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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 87 · 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 5/8 + (−1/2)? (a) 2/5 (b) 9/8 (c) −1/8 (d) 1/8
  2. 2.What is 8/9 + (−3/7)? (a) 5/16 (b) 83/63 (c) −29/63 (d) 29/63
  3. 3.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  4. 4.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −2/3 or −2/7? (a) −2/3 (b) −2/7
  6. 6.What is 8/9 + (−5/9)? (a) −1/3 (b) 1/3 (c) 1/6 (d) 13/9
  7. 7.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  8. 8.Is −1/2 positive or negative? (a) Positive (b) Negative
  9. 9.Is −1/9 positive or negative? (a) Positive (b) Negative
  10. 10.Write −15/27 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −5/9 (d) −9/5
  11. 11.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) −8/5 (d) 5/8
  12. 12.What is (−5/9) + 1/2? (a) −1/18 (b) 1/18 (c) −4/11 (d) −19/18
  13. 13.What is the additive inverse of −4/5? (a) −5/4 (b) 5/4 (c) −4/5 (d) 4/5
  14. 14.What is (−2/5) + 2/9? (a) 8/45 (b) −28/45 (c) 0 (d) −8/45
  15. 15.Write −32/36 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −32/36
  16. 16.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  17. 17.What is 1/9 + (−3/5)? (a) 22/45 (b) 32/45 (c) −1/7 (d) −22/45
  18. 18.Is 9/4 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−2/7) + 2/9? (a) 0 (b) −32/63 (c) −4/63 (d) 4/63
  20. 20.What is (−1/8) + (−1/6)? (a) −7/24 (b) −1/7 (c) 7/24 (d) 1/24
  21. 21.What is (−4/5) + 3/4? (a) −31/20 (b) −1/9 (c) −1/20 (d) 1/20
  22. 22.Is 8/(−6) positive or negative? (a) Negative (b) Positive
  23. 23.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  24. 24.Which is bigger: −4/5 or −4/9? (a) −4/5 (b) −4/9
  25. 25.Which is bigger: −4/5 or −1/4? (a) −1/4 (b) −4/5
  26. 26.Which is smaller: −7/8 or −3/4? (a) −7/8 (b) −3/4
  27. 27.What is (−2/7) − (−2/3)? (a) −8/21 (b) 0 (c) 8/21 (d) −20/21
  28. 28.Is −2/5 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−3/5) + (−1/8)? (a) −4/13 (b) 29/40 (c) −29/40 (d) −19/40
  30. 30.What is 2/9 + (−1/7)? (a) 1/16 (b) 5/63 (c) 23/63 (d) −5/63
  31. 31.What is (−5/9) − 3/7? (a) 62/63 (b) −62/63 (c) −1/2 (d) −8/63
  32. 32.Is 3/2 positive or negative? (a) Positive (b) Negative
  33. 33.Is −9/9 positive or negative? (a) Negative (b) Positive
  34. 34.Which is smaller: −5/9 or −4/7? (a) −4/7 (b) −5/9
  35. 35.What is (−3/5) + (−1/6)? (a) −13/30 (b) 23/30 (c) −23/30 (d) −4/11
  36. 36.Write −24/28 in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) −6/7 (d) 6/7
  37. 37.What is (−1/9) + 1/7? (a) 0 (b) −16/63 (c) 2/63 (d) −2/63
  38. 38.What is (−5/9) + (−2/5)? (a) 43/45 (b) −7/45 (c) −43/45 (d) −1/2
  39. 39.What is (−2/7) + 5/8? (a) −19/56 (b) 1/5 (c) 19/56 (d) −51/56
  40. 40.Which is smaller: −3/5 or −1/2? (a) −3/5 (b) −1/2

Answer key

  1. 1/8
  2. 29/63
  3. −7/5
  4. Negative
  5. −2/7
  6. 1/3
  7. 4
  8. Negative
  9. Negative
  10. −5/9
  11. −5/8
  12. −1/18
  13. 4/5
  14. −8/45
  15. −8/9
  16. Negative
  17. −22/45
  18. Positive
  19. −4/63
  20. −7/24
  21. −1/20
  22. Negative
  23. 9/8
  24. −4/9
  25. −1/4
  26. −7/8
  27. 8/21
  28. Negative
  29. −29/40
  30. 5/63
  31. −62/63
  32. Positive
  33. Negative
  34. −4/7
  35. −23/30
  36. −6/7
  37. 2/63
  38. −43/45
  39. 19/56
  40. −3/5

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