Question

evaluate3/5+7/3+-11/5+-2/3

Answer 1

❙❙❈✪Answer✪❈❙❙

$\frac{1}{15}$

▌✿⍟Explanation⍟✿▐

$\frac{3}{5} + \frac{7}{3} - \frac{11}{5} - \frac{2}{3} \\ = ( \frac{3}{5} - \frac{11}{5} ) + ( \frac{7}{3} - \frac{2}{3} ) \\ = \frac{3 - 11}{5} + \frac{7 - 2}{3} \\ = - \frac{8}{5} + \frac{5}{3} \\ = \frac{ (- 8 \times 3) + (5 \times 5)}{5 \times 3} \\ = \frac{ - 24 + 25}{15} \\ = \frac{1}{15}$

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Note :-

• In the second step I united the like denominators within brackets ().
• In the third step Itook the LCM of the like denominators
• In the fourth step and in the rest of the steps as usual did the final evaluation/calculation.

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✎Hope it helps

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