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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 435 · 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 (−5/6) + 1/6? (a) 2/3 (b) −1/3 (c) −2/3 (d) −1
  2. 2.What is (−3/4) + (−3/7)? (a) 33/28 (b) −33/28 (c) −6/11 (d) −9/28
  3. 3.What is 1/9 − (−2/3)? (a) −5/9 (b) 1/4 (c) −7/9 (d) 7/9
  4. 4.What is (−5/7) + (−7/9)? (a) −94/63 (b) 94/63 (c) 4/63 (d) −3/4
  5. 5.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  6. 6.Write −18/30 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −18/30 (d) −3/5
  7. 7.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −10/12
  8. 8.What is (−1/6) − 5/6? (a) 1 (b) −1 (c) −1/2 (d) 2/3
  9. 9.What is (−1/2) − 1/5? (a) −2/7 (b) −7/10 (c) −3/10 (d) 7/10
  10. 10.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  11. 11.What is the additive inverse of −1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  12. 12.What is (−1/7) + 1/9? (a) 0 (b) −2/63 (c) −16/63 (d) 2/63
  13. 13.What is (−1/9) + (−1/8)? (a) −2/17 (b) 1/72 (c) −17/72 (d) 17/72
  14. 14.What is (−5/7) + (−2/5)? (a) 39/35 (b) −39/35 (c) −11/35 (d) −7/12
  15. 15.Which is smaller: −5/7 or −4/7? (a) −5/7 (b) −4/7
  16. 16.What is (−3/8) − 2/7? (a) 37/56 (b) −37/56 (c) −5/56 (d) −1/3
  17. 17.What is (−1/4) − (−4/5)? (a) −11/20 (b) −21/20 (c) 1/3 (d) 11/20
  18. 18.What is (−6/7) − 6/7? (a) −6/7 (b) −12/7 (c) 12/7 (d) 0
  19. 19.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−3/7) − 1/8? (a) 31/56 (b) −31/56 (c) −17/56 (d) −4/15
  21. 21.Which is bigger: −3/4 or −4/9? (a) −3/4 (b) −4/9
  22. 22.What is (−6/7) − 5/8? (a) −83/56 (b) −11/15 (c) −13/56 (d) 83/56
  23. 23.Which is smaller: −3/5 or −2/5? (a) −2/5 (b) −3/5
  24. 24.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  25. 25.Is −7/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.What is 3/5 + (−1/2)? (a) 1/10 (b) 2/7 (c) −1/10 (d) 11/10
  27. 27.What is (−1/3) − (−2/3)? (a) −1/3 (b) −1 (c) 1/6 (d) 1/3
  28. 28.Is 2/9 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of 3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  30. 30.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −5/4 (c) −4/5 (d) 5/4
  31. 31.What is (−2/7) + 8/9? (a) −74/63 (b) −38/63 (c) 3/8 (d) 38/63
  32. 32.What is 4/5 + (−1/7)? (a) −23/35 (b) 33/35 (c) 1/4 (d) 23/35
  33. 33.Which is smaller: −2/5 or −8/9? (a) −2/5 (b) −8/9
  34. 34.Which is bigger: −1/5 or −5/6? (a) −1/5 (b) −5/6
  35. 35.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  36. 36.What is 7/9 + (−5/8)? (a) −11/72 (b) 2/17 (c) 101/72 (d) 11/72
  37. 37.Write −6/42 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −6/42
  38. 38.Is −8/7 positive or negative? (a) Positive (b) Negative
  39. 39.Is 4/4 positive or negative? (a) Negative (b) Positive
  40. 40.What is 7/8 − (−2/3)? (a) 37/24 (b) −37/24 (c) 9/11 (d) 5/24

Answer key

  1. −2/3
  2. −33/28
  3. 7/9
  4. −94/63
  5. −9/7
  6. −3/5
  7. −5/6
  8. −1
  9. −7/10
  10. 7/2
  11. 1/8
  12. −2/63
  13. −17/72
  14. −39/35
  15. −5/7
  16. −37/56
  17. 11/20
  18. −12/7
  19. Positive
  20. −31/56
  21. −4/9
  22. −83/56
  23. −3/5
  24. −8
  25. Positive
  26. 1/10
  27. 1/3
  28. Positive
  29. −3/8
  30. −5/4
  31. 38/63
  32. 23/35
  33. −8/9
  34. −1/5
  35. 1/9
  36. 11/72
  37. −1/7
  38. Negative
  39. Positive
  40. 37/24

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