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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 421 · 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) − (−2/7)? (a) −17/63 (b) 17/63 (c) −3/16 (d) −53/63
  2. 2.What is the additive inverse of 4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  3. 3.What is 1/4 + (−1/7)? (a) 11/28 (b) −3/28 (c) 3/28 (d) 0
  4. 4.What is (−5/8) − 2/7? (a) 51/56 (b) −51/56 (c) −7/15 (d) −19/56
  5. 5.Which is smaller: −1/2 or −3/8? (a) −1/2 (b) −3/8
  6. 6.Which is bigger: −3/5 or 3/7? (a) 3/7 (b) −3/5
  7. 7.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  8. 8.What is (−5/6) − (−3/4)? (a) −19/12 (b) −1/5 (c) −1/12 (d) 1/12
  9. 9.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) −2/3 (d) 3/2
  10. 10.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −8/14 (c) −4/7 (d) −7/4
  11. 11.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  12. 12.What is 2/7 + (−5/9)? (a) 53/63 (b) −17/63 (c) 17/63 (d) −3/16
  13. 13.Which is bigger: −4/5 or −1/3? (a) −4/5 (b) −1/3
  14. 14.Which is bigger: −1/6 or −3/5? (a) −1/6 (b) −3/5
  15. 15.What is 6/7 + (−7/8)? (a) −1/56 (b) 97/56 (c) 1/56 (d) −1/15
  16. 16.Which is bigger: −5/6 or −4/9? (a) −4/9 (b) −5/6
  17. 17.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −20/36 (d) 5/9
  18. 18.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  19. 19.Write −5/20 in standard form (lowest terms, positive denominator). (a) −5/20 (b) −4/1 (c) −1/4 (d) 1/4
  20. 20.What is (−3/8) − 5/9? (a) −67/72 (b) −8/17 (c) 67/72 (d) 13/72
  21. 21.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−1/5) − 4/5? (a) −1/2 (b) −1 (c) 3/5 (d) 1
  23. 23.What is (−8/9) − (−3/4)? (a) −5/36 (b) −5/13 (c) −59/36 (d) 5/36
  24. 24.Is 6/5 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/6) + 5/6? (a) −5/3 (b) 0
  26. 26.What is (−7/9) + (−1/5)? (a) −26/45 (b) −44/45 (c) −4/7 (d) 44/45
  27. 27.What is 2/3 + (−1/3)? (a) 1/6 (b) 1 (c) −1/3 (d) 1/3
  28. 28.What is (−4/5) − 5/6? (a) −9/11 (b) 1/30 (c) −49/30 (d) 49/30
  29. 29.Is 7/6 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −3/4 or 1/9? (a) −3/4 (b) 1/9
  31. 31.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  32. 32.What is (−3/7) − 1/3? (a) −2/5 (b) 16/21 (c) −16/21 (d) −2/21
  33. 33.What is the additive inverse of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  34. 34.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −12/21 (c) −4/7 (d) 4/7
  35. 35.What is 1/3 − (−2/7)? (a) 1/21 (b) 13/21 (c) 3/10 (d) −13/21
  36. 36.What is (−1/2) − (−1/2)? (a) 0 (b) −1
  37. 37.What is (−2/9) + (−3/7)? (a) 41/63 (b) −41/63 (c) 13/63 (d) −5/16
  38. 38.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  39. 39.Is −3/2 positive or negative? (a) Positive (b) Negative
  40. 40.Which is smaller: −3/7 or −2/3? (a) −2/3 (b) −3/7

Answer key

  1. −17/63
  2. −4/7
  3. 3/28
  4. −51/56
  5. −1/2
  6. 3/7
  7. Positive
  8. −1/12
  9. 3/2
  10. −4/7
  11. Negative
  12. −17/63
  13. −1/3
  14. −1/6
  15. −1/56
  16. −4/9
  17. −5/9
  18. 8/3
  19. −1/4
  20. −67/72
  21. Negative
  22. −1
  23. −5/36
  24. Positive
  25. 0
  26. −44/45
  27. 1/3
  28. −49/30
  29. Positive
  30. 1/9
  31. −2/7
  32. −16/21
  33. 1/4
  34. −4/7
  35. 13/21
  36. 0
  37. −41/63
  38. −5/2
  39. Negative
  40. −2/3

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