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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 546 · 40 sums
TalentJR

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).

NameDateTime takenScore ___ / 40
  1. 1.What is 2/3 + (−5/6)? (a) 3/2 (b) 1/6 (c) −1/3 (d) −1/6
  2. 2.What is 5/6 − (−3/5)? (a) 7/30 (b) 8/11 (c) 43/30 (d) −43/30
  3. 3.What is (−2/7) − (−3/5)? (a) 11/35 (b) −11/35 (c) −31/35 (d) 1/12
  4. 4.What is (−2/5) + 2/5? (a) −4/5 (b) 0
  5. 5.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −3/15 (d) −1/5
  6. 6.What is 5/8 − (−2/7)? (a) −51/56 (b) 7/15 (c) 19/56 (d) 51/56
  7. 7.What is (−3/7) + 1/3? (a) −2/21 (b) −1/5 (c) −16/21 (d) 2/21
  8. 8.Which is bigger: −1/2 or 3/8? (a) 3/8 (b) −1/2
  9. 9.Which is smaller: −1/7 or −7/8? (a) −1/7 (b) −7/8
  10. 10.What is (−7/8) + 2/3? (a) −5/11 (b) −5/24 (c) 5/24 (d) −37/24
  11. 11.What is (−5/7) − (−5/8)? (a) −75/56 (b) 5/56 (c) −5/56 (d) 0
  12. 12.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  13. 13.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  14. 14.What is 2/9 − (−3/8)? (a) 5/17 (b) −43/72 (c) −11/72 (d) 43/72
  15. 15.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  16. 16.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  17. 17.What is (−4/7) + 2/9? (a) −1/8 (b) −50/63 (c) −22/63 (d) 22/63
  18. 18.What is 3/5 − (−8/9)? (a) 67/45 (b) −13/45 (c) −67/45 (d) 11/14
  19. 19.What is the additive inverse of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  20. 20.What is (−1/8) + 3/8? (a) 1/8 (b) −1/2 (c) 1/4 (d) −1/4
  21. 21.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −35/45
  22. 22.What is 2/5 + (−3/8)? (a) −1/13 (b) −1/40 (c) 1/40 (d) 31/40
  23. 23.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −9/1 (d) −1/9
  24. 24.Which is bigger: −7/8 or −1/6? (a) −1/6 (b) −7/8
  25. 25.What is the additive inverse of 7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  26. 26.What is (−1/4) − 2/7? (a) −3/11 (b) −15/28 (c) 15/28 (d) 1/28
  27. 27.What is (−3/7) + (−1/9)? (a) −1/4 (b) −20/63 (c) −34/63 (d) 34/63
  28. 28.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 1/9 (d) 9
  29. 29.What is the additive inverse of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  30. 30.What is the additive inverse of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  31. 31.What is (−6/7) + 5/9? (a) 19/63 (b) −19/63 (c) −1/16 (d) −89/63
  32. 32.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  33. 33.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  34. 34.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) 1/4 (d) −4
  35. 35.Which is smaller: −2/9 or −7/9? (a) −2/9 (b) −7/9
  36. 36.Which is smaller: −1/2 or 8/9? (a) 8/9 (b) −1/2
  37. 37.Is 8/6 positive or negative? (a) Positive (b) Negative
  38. 38.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  39. 39.What is (−7/8) + 1/8? (a) −1 (b) 3/4 (c) −3/8 (d) −3/4
  40. 40.What is the additive inverse of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2

Answer key

  1. −1/6
  2. 43/30
  3. 11/35
  4. 0
  5. −1/5
  6. 51/56
  7. −2/21
  8. 3/8
  9. −7/8
  10. −5/24
  11. −5/56
  12. −7/5
  13. 3/4
  14. 43/72
  15. 2/3
  16. 2
  17. −22/63
  18. 67/45
  19. −3/7
  20. 1/4
  21. −7/9
  22. 1/40
  23. −1/9
  24. −1/6
  25. −7/9
  26. −15/28
  27. −34/63
  28. 9
  29. 3/5
  30. −8/9
  31. −19/63
  32. 7/8
  33. −7
  34. −4
  35. −7/9
  36. −1/2
  37. Positive
  38. 7/5
  39. −3/4
  40. 2/5

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