simplify using suitable re - arrangement
a) 13/5 * 7/26 * 5/16 * - 4/5

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Solution

$Consider the following expression . \frac{13}{5} \times \frac{7}{26} \times \frac{5}{16} - \frac{4}{5} Rearrange the terms in the above expression as, = (\frac{13}{5} \times \frac{5}{16}) \times \frac{7}{26} - \frac{4}{5} = (\frac{13}{1} \times \frac{1}{16}) \times \frac{7}{26} - \frac{4}{5} = \frac{13}{16} \times \frac{7}{26_{2}} - \frac{4}{5} = \frac{1 \times 7}{16 \times 2} - \frac{4}{5} = \frac{7}{32} - \frac{4}{5} Take least common denominator and simplify further . = \frac{7}{32} - \frac{4}{5} = \frac{7 \times 5 - 4 \times 32}{32 \times 5} = \frac{35 - 128}{160} = - \frac{93}{160}$

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Similar questions

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

Calculate after suitable re-arrangement

16 x 8 x 625 x 125 x 7

\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{9}{7} + \frac{- 5}{16}

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