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प्रश्न
Simplify:
\[\left( \frac{3}{11} \times \frac{5}{6} \right) - \left( \frac{9}{12} \times \frac{4}{3} \right) + \left( \frac{5}{13} \times \frac{6}{15} \right)\]
बेरीज
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उत्तर
\[(\frac{3}{11} \times \frac{5}{6}) - (\frac{9}{12} \times \frac{4}{3}) + (\frac{5}{13} \times \frac{6}{15})\]
\[ = \frac{5}{22} - 1 + \frac{2}{13}\]
\[ = \frac{5 \times 13 - 286 + 2 \times 22}{286}\]
\[ = \frac{65 - 286 + 44}{286}\]
\[ = \frac{- 177}{286}\]
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संबंधित प्रश्न
Simplify:
\[\frac{8}{9} + \frac{- 11}{6}\]
Simplify:
\[\frac{- 8}{19} + \frac{- 4}{57}\]
Add and express the sum as a mixed fraction:
\[\frac{- 31}{6} \text{and} \frac{- 27}{8}\]
Evaluate each of the following:
\[\frac{- 6}{13} - \frac{- 7}{13}\]
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
\[\frac{- 8}{3} + \frac{- 1}{4} + \frac{- 11}{6} + \frac{3}{8} - 3\]
Simplify:
\[\left( \frac{3}{2} \times \frac{1}{6} \right) + \left( \frac{5}{3} \times \frac{7}{2} \right) - \left( \frac{13}{8} \times \frac{4}{3} \right)\]
Find two rational numbers between \[\frac{- 2}{9} \text{and} \frac{5}{9} .\]
Mark the following pairs of rational numbers on the separate number lines: `5/6` and `(- 2)/3`
Every natural number is a rational number but every rational number need not be a natural number.
Put the (✓), wherever applicable
| Number | Natural Number |
Whole Number |
Integer | Fraction | Rational Number |
| (a) – 114 | |||||
| (b) `19/27` | |||||
| (c) `623/1` | |||||
| (d) `-19 3/4` | |||||
| (e) `73/71` | |||||
| (f) 0 |
