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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 956 · 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 −16/20 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −16/20 (c) −5/4 (d) 4/5
  2. 2.What is (−3/7) − (−1/4)? (a) 5/28 (b) −2/11 (c) −5/28 (d) −19/28
  3. 3.Is −5/8 positive or negative? (a) Negative (b) Positive
  4. 4.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  5. 5.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  6. 6.What is (−1/6) + 5/6? (a) 2/3 (b) −1 (c) −2/3 (d) 1/3
  7. 7.Which is bigger: −2/7 or 3/5? (a) 3/5 (b) −2/7
  8. 8.What is (−1/5) − (−2/9)? (a) −19/45 (b) 1/14 (c) 1/45 (d) −1/45
  9. 9.What is (−3/8) + 6/7? (a) −69/56 (b) 27/56 (c) 1/5 (d) −27/56
  10. 10.Which is bigger: −7/9 or 3/8? (a) −7/9 (b) 3/8
  11. 11.Write −12/30 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −12/30 (c) 2/5 (d) −2/5
  12. 12.What is (−8/9) + 7/8? (a) −1/72 (b) −127/72 (c) −1/17 (d) 1/72
  13. 13.What is 5/7 − (−2/7)? (a) 1 (b) −1 (c) 3/7 (d) 1/2
  14. 14.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −30/42 (c) 5/7 (d) −7/5
  15. 15.What is (−2/7) + 5/9? (a) −17/63 (b) 3/16 (c) 17/63 (d) −53/63
  16. 16.What is (−1/7) − 4/9? (a) 37/63 (b) −37/63 (c) −5/16 (d) 19/63
  17. 17.Which is smaller: −2/3 or −8/9? (a) −2/3 (b) −8/9
  18. 18.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  19. 19.What is (−2/7) − (−2/3)? (a) 8/21 (b) 0 (c) −20/21 (d) −8/21
  20. 20.What is (−3/8) + (−3/8)? (a) 3/4 (b) −3/4 (c) −3/8 (d) 0
  21. 21.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of 2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  23. 23.Which is bigger: −7/8 or −3/8? (a) −7/8 (b) −3/8
  24. 24.What is (−5/8) + 4/9? (a) 13/72 (b) −1/17 (c) −13/72 (d) −77/72
  25. 25.What is (−6/7) + 4/9? (a) −26/63 (b) −1/8 (c) 26/63 (d) −82/63
  26. 26.What is the additive inverse of −1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  27. 27.Is 2/4 positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of 6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  29. 29.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −2/8
  30. 30.What is 2/5 − (−1/8)? (a) 3/13 (b) −21/40 (c) 11/40 (d) 21/40
  31. 31.What is (−3/4) + 5/6? (a) −19/12 (b) −1/12 (c) 1/5 (d) 1/12
  32. 32.What is (−5/6) + (−5/6)? (a) 0 (b) 5/3 (c) −5/3 (d) −5/6
  33. 33.What is (−7/8) − (−3/4)? (a) −1/3 (b) 1/8 (c) −13/8 (d) −1/8
  34. 34.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −5/25
  35. 35.What is (−3/5) − 1/3? (a) 14/15 (b) −1/2 (c) −4/15 (d) −14/15
  36. 36.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −18/42
  37. 37.Is 8/9 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−2/5) + 4/7? (a) 1/6 (b) 6/35 (c) −6/35 (d) −34/35
  39. 39.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −28/36 (c) −7/9 (d) 7/9
  40. 40.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4

Answer key

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

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