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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 135 · 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 1/7 + (−3/8)? (a) 13/56 (b) −13/56 (c) 29/56 (d) −2/15
  2. 2.What is 2/7 − (−5/8)? (a) −51/56 (b) 7/15 (c) 51/56 (d) −19/56
  3. 3.What is (−1/8) + 3/7? (a) 2/15 (b) 17/56 (c) −31/56 (d) −17/56
  4. 4.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  5. 5.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  6. 6.Write −6/14 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −6/14 (c) 3/7 (d) −7/3
  7. 7.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −18/30 (c) −3/5 (d) 3/5
  8. 8.What is 2/7 + (−5/7)? (a) −3/7 (b) 3/7 (c) −3/14 (d) 1
  9. 9.What is (−5/8) + (−5/8)? (a) 0 (b) 5/4 (c) −5/8 (d) −5/4
  10. 10.Which is bigger: −4/7 or 1/6? (a) 1/6 (b) −4/7
  11. 11.What is the additive inverse of −1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  12. 12.Is 9/3 positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −3/5 or −1/4? (a) −1/4 (b) −3/5
  14. 14.What is 2/3 + (−1/5)? (a) 7/15 (b) −7/15 (c) 13/15 (d) 1/8
  15. 15.What is 1/4 + (−2/9)? (a) −1/13 (b) 17/36 (c) −1/36 (d) 1/36
  16. 16.Which is bigger: −2/7 or 4/9? (a) 4/9 (b) −2/7
  17. 17.What is (−3/8) − (−3/4)? (a) −9/8 (b) 3/8 (c) 0 (d) −3/8
  18. 18.What is (−3/8) − 1/5? (a) −4/13 (b) −23/40 (c) −7/40 (d) 23/40
  19. 19.What is (−3/4) − (−3/7)? (a) 0 (b) −9/28 (c) −33/28 (d) 9/28
  20. 20.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−1/8) + (−1/5)? (a) 13/40 (b) −13/40 (c) −2/13 (d) 3/40
  22. 22.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) −1/6 (d) 1/6
  23. 23.Is −2/6 positive or negative? (a) Positive (b) Negative
  24. 24.Which is smaller: −2/7 or −1/5? (a) −2/7 (b) −1/5
  25. 25.Is 2/9 positive or negative? (a) Positive (b) Negative
  26. 26.Write −4/32 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −4/32 (c) 1/8 (d) −8/1
  27. 27.Which is smaller: −5/9 or −1/7? (a) −1/7 (b) −5/9
  28. 28.What is 4/5 + (−6/7)? (a) −2/35 (b) 2/35 (c) 58/35 (d) −1/6
  29. 29.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  30. 30.What is (−4/7) − (−7/9)? (a) 13/63 (b) −85/63 (c) −13/63 (d) 3/16
  31. 31.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−4/5) + 1/3? (a) −17/15 (b) 7/15 (c) −7/15 (d) −3/8
  33. 33.What is the additive inverse of 4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  34. 34.What is 3/5 − (−4/7)? (a) 1/35 (b) 7/12 (c) 41/35 (d) −41/35
  35. 35.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −30/42 (c) −5/7 (d) 5/7
  36. 36.What is (−1/6) − (−2/9)? (a) −7/18 (b) 1/15 (c) 1/18 (d) −1/18
  37. 37.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  38. 38.What is (−6/7) − (−2/3)? (a) −2/5 (b) −32/21 (c) 4/21 (d) −4/21
  39. 39.What is (−2/9) + (−5/6)? (a) −19/18 (b) 19/18 (c) −7/15 (d) 11/18
  40. 40.What is the additive inverse of 5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9

Answer key

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

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