10}+\frac{1}{10} = -\frac{4}{5}$ .

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