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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 289 · 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.Is −6/2 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−7/8) − (−7/9)? (a) 0 (b) −119/72 (c) −7/72 (d) 7/72
  3. 3.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −8/14 (d) −7/4
  4. 4.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  5. 5.Which is smaller: −5/8 or 2/7? (a) 2/7 (b) −5/8
  6. 6.What is (−2/9) + 4/5? (a) 1/7 (b) −26/45 (c) −46/45 (d) 26/45
  7. 7.What is 8/9 + (−1/8)? (a) 7/17 (b) 73/72 (c) 55/72 (d) −55/72
  8. 8.What is 4/9 + (−3/4)? (a) 11/36 (b) 43/36 (c) 1/13 (d) −11/36
  9. 9.Which is bigger: −4/5 or −2/9? (a) −4/5 (b) −2/9
  10. 10.Which is bigger: −1/7 or −3/5? (a) −3/5 (b) −1/7
  11. 11.Which is smaller: −2/3 or −6/7? (a) −6/7 (b) −2/3
  12. 12.What is (−7/8) − 2/3? (a) 37/24 (b) −5/24 (c) −9/11 (d) −37/24
  13. 13.What is (−5/9) + 5/6? (a) −5/18 (b) −25/18 (c) 0 (d) 5/18
  14. 14.What is 1/7 + (−2/9)? (a) 23/63 (b) 5/63 (c) −5/63 (d) −1/16
  15. 15.Write −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) −1/8 (c) −8/1 (d) 1/8
  16. 16.What is 3/4 − (−1/8)? (a) 7/8 (b) −7/8 (c) 1/3 (d) 5/8
  17. 17.Write −21/27 in standard form (lowest terms, positive denominator). (a) −21/27 (b) −9/7 (c) −7/9 (d) 7/9
  18. 18.Is 2/4 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−5/6) − (−1/5)? (a) −31/30 (b) −19/30 (c) −4/11 (d) 19/30
  20. 20.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) 2/3 (d) −2/3
  21. 21.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/25 (d) −5/1
  22. 22.What is 3/7 − (−5/9)? (a) −62/63 (b) −8/63 (c) 62/63 (d) 1/2
  23. 23.What is the additive inverse of −1/8? (a) 8 (b) −1/8 (c) −8 (d) 1/8
  24. 24.Write −5/30 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −5/30
  25. 25.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/3) − (−6/7)? (a) −11/21 (b) 11/21 (c) 1/2 (d) −25/21
  27. 27.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −7/9 or −7/8? (a) −7/9 (b) −7/8
  29. 29.Is 2/3 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−1/4) + 3/5? (a) 2/9 (b) −17/20 (c) 7/20 (d) −7/20
  31. 31.What is (−1/4) − 7/9? (a) 37/36 (b) 19/36 (c) −37/36 (d) −8/13
  32. 32.What is 3/5 + (−4/7)? (a) 41/35 (b) −1/12 (c) 1/35 (d) −1/35
  33. 33.What is 6/7 + (−1/7)? (a) 5/7 (b) −5/7 (c) 5/14 (d) 1
  34. 34.Which is bigger: −6/7 or −1/2? (a) −6/7 (b) −1/2
  35. 35.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/2) − 7/9? (a) −8/11 (b) 23/18 (c) 5/18 (d) −23/18
  37. 37.Which is bigger: −4/5 or −7/8? (a) −7/8 (b) −4/5
  38. 38.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  39. 39.What is (−2/9) + (−2/7)? (a) 4/63 (b) 32/63 (c) −32/63 (d) −1/4
  40. 40.Write −4/6 in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) 2/3 (d) −3/2

Answer key

  1. Negative
  2. −7/72
  3. −4/7
  4. 1/5
  5. −5/8
  6. 26/45
  7. 55/72
  8. −11/36
  9. −2/9
  10. −1/7
  11. −6/7
  12. −37/24
  13. 5/18
  14. −5/63
  15. −1/8
  16. 7/8
  17. −7/9
  18. Positive
  19. −19/30
  20. −2/3
  21. −1/5
  22. 62/63
  23. 1/8
  24. −1/6
  25. Positive
  26. 11/21
  27. Negative
  28. −7/9
  29. Positive
  30. 7/20
  31. −37/36
  32. 1/35
  33. 5/7
  34. −1/2
  35. Positive
  36. −23/18
  37. −4/5
  38. 9/8
  39. −32/63
  40. −2/3

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