Simplification of Rational Numbers
Simplification of Rational Numbers
Simplification of Rationla Numbers: simplification of rational numbers involves using various properties to simplify the rational number.
Example: Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
(i) 2/5 + 7/3 + - 4/5 + (-1/3)
Solution: Firstly group the rational numbers with same denominators: 2/5 + -4/5 + 7/3 + (-1/3)
Now the denominators which are same can be added directly.
(2+(-4))/5 + (7+(-1))/3 = (2-4)/5 + (7-1)/3 = -2/5 + 6/3
By taking LCM for 5 and 3 we get, 15
Example: Re-arrange suitably and find the sum in each of the following: 11/12 + ( -17/3) + 11/2 + (- 25/2)
Solution: Firstly group the rational numbers with same denominators: 11/12 + (- 17/3) + (11 - 25)/2 = 11/12 + (- 17/3) + (-14/2)
By taking LCM for 12, 3 and 2 we get, 12
What is the reciprocal of | |||
| Right Option : D | |||
| View Explanation | |||
If a=7, then the value of | |||
| Right Option : C | |||
| View Explanation | |||
By what rational number should | |||
| Right Option : B | |||
| View Explanation | |||
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