Evaluate- i 37 - -49 - -117 - 79 ii 23 - -45 - 13 - 25 iii 47 -89 - -137 - 179

Evaluate: (i) 37 + 49 117 79 =37 ( 117)+( 49) 79=37+117+( 49 79) =147 119=126 7763=4963=79 (ii) [23 + ( 45) 13 25]=(23 13)+( 45)+( ...

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Byju's Answer

Standard VI

Mathematics

Addition of Fractions

Evaluate: i ...

Question

Evaluate:
$(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9}$

$(i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5}$

$(i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}$

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Solution

Evaluate:
$(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9}$
$= \frac{3}{7} - (\frac{- 11}{7}) + (\frac{- 4}{9}) - \frac{7}{9} = \frac{3}{7} + \frac{11}{7} + (\frac{- 4}{9} - \frac{7}{9})$
$= \frac{14}{7} - \frac{11}{9} = \frac{126 - 77}{63} = \frac{49}{63} = \frac{7}{9}$
$(i i) [\frac{2}{3} + (\frac{- 4}{5}) - \frac{1}{3} - \frac{2}{5}] = (\frac{2}{3} - \frac{1}{3}) + (\frac{- 4}{5}) + (- \frac{2}{5})$
$= \frac{1}{3} - \frac{6}{5} = \frac{5 - 18}{15} = \frac{- 13}{15}$
$(i i i) \frac{4}{7} - (\frac{- 8}{9}) - (\frac{- 13}{7}) + \frac{17}{9} = \frac{4}{7} - (\frac{- 13}{7}) - (\frac{- 8}{9}) + \frac{17}{9}$
$= \frac{(4 + 13)}{7} + \frac{17}{9} + \frac{8}{9}$
$= \frac{17}{7} + \frac{17 + 8}{9} = \frac{17}{7} + \frac{25}{9}$
$= \frac{153 + 175}{63} = \frac{328}{63}$

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Similar questions

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

$(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5} (i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Without adding find the sum

(i) 1 + 3 + 5 + 7 + 9

(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Q. Question 9

3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17

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Evaluate:(i)37+−49−−117−79(ii)23+−45−13−25(iii)47−−89−−137+179

Evaluate:(i) 37+−49−−117−79=37−(−117)+(−49)−79=37+117+(−49−79)=147−119=126−7763=4963=79(ii) [23+(−45)−13−25]=(23−13)+(−45)+(−25)=13−65=5−1815=−1315(iii) 47−(−89)−(−137)+179=47−(−137)−(−89)+179=(4+13)7+179+89=177+17+89=177+259=153+17563=32863

Evaluate:
$(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9}$

$(i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5}$

$(i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}$