Question

please give explanation ​

Answer 1

Question:-(1)

$2 + \frac{1}{3} + \frac{1}{ - 5}$

Answer:

$2 + \frac{1}{3} + \frac{1}{ - 5} \\ \\ = 2 + \frac{1}{3} - \frac{1}{5} \\ \\ = \frac{6 + 1}{3} - \frac{1}{5} \\ \\ = \frac{35 - 3}{15 } \\ \\ = \frac{32}{15} (answer)$

Question:-(2)

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

Answer:

$- 3 + \frac{2}{ - 3} + \frac{ - 3}{ - 5} \\ \\ = - 3 - \frac{2}{3} + \frac{3}{5} \\ \\ = \frac{ -45 - 10 + 9}{15} \\ \\ = \frac{ - 46}{15} (answer)$

Question:-(3)

$\frac{ - 15}{169} + \frac{2}{13} + \frac{7}{26}$

Answer:

$\frac{ - 15}{169} + \frac{2}{13} + \frac{7}{26} \\ \\ = \frac{(2 \times ( - 15) + (26 \times 2) + (13 \times 7)}{338} \\ \\ = \frac{ - 30 + 52 + 91}{338} \\ \\ = \frac{113}{338} (answer)$

Question:-(4)

$\frac{ - 9}{ - 7} + \frac{3}{14} + \frac{ - 8}{21}$

Answer:

$\frac{ - 9}{ - 7} + \frac{3}{14} + \frac{ - 8}{21} \\ \\ = \frac{9}{7} + \frac{3}{14} - \frac{8}{21} \\ \\ = \frac{54 + 9 - 16}{42} \\ \\ = \frac{47}{42} (answer)$

Question:-(5)

$- 7 + \frac{23}{4} - \frac{7}{36} + \frac{ - 11}{ - 48}$

Answer:

$- 7 + \frac{23}{4} - \frac{7}{36} + \frac{ - 11}{ - 48} \\ \\ = \frac{ - 1008 + 138 - 28 + 33}{144} \\ \\ = \frac{ - 1036 + 171}{144} \\ \\ = \frac{ - 865}{144} (answer)$

Question:-(6)

$\frac{81}{ - 125} + \frac{51}{50} + \frac{ - 91}{ - 25}$

Answer:

$\frac{81}{ - 125} + \frac{51}{50} + \frac{ - 91}{ - 25} \\ \\ = \frac{ - 162 + 255 + 910}{250} \\ \\ = \frac{93 + 910}{250} \\ \\ = \frac{1003}{250} (answer)$

I hope it is helpful to you