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Question
Simplify:
\[\frac{- 3}{2} + \frac{5}{4} - \frac{7}{4}\]
Sum
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Solution
\[\frac{- 3}{2} + \frac{5}{4} - \frac{7}{4}\]
\[\text{Taking the L . C . M .} \hspace{0.167em} \text{of the denominators:} \]
\[\frac{- 6}{4} + \frac{5}{4} - \frac{7}{4}\]
\[ = \frac{- 6 + 5 - 7}{4}\]
\[ = \frac{- 8}{4}\]
\[ = - 2\]
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RELATED QUESTIONS
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
\[\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}\]
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
\[\frac{- 7}{4} + 0 + \frac{- 9}{5} + \frac{19}{10} + \frac{11}{14}\]
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\[\frac{5}{7} \text{by} \frac{- 3}{4}\]
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 9}{16} \times \frac{- 64}{- 27}\]
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\[\left( \frac{3}{2} \times \frac{1}{6} \right) + \left( \frac{5}{3} \times \frac{7}{2} \right) - \left( \frac{13}{8} \times \frac{4}{3} \right)\]
For every rational number x, x + 1 = x.
Every integer is a rational number.
If `p/q` is a rational number, then q cannot be ______.
Express `3/4` as a rational number with denominator:
36
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 |
