Question

solve this in step by step calculation
$\frac{1}{9} + \frac{4}{9} - \frac{2}{3} + \frac{3}{9} + \frac{4}{3} \:$
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Answer 1

Answer:

□ -1.77✔✔

Step-by-step explanation:

$\frac{1}{9} + \frac{4}{9} - \frac{2}{3} + \frac{3}{9} + \frac{4}{3} \\ = \frac{1}{9} + \frac{4}{9} - \frac{2}{3} + \frac{3 + 12}{9} \\ = \frac{1}{9} + \frac{4}{9} - \frac{2}{3} + \frac{15}{9} \\ = \frac{1}{9} + \frac{4}{9} - \frac{6 + 15}{9} \\ = \frac{1}{9} + \frac{4}{9} - \frac{21}{9} \\ = \frac{1 + 4}{9} - \frac{21}{9} \\ = \frac{5 - 21}{9} \\ = \frac{ - 16}{9} = - 1.77$

Answer 2

$\huge{\boxed{\sf{SOLUTION-}}}$

Given that,

$\frac{1}{9} + \frac{4}{9} - \frac{2}{3} + \frac{3}{9} + \frac{4}{3}$

Applying BODMAS rule, first of all we will do addition and then subtraction.

$( \frac{1}{9} + \frac{4}{9} ) - \frac{2}{3} + ( \frac{3}{9} + \frac{4}{3} )$

Now adding the numbers which are enclosed in the brackets, we get,

$( \frac{5}{9} ) - \frac{2}{3} + \frac{(3 + 12)}{9}$

$\frac{5}{9} - \frac{2}{3} + \frac{15}{9}$

Again we have to do the addition portion as the first step

$\frac{5}{9} - ( \frac{6 + 15}{9} )$

$\frac{5}{9} - \frac{21}{9}$

$\frac{5 - 21}{9}$

$\frac{-16}{9}$

Hence, the required answer is -16/9