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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 210 · 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 6/7 − (−5/6)? (a) 11/13 (b) 71/42 (c) −71/42 (d) 1/42
  2. 2.Which is smaller: −6/7 or 3/5? (a) −6/7 (b) 3/5
  3. 3.What is 3/5 + (−3/8)? (a) 9/40 (b) −9/40 (c) 39/40 (d) 0
  4. 4.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  5. 5.Write −6/48 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −1/8 (d) −6/48
  6. 6.What is 5/7 + (−5/8)? (a) 75/56 (b) 0 (c) 5/56 (d) −5/56
  7. 7.Write −12/21 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −12/21 (c) −7/4 (d) 4/7
  8. 8.What is 1/9 + (−5/9)? (a) −4/9 (b) 4/9 (c) −2/9 (d) 2/3
  9. 9.What is (−6/7) + 5/6? (a) −71/42 (b) −1/42 (c) −1/13 (d) 1/42
  10. 10.What is the additive inverse of 5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  11. 11.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  12. 12.What is (−4/9) + 1/7? (a) −37/63 (b) 19/63 (c) −19/63 (d) −3/16
  13. 13.Write −30/54 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −30/54 (c) −9/5 (d) 5/9
  14. 14.What is (−3/5) − (−5/9)? (a) 1/7 (b) −2/45 (c) 2/45 (d) −52/45
  15. 15.What is (−1/9) − (−3/5)? (a) 22/45 (b) 1/7 (c) −22/45 (d) −32/45
  16. 16.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−4/9) + (−4/5)? (a) −56/45 (b) 56/45 (c) 16/45 (d) −4/7
  18. 18.Which is bigger: −2/3 or −5/9? (a) −2/3 (b) −5/9
  19. 19.What is (−5/8) + (−1/9)? (a) −53/72 (b) −6/17 (c) −37/72 (d) 53/72
  20. 20.What is (−6/7) − (−3/4)? (a) −3/28 (b) 3/28 (c) −3/11 (d) −45/28
  21. 21.What is (−1/4) + 1/8? (a) 0 (b) −3/8 (c) −1/8 (d) 1/8
  22. 22.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  23. 23.What is (−3/7) + 5/9? (a) −8/63 (b) −62/63 (c) 8/63 (d) 1/8
  24. 24.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  25. 25.What is (−2/3) − (−8/9)? (a) 1/2 (b) −2/9 (c) −14/9 (d) 2/9
  26. 26.Which is bigger: −1/4 or 4/9? (a) 4/9 (b) −1/4
  27. 27.Is −6/9 positive or negative? (a) Negative (b) Positive
  28. 28.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) −7/4 (c) 4/7 (d) −4/7
  29. 29.Is 8/5 positive or negative? (a) Negative (b) Positive
  30. 30.Is 1/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−8/9) + (−1/8)? (a) 73/72 (b) −55/72 (c) −9/17 (d) −73/72
  32. 32.What is (−2/7) − 3/7? (a) 5/7 (b) −5/14 (c) 1/7 (d) −5/7
  33. 33.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  34. 34.What is (−1/6) − (−1/9)? (a) −1/18 (b) 0 (c) −5/18 (d) 1/18
  35. 35.Which is smaller: −7/8 or −5/6? (a) −7/8 (b) −5/6
  36. 36.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  37. 37.What is (−5/6) − 3/5? (a) 43/30 (b) −8/11 (c) −43/30 (d) −7/30
  38. 38.What is 5/9 − (−1/8)? (a) 31/72 (b) 6/17 (c) −49/72 (d) 49/72
  39. 39.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −4/32 (d) −1/8
  40. 40.What is (−5/9) + 1/5? (a) 16/45 (b) −16/45 (c) −2/7 (d) −34/45

Answer key

  1. 71/42
  2. −6/7
  3. 9/40
  4. Negative
  5. −1/8
  6. 5/56
  7. −4/7
  8. −4/9
  9. −1/42
  10. −5/6
  11. −8/3
  12. −19/63
  13. −5/9
  14. −2/45
  15. 22/45
  16. Negative
  17. −56/45
  18. −5/9
  19. −53/72
  20. −3/28
  21. −1/8
  22. −8/7
  23. 8/63
  24. −2
  25. 2/9
  26. 4/9
  27. Negative
  28. −4/7
  29. Positive
  30. Positive
  31. −73/72
  32. −5/7
  33. −3/2
  34. −1/18
  35. −7/8
  36. −5/2
  37. −43/30
  38. 49/72
  39. −1/8
  40. −16/45

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