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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 717 · 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 (−5/9) + 5/7? (a) 0 (b) −10/63 (c) −80/63 (d) 10/63
  2. 2.What is (−5/6) + (−3/5)? (a) −43/30 (b) −7/30 (c) −8/11 (d) 43/30
  3. 3.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  4. 4.Which is smaller: −1/2 or 2/7? (a) −1/2 (b) 2/7
  5. 5.What is 1/3 − (−3/8)? (a) −17/24 (b) 4/11 (c) −1/24 (d) 17/24
  6. 6.What is (−4/5) + 1/8? (a) 27/40 (b) −3/13 (c) −37/40 (d) −27/40
  7. 7.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  8. 8.What is 6/7 − (−1/3)? (a) 11/21 (b) −25/21 (c) 7/10 (d) 25/21
  9. 9.Which is smaller: −4/9 or 7/8? (a) −4/9 (b) 7/8
  10. 10.What is (−3/8) + 1/5? (a) −7/40 (b) 7/40 (c) −2/13 (d) −23/40
  11. 11.Is −5/8 positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  13. 13.Is −2/3 positive or negative? (a) Negative (b) Positive
  14. 14.What is 1/5 − (−5/6)? (a) 6/11 (b) −19/30 (c) −31/30 (d) 31/30
  15. 15.Is −7/8 positive or negative? (a) Negative (b) Positive
  16. 16.What is (−2/7) + (−5/7)? (a) −1/2 (b) 1 (c) −1 (d) 3/7
  17. 17.Which is bigger: −3/7 or −5/7? (a) −3/7 (b) −5/7
  18. 18.What is (−7/8) + (−2/5)? (a) −19/40 (b) 51/40 (c) −9/13 (d) −51/40
  19. 19.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −21/24
  20. 20.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  21. 21.What is the additive inverse of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  22. 22.Write −5/20 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −5/20 (d) −1/4
  23. 23.What is 5/9 + (−4/9)? (a) 1 (b) 1/18 (c) −1/9 (d) 1/9
  24. 24.Which is bigger: −1/3 or 2/9? (a) −1/3 (b) 2/9
  25. 25.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  26. 26.Is −5/2 positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −4/7 or −6/7? (a) −6/7 (b) −4/7
  28. 28.What is 3/8 + (−8/9)? (a) 37/72 (b) 91/72 (c) −5/17 (d) −37/72
  29. 29.Which is bigger: −1/4 or 1/3? (a) 1/3 (b) −1/4
  30. 30.What is (−3/5) + 1/4? (a) −17/20 (b) 7/20 (c) −7/20 (d) −2/9
  31. 31.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  32. 32.What is (−1/9) − (−3/7)? (a) −20/63 (b) 20/63 (c) −34/63 (d) 1/8
  33. 33.Which is smaller: −5/6 or −3/4? (a) −3/4 (b) −5/6
  34. 34.Which is bigger: −1/7 or −1/2? (a) −1/7 (b) −1/2
  35. 35.What is 5/8 − (−1/8)? (a) −3/4 (b) 3/4 (c) 1/2 (d) 3/8
  36. 36.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  37. 37.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  38. 38.What is the additive inverse of −1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  39. 39.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −1/4 or −1/6? (a) −1/4 (b) −1/6

Answer key

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

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