Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 720 · 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.Is −5/(−5) positive or negative? (a) Negative (b) Positive
2. 2.Is −8/7 positive or negative? (a) Positive (b) Negative
3. 3.What is (−5/7) + (−1/7)? (a) −3/7 (b) −4/7 (c) 6/7 (d) −6/7
4. 4.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
5. 5.Is −4/4 positive or negative? (a) Negative (b) Positive
6. 6.Which is bigger: −1/2 or 5/7? (a) −1/2 (b) 5/7
7. 7.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −4/28 (b) 1/7 (c) −1/7 (d) −7/1
8. 8.Is −1/2 positive or negative? (a) Negative (b) Positive
9. 9.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −6/15
10. 10.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
11. 11.Which is bigger: −7/8 or −8/9? (a) −8/9 (b) −7/8
12. 12.What is (−1/3) − 8/9? (a) −3/4 (b) 11/9 (c) −11/9 (d) 5/9
13. 13.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −18/24
14. 14.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 3/7 (c) −3/7 (d) 7/3
15. 15.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
16. 16.What is (−8/9) + (−1/3)? (a) −3/4 (b) −11/9 (c) 11/9 (d) −5/9
17. 17.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
18. 18.Write −4/18 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −9/2 (d) −4/18
19. 19.Is 4/(−9) positive or negative? (a) Negative (b) Positive
20. 20.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
21. 21.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) −4/3 (d) 3/4
22. 22.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
23. 23.What is (−1/5) − 1/5? (a) 2/5 (b) −2/5 (c) −1/5 (d) 0
24. 24.What is (−8/9) − 5/7? (a) −13/16 (b) −11/63 (c) −101/63 (d) 101/63
25. 25.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −6/48 (b) −1/8 (c) 1/8 (d) −8/1
26. 26.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −5/45
27. 27.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
28. 28.What is (−1/5) − 1/2? (a) −2/7 (b) 3/10 (c) −7/10 (d) 7/10
29. 29.What is 3/4 + (−3/8)? (a) 9/8 (b) −3/8 (c) 3/8 (d) 0
30. 30.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −2/1 (d) −1/2
31. 31.What is (−3/7) + 1/4? (a) 5/28 (b) −5/28 (c) −19/28 (d) −2/11
32. 32.Is 9/5 positive or negative? (a) Positive (b) Negative
33. 33.What is 2/7 + (−8/9)? (a) −3/8 (b) 74/63 (c) −38/63 (d) 38/63
34. 34.Which is smaller: −3/4 or −3/7? (a) −3/4 (b) −3/7
35. 35.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −5/3 (c) −3/5 (d) 3/5
36. 36.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −4/10 (d) −5/2
37. 37.What is (−3/5) + 4/7? (a) 1/35 (b) 1/12 (c) −1/35 (d) −41/35
38. 38.Which is bigger: −1/7 or 2/9? (a) −1/7 (b) 2/9
39. 39.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −9/5 (d) −5/9
40. 40.Which is smaller: −8/9 or −5/9? (a) −5/9 (b) −8/9

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