SIMPLIFY USING PROPERTIES OF RATIONAL NUMBERS.NAME THE PROPERTY USED
(1) 3/11-3/16-3/1113/16, (2) 2/5-3/7-1/14-3/73/5, ( 3) -2/33/5+5/2-1/63/5

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Solution

$1 . \frac{3}{11} \times \frac{- 3}{16} - \frac{3}{11} \times \frac{13}{16} = - \frac{9}{176} - \frac{39}{176} = \frac{- 48}{176} = \frac{- 3}{11} 2 . \frac{2}{5} \times \frac{- 3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} = - \frac{6}{35} - \frac{1}{14} - \frac{9}{35} = \frac{- 12 - 5 - 18}{70} = \frac{- 35}{70} = \frac{- 1}{2} 3 . \frac{- 2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{1}{6} \times \frac{3}{5} = \frac{- 2}{5} + \frac{5}{2} - \frac{1}{10} = \frac{- 4 + 25 - 1}{10} = \frac{20}{10} = 2$

In all the parts basic BODMAS rule is followed.

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Similar questions

Using appropriate properties, find:

i) $- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

\frac{2}{5} \times (\begin{matrix} - \frac{3}{7} \end{matrix}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}

Using appropriate properties find:

(i) $- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

(ii) $\frac{2}{5} \times [- \frac{3}{7}] - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}$

\frac{2}{5} \times \frac{- 3}{7} - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}

\frac{2}{5} \times (- \frac{3}{7}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}

Question: 1)Using appropriate properties find
1),-2/3*3/5+5/2-3/5*1/6
2)2/5*[-3/7 ]- 1/6*3/2+1/14*2/5

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