Get the solution to "Add. −89+13 Write your answer in simplest form"

Cabiolab

Answered question

2021-10-18

Add.

- \frac{8}{9} + \frac{1}{3}

Write your answer in simplest form

Answer & Explanation

hesgidiauE

Skilled2021-10-19Added 106 answers

Step 1
Given:
The expression
$- \frac{8}{9} + \frac{1}{3}$
Step 2
For the addition of both the fraction, firstly find the LCD of both the fractions.
Denominators of the fractions are 9 and 3.
The factors of 9 are $9 = 3 \times 3 and 3 = 3 \times 1$
Thus the LCD is $3 \times 3 = 9$
Step 3
Now make both the fractions the same as LCD.
To make both the fractions the same as LCD, multiply numerator and denominator of the second fraction $\frac{1}{3}$ by 3.
Therefore,
$- \frac{8}{9} + \frac{1}{3} = - \frac{8}{9} \pm \frac{1 \times 3}{3 \times 3}$
$= - \frac{8}{9} + \frac{3}{9}$
Step 4
Now as denominators are the same, add numerator over the common denominator.
$- \frac{8}{9} + \frac{1}{3} = \frac{- 8 + 3}{9} = \frac{- 5}{9}$
$- \frac{8}{9} + \frac{1}{3} = - \frac{5}{9}$

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