evaluate: -13/8 + 5/16 + -1/4

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Solution

$\frac{13}{8} + \frac{5}{16} + (- \frac{1}{4}) = \frac{13}{8} + \frac{5}{16} - \frac{1}{4} = \frac{26 + 5 - 4}{16} = \frac{27}{16}$

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Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
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(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
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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 :

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

Evaluate (i) ${(\frac{1}{3})^{- 1} - (\frac{1}{4})^{- 1}}^{- 1}$ (ii) $(\frac{5}{8})^{- 7} \times (\frac{8}{5})^{- 4}$

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evaluate: -13/8 + 5/16 + -1/4

138 + 516 + -14=138 + 516 -14=26 + 5 - 416=2716

$\frac{13}{8} + \frac{5}{16} + (- \frac{1}{4}) = \frac{13}{8} + \frac{5}{16} - \frac{1}{4} = \frac{26 + 5 - 4}{16} = \frac{27}{16}$