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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 97 · 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.Which is bigger: −5/8 or 6/7? (a) −5/8 (b) 6/7
  2. 2.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  3. 3.What is (−5/6) − (−4/7)? (a) 11/42 (b) −59/42 (c) −11/42 (d) −1/13
  4. 4.Which is bigger: −2/9 or 1/3? (a) 1/3 (b) −2/9
  5. 5.Which is bigger: −1/6 or −6/7? (a) −6/7 (b) −1/6
  6. 6.Write −18/48 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −18/48 (c) 3/8 (d) −3/8
  7. 7.Which is bigger: −3/8 or 1/4? (a) 1/4 (b) −3/8
  8. 8.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  9. 9.What is 7/9 − (−2/7)? (a) 67/63 (b) 9/16 (c) 31/63 (d) −67/63
  10. 10.What is (−5/7) − 7/9? (a) 94/63 (b) −3/4 (c) −94/63 (d) 4/63
  11. 11.What is 3/4 + (−6/7)? (a) 3/28 (b) −3/11 (c) 45/28 (d) −3/28
  12. 12.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  13. 13.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  14. 14.What is 1/3 + (−3/7)? (a) −2/21 (b) 2/21 (c) 16/21 (d) −1/5
  15. 15.Which is smaller: −5/7 or −7/9? (a) −5/7 (b) −7/9
  16. 16.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  17. 17.What is 3/8 + (−4/7)? (a) 11/56 (b) 53/56 (c) −1/15 (d) −11/56
  18. 18.What is (−1/3) + (−4/5)? (a) −17/15 (b) 17/15 (c) −5/8 (d) 7/15
  19. 19.What is 2/7 − (−2/5)? (a) −24/35 (b) 1/3 (c) 24/35 (d) −4/35
  20. 20.What is the additive inverse of −5/7? (a) −5/7 (b) −7/5 (c) 7/5 (d) 5/7
  21. 21.What is (−1/2) + (−1/7)? (a) 9/14 (b) −9/14 (c) −5/14 (d) −2/9
  22. 22.What is (−7/9) − (−5/8)? (a) −101/72 (b) 11/72 (c) −11/72 (d) −2/17
  23. 23.Which is bigger: −1/9 or −2/9? (a) −1/9 (b) −2/9
  24. 24.Which is smaller: −2/5 or 5/9? (a) 5/9 (b) −2/5
  25. 25.Which is smaller: −2/5 or −3/5? (a) −2/5 (b) −3/5
  26. 26.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.What is (−1/2) + 4/5? (a) 3/7 (b) 3/10 (c) −3/10 (d) −13/10
  28. 28.What is (−5/8) + 5/8? (a) −5/4 (b) 0
  29. 29.What is (−5/9) + (−2/5)? (a) −7/45 (b) −1/2 (c) −43/45 (d) 43/45
  30. 30.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  31. 31.What is 1/2 + (−2/5)? (a) 1/10 (b) 9/10 (c) −1/10 (d) −1/7
  32. 32.What is (−4/7) + (−1/5)? (a) −27/35 (b) −5/12 (c) −13/35 (d) 27/35
  33. 33.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  34. 34.What is 3/5 − (−4/7)? (a) 7/12 (b) 1/35 (c) −41/35 (d) 41/35
  35. 35.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  36. 36.Write −5/30 in standard form (lowest terms, positive denominator). (a) −5/30 (b) 1/6 (c) −6/1 (d) −1/6
  37. 37.What is (−2/9) + (−3/5)? (a) 17/45 (b) −5/14 (c) 37/45 (d) −37/45
  38. 38.What is 3/4 + (−7/8)? (a) 1/8 (b) −1/3 (c) 13/8 (d) −1/8
  39. 39.Which is bigger: −1/2 or 7/9? (a) 7/9 (b) −1/2
  40. 40.What is the reciprocal (multiplicative inverse) of −4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9

Answer key

  1. 6/7
  2. 1/6
  3. −11/42
  4. 1/3
  5. −1/6
  6. −3/8
  7. 1/4
  8. −3/2
  9. 67/63
  10. −94/63
  11. −3/28
  12. −4
  13. Positive
  14. −2/21
  15. −7/9
  16. −1/9
  17. −11/56
  18. −17/15
  19. 24/35
  20. 5/7
  21. −9/14
  22. −11/72
  23. −1/9
  24. −2/5
  25. −3/5
  26. Negative
  27. 3/10
  28. 0
  29. −43/45
  30. Negative
  31. 1/10
  32. −27/35
  33. −5
  34. 41/35
  35. 8/5
  36. −1/6
  37. −37/45
  38. −1/8
  39. 7/9
  40. −9/4

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