Page 17 - SM inner class 7.cdr

(i) Every positive rational number or a Step III. Next, compare the numerous such
fraction is greater than 0. that the greater number has the greater
(ii) Every negative rational number or a nu mer a tor.
3 9 7
fraction is less than 0. For ex am ple : Com pare , ,
3 -3 2 4 8
For ex am ple : > 0 and < 0
5 5 To convert into common denominator
General method of comparing two rational 3 4 12 9 ´ 2 18
´ = ; =
numbers or fractions as : 2 4 8 4 ´ 2 8
Step I. Rewrite all the given fractions such 7 1 7
that their de nom i na tors are pos i tive. 8 ´ 1 = 8
Step II. Express the given rational numbers So we can compare these fraction as :
with a com mon de nom i na tor. 9 3 7
> >
4 2 8

E xercise 2.1

1. Write the frac tion rep re sent ing the shaded por tion.

1 1 1 1
(a) (b) (c) (d)
4 3 2 5
11 13
2. ..........
24 24
(a) > (b) < (c) = (d) none of these
9 9
3. .........
24 19
(a) = (b) > (c) < (d) none of these
3
4. Ex press as im proper frac tion 6
5
30 30 5 33
(a) (b) (c) (d)
3 5 33 5
27
5. Ex press as mixed frac tion
5
2 2 1 1
(a) 5 (b) 3 (c) 5 (d) 3
5 5 5 5
Fill in the blanks
2 4
6. + =..............
5 5
7. The frac tions, where the nu mer a tor is ......... than the de nom i na tor are called im proper frac tions.
2 2
8. 3 + 4 =........
3 3
9. Each proper or im proper frac tion has many ………… frac tions.
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Mathematics In Focus - 7