Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 362 · 40 sums

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

1. 1.Write −4/16 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −4/16
2. 2.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −8/36
3. 3.Is −9/2 positive or negative? (a) Positive (b) Negative
4. 4.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) −1/2 (d) 1/2
5. 5.Which is smaller: −1/4 or −3/4? (a) −1/4 (b) −3/4
6. 6.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −15/18 (d) −5/6
7. 7.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −25/35 (d) −7/5
8. 8.Which is bigger: −5/9 or −2/5? (a) −2/5 (b) −5/9
9. 9.Write −20/36 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −20/36
10. 10.Which is bigger: −7/8 or 3/7? (a) −7/8 (b) 3/7
11. 11.What is (−5/8) − 1/2? (a) 9/8 (b) −3/5 (c) −9/8 (d) −1/8
12. 12.Is −6/(−9) positive or negative? (a) Negative (b) Positive
13. 13.What is 1/8 − (−7/8)? (a) −1 (b) 1 (c) −3/4 (d) 1/2
14. 14.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) −9/2 (c) −2/9 (d) 2/9
15. 15.Is −2/3 positive or negative? (a) Negative (b) Positive
16. 16.What is (−1/9) − (−7/9)? (a) 2/3 (b) −8/9 (c) −2/3 (d) 1/3
17. 17.What is the additive inverse of −1/2? (a) 2 (b) −1/2 (c) 1/2 (d) −2
18. 18.Is −5/4 positive or negative? (a) Positive (b) Negative
19. 19.Is 3/(−5) positive or negative? (a) Positive (b) Negative
20. 20.Is −2/4 positive or negative? (a) Positive (b) Negative
21. 21.Is 5/(−2) positive or negative? (a) Negative (b) Positive
22. 22.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
23. 23.Which is bigger: −5/9 or 7/8? (a) 7/8 (b) −5/9
24. 24.Which is smaller: −2/3 or 7/9? (a) 7/9 (b) −2/3
25. 25.Which is bigger: −4/5 or −4/9? (a) −4/5 (b) −4/9
26. 26.Is 2/4 positive or negative? (a) Negative (b) Positive
27. 27.What is the additive inverse of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
28. 28.What is the additive inverse of 1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
29. 29.Write −18/48 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −18/48 (d) −8/3
30. 30.What is the additive inverse of 5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
31. 31.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
32. 32.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −2/16 (d) −1/8
33. 33.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) 4/7 (d) −24/42
34. 34.Which is bigger: −3/8 or 5/9? (a) −3/8 (b) 5/9
35. 35.Is −3/9 positive or negative? (a) Negative (b) Positive
36. 36.What is (−3/5) + (−7/9)? (a) −62/45 (b) 62/45 (c) 8/45 (d) −5/7
37. 37.What is the additive inverse of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
38. 38.What is (−2/5) − 3/7? (a) 29/35 (b) −5/12 (c) 1/35 (d) −29/35
39. 39.What is 7/8 − (−7/8)? (a) 7/4 (b) 0 (c) 7/8 (d) −7/4
40. 40.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −24/30 (c) −5/4 (d) 4/5

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