Evaluate: 3/7 + -11/4+16/5 - -18/7

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Solution

Dear student
$\frac{3}{7} + (- \frac{11}{4}) + \frac{16}{5} - (- \frac{18}{7}) = \frac{3}{7} - \frac{11}{4} + \frac{16}{5} + \frac{18}{7} = \frac{60 - 385 + 448 + 360}{140} = \frac{483}{140}$
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Similar questions

Q. Evaluate

\frac{- 12}{5} + \frac{31}{10} + \frac{11}{- 15} + \frac{- 7}{- 18}

Q. 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}

Evaluate :

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

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Evaluate

$\frac{- 2}{7} + \frac{- 4}{11} + \frac{- 12}{7} + \frac{- 7}{11}$

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Evaluate: 3/7 + -11/4+16/5 - -18/7

Dear student 37+-114+165--187=37-114+165+187=60-385+448+360140=483140 Regards

Dear student
$\frac{3}{7} + (- \frac{11}{4}) + \frac{16}{5} - (- \frac{18}{7}) = \frac{3}{7} - \frac{11}{4} + \frac{16}{5} + \frac{18}{7} = \frac{60 - 385 + 448 + 360}{140} = \frac{483}{140}$
Regards