Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 658 · 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.What is (−1/7) − (−2/5)? (a) 9/35 (b) −9/35 (c) −19/35 (d) 1/12
2. 2.Which is smaller: −1/2 or −5/7? (a) −5/7 (b) −1/2
3. 3.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) 3/7 (c) −3/7 (d) −7/3
4. 4.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −10/15 (d) −2/3
5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
6. 6.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
7. 7.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −12/27 (d) −9/4
8. 8.Which is bigger: −3/8 or −8/9? (a) −3/8 (b) −8/9
9. 9.Which is smaller: −1/8 or −5/7? (a) −1/8 (b) −5/7
10. 10.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) −6/5 (c) −5/6 (d) 5/6
11. 11.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
12. 12.Is −4/5 positive or negative? (a) Positive (b) Negative
13. 13.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
14. 14.What is the additive inverse of 3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
15. 15.Is 7/8 positive or negative? (a) Positive (b) Negative
16. 16.Which is bigger: −3/4 or −2/7? (a) −3/4 (b) −2/7
17. 17.What is (−2/3) − 2/5? (a) 16/15 (b) −1/2 (c) −16/15 (d) −4/15
18. 18.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −10/12
19. 19.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −6/42 (b) 1/7 (c) −1/7 (d) −7/1
20. 20.Is 6/(−7) positive or negative? (a) Positive (b) Negative
21. 21.What is (−4/9) + (−5/8)? (a) −9/17 (b) −77/72 (c) 77/72 (d) 13/72
22. 22.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) 2/3 (d) −2/3
23. 23.Is 1/(−2) positive or negative? (a) Negative (b) Positive
24. 24.Write −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −15/20
25. 25.Is −1/(−7) positive or negative? (a) Negative (b) Positive
26. 26.Is −2/9 positive or negative? (a) Positive (b) Negative
27. 27.What is the additive inverse of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
28. 28.Which is smaller: −1/5 or 1/7? (a) 1/7 (b) −1/5
29. 29.Is −2/6 positive or negative? (a) Positive (b) Negative
30. 30.Is −8/(−3) positive or negative? (a) Negative (b) Positive
31. 31.What is (−6/7) − (−5/6)? (a) −1/13 (b) −1/42 (c) −71/42 (d) 1/42
32. 32.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −15/21 (d) 5/7
33. 33.Is 1/(−6) positive or negative? (a) Negative (b) Positive
34. 34.Is 8/4 positive or negative? (a) Negative (b) Positive
35. 35.What is (−3/7) − (−5/9)? (a) 1/8 (b) 8/63 (c) −8/63 (d) −62/63
36. 36.What is (−4/5) + 4/5? (a) 0 (b) −8/5
37. 37.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
38. 38.Which is smaller: −3/5 or 1/5? (a) 1/5 (b) −3/5
39. 39.Which is smaller: −5/7 or −1/5? (a) −5/7 (b) −1/5
40. 40.Write −4/24 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −4/24 (d) −1/6

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