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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 80 · 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 3/5 + (−3/4)? (a) 27/20 (b) 3/20 (c) 0 (d) −3/20
  2. 2.What is (−5/9) − 7/8? (a) 103/72 (b) 23/72 (c) −12/17 (d) −103/72
  3. 3.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−5/8) + 1/3? (a) 7/24 (b) −4/11 (c) −7/24 (d) −23/24
  5. 5.What is the additive inverse of −5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  6. 6.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) −7/9 (c) −9/7 (d) 7/9
  7. 7.What is (−8/9) − (−5/6)? (a) 1/18 (b) −1/18 (c) −1/5 (d) −31/18
  8. 8.Write −15/25 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −15/25
  9. 9.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  10. 10.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  11. 11.What is 7/8 + (−3/5)? (a) 11/40 (b) 4/13 (c) 59/40 (d) −11/40
  12. 12.Which is bigger: −3/5 or 4/5? (a) 4/5 (b) −3/5
  13. 13.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  14. 14.What is 2/5 + (−5/8)? (a) 9/40 (b) −3/13 (c) −9/40 (d) 41/40
  15. 15.What is (−4/9) + (−1/3)? (a) −7/9 (b) 7/9 (c) −1/9 (d) −5/12
  16. 16.What is (−1/3) + (−1/2)? (a) 5/6 (b) −2/5 (c) −5/6 (d) 1/6
  17. 17.What is (−1/5) + 3/8? (a) −7/40 (b) −23/40 (c) 2/13 (d) 7/40
  18. 18.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  19. 19.What is (−7/9) − 2/9? (a) −1/2 (b) −5/9 (c) −1 (d) 1
  20. 20.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −6/5 (d) −5/6
  22. 22.Which is smaller: −4/9 or −2/3? (a) −2/3 (b) −4/9
  23. 23.What is (−1/7) − 7/9? (a) 58/63 (b) −1/2 (c) −58/63 (d) 40/63
  24. 24.What is (−1/7) − 1/5? (a) 2/35 (b) −12/35 (c) −1/6 (d) 12/35
  25. 25.What is (−3/5) + 1/9? (a) 22/45 (b) −22/45 (c) −32/45 (d) −1/7
  26. 26.What is (−2/5) − (−1/7)? (a) 9/35 (b) −1/12 (c) −19/35 (d) −9/35
  27. 27.What is 1/9 − (−1/7)? (a) −16/63 (b) −2/63 (c) 16/63 (d) 1/8
  28. 28.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.Is −2/8 positive or negative? (a) Negative (b) Positive
  30. 30.Is −1/2 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−2/5) − (−1/5)? (a) 1/5 (b) −1/10 (c) −1/5 (d) −3/5
  32. 32.Is 7/3 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−7/9) − 7/9? (a) −14/9 (b) 14/9 (c) −7/9 (d) 0
  34. 34.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −5/40 (b) 1/8 (c) −1/8 (d) −8/1
  35. 35.What is (−3/8) + 4/9? (a) 5/72 (b) −5/72 (c) 1/17 (d) −59/72
  36. 36.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −3/27
  37. 37.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  38. 38.What is the additive inverse of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  39. 39.Which is bigger: −2/5 or −3/4? (a) −2/5 (b) −3/4
  40. 40.What is (−2/7) + (−6/7)? (a) −8/7 (b) 8/7 (c) 4/7 (d) −4/7

Answer key

  1. −3/20
  2. −103/72
  3. Negative
  4. −7/24
  5. 5/9
  6. −7/9
  7. −1/18
  8. −3/5
  9. Negative
  10. 7/4
  11. 11/40
  12. 4/5
  13. 5/4
  14. −9/40
  15. −7/9
  16. −5/6
  17. 7/40
  18. −7/4
  19. −1
  20. Positive
  21. −5/6
  22. −2/3
  23. −58/63
  24. −12/35
  25. −22/45
  26. −9/35
  27. 16/63
  28. Positive
  29. Negative
  30. Negative
  31. −1/5
  32. Positive
  33. −14/9
  34. −1/8
  35. 5/72
  36. −1/9
  37. −7/6
  38. 7/9
  39. −2/5
  40. −8/7

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