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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 172 · 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.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  2. 2.What is (−2/5) − 1/4? (a) −13/20 (b) 13/20 (c) −1/3 (d) −3/20
  3. 3.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  4. 4.Is −1/2 positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −5/9 or −3/5? (a) −5/9 (b) −3/5
  6. 6.Write −12/32 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −12/32 (c) 3/8 (d) −3/8
  7. 7.What is (−1/9) + 1/4? (a) −5/36 (b) 0 (c) −13/36 (d) 5/36
  8. 8.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  9. 9.What is 4/5 − (−1/7)? (a) −33/35 (b) 33/35 (c) 5/12 (d) 23/35
  10. 10.Which is bigger: −1/7 or −2/9? (a) −1/7 (b) −2/9
  11. 11.Which is smaller: −3/5 or 1/4? (a) −3/5 (b) 1/4
  12. 12.What is (−5/9) + (−1/2)? (a) −6/11 (b) 19/18 (c) −19/18 (d) −1/18
  13. 13.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −1/5 (c) −5 (d) 5
  14. 14.What is 5/6 + (−2/5)? (a) 3/11 (b) 13/30 (c) −13/30 (d) 37/30
  15. 15.What is the additive inverse of 7/8? (a) −8/7 (b) 8/7 (c) −7/8 (d) 7/8
  16. 16.Which is smaller: −2/7 or −4/9? (a) −2/7 (b) −4/9
  17. 17.Which is smaller: −3/8 or −6/7? (a) −6/7 (b) −3/8
  18. 18.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) −3/8 (c) 3/8 (d) −8/3
  19. 19.Which is smaller: −2/5 or 1/6? (a) −2/5 (b) 1/6
  20. 20.What is the additive inverse of 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  21. 21.Write −15/18 in standard form (lowest terms, positive denominator). (a) −15/18 (b) −5/6 (c) 5/6 (d) −6/5
  22. 22.What is (−7/9) − 3/4? (a) 55/36 (b) −1/36 (c) −10/13 (d) −55/36
  23. 23.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  24. 24.What is the additive inverse of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  25. 25.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−6/7) − (−2/3)? (a) −4/21 (b) −2/5 (c) −32/21 (d) 4/21
  27. 27.Is −1/4 positive or negative? (a) Positive (b) Negative
  28. 28.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.Which is smaller: −7/8 or −3/7? (a) −3/7 (b) −7/8
  30. 30.What is 4/9 + (−5/6)? (a) 7/18 (b) 23/18 (c) −1/15 (d) −7/18
  31. 31.What is (−2/9) + (−3/7)? (a) 13/63 (b) −41/63 (c) 41/63 (d) −5/16
  32. 32.What is (−3/4) − 8/9? (a) 5/36 (b) 59/36 (c) −11/13 (d) −59/36
  33. 33.Is −4/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−4/9) − (−5/6)? (a) −23/18 (b) −7/18 (c) 1/15 (d) 7/18
  35. 35.What is (−7/9) − 2/9? (a) 1 (b) −1 (c) −5/9 (d) −1/2
  36. 36.What is (−2/9) − (−1/4)? (a) −1/13 (b) 1/36 (c) −17/36 (d) −1/36
  37. 37.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  38. 38.What is (−2/5) − (−1/8)? (a) −11/40 (b) −1/13 (c) −21/40 (d) 11/40
  39. 39.What is 7/9 − (−3/5)? (a) 8/45 (b) 5/7 (c) 62/45 (d) −62/45
  40. 40.Write −32/36 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −32/36 (d) 8/9

Answer key

  1. −5/7
  2. −13/20
  3. −7/3
  4. Negative
  5. −5/9
  6. −3/8
  7. 5/36
  8. −1/5
  9. 33/35
  10. −1/7
  11. −3/5
  12. −19/18
  13. −5
  14. 13/30
  15. −7/8
  16. −4/9
  17. −6/7
  18. −3/8
  19. −2/5
  20. −1/8
  21. −5/6
  22. −55/36
  23. 3/2
  24. −3/7
  25. Negative
  26. −4/21
  27. Negative
  28. Negative
  29. −7/8
  30. −7/18
  31. −41/63
  32. −59/36
  33. Negative
  34. 7/18
  35. −1
  36. 1/36
  37. −5/7
  38. −11/40
  39. 62/45
  40. −8/9

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