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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 925 · 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 (−5/6) − 3/5? (a) −43/30 (b) −8/11 (c) −7/30 (d) 43/30
  2. 2.Which is bigger: −4/7 or −1/9? (a) −4/7 (b) −1/9
  3. 3.Write −15/24 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −15/24 (d) −8/5
  4. 4.What is 8/9 − (−7/8)? (a) −127/72 (b) 15/17 (c) 1/72 (d) 127/72
  5. 5.Is 5/3 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −1/4 or −6/7? (a) −1/4 (b) −6/7
  7. 7.What is (−1/9) − 3/7? (a) 34/63 (b) −1/4 (c) −34/63 (d) 20/63
  8. 8.What is (−5/7) + 4/5? (a) −1/12 (b) −3/35 (c) −53/35 (d) 3/35
  9. 9.What is (−7/8) − 1/6? (a) 25/24 (b) −17/24 (c) −4/7 (d) −25/24
  10. 10.What is (−1/5) + 5/8? (a) 17/40 (b) −17/40 (c) 4/13 (d) −33/40
  11. 11.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −8/18
  12. 12.Which is smaller: −1/4 or −5/7? (a) −1/4 (b) −5/7
  13. 13.Which is smaller: −2/3 or −4/7? (a) −4/7 (b) −2/3
  14. 14.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  15. 15.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −12/42 (c) −2/7 (d) 2/7
  16. 16.Which is bigger: −1/7 or −2/3? (a) −2/3 (b) −1/7
  17. 17.Is −1/8 positive or negative? (a) Positive (b) Negative
  18. 18.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  19. 19.Is −8/2 positive or negative? (a) Positive (b) Negative
  20. 20.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  21. 21.What is (−3/5) + (−1/3)? (a) −1/2 (b) −4/15 (c) 14/15 (d) −14/15
  22. 22.Which is smaller: −8/9 or −1/3? (a) −8/9 (b) −1/3
  23. 23.What is the additive inverse of −5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  24. 24.What is (−3/8) + (−5/7)? (a) −61/56 (b) 61/56 (c) 19/56 (d) −8/15
  25. 25.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −25/45
  26. 26.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  27. 27.Is 7/(−4) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−7/8) + (−1/4)? (a) 9/8 (b) −9/8 (c) −5/8 (d) −2/3
  29. 29.What is 4/9 − (−4/7)? (a) 64/63 (b) −64/63 (c) 1/2 (d) −8/63
  30. 30.What is (−3/5) + 3/4? (a) 0 (b) −27/20 (c) 3/20 (d) −3/20
  31. 31.What is 7/8 − (−3/8)? (a) 5/8 (b) 1/2 (c) 5/4 (d) −5/4
  32. 32.What is (−4/5) + 4/5? (a) 0 (b) −8/5
  33. 33.What is (−1/5) + (−2/5)? (a) 3/5 (b) 1/5 (c) −3/10 (d) −3/5
  34. 34.Write −2/18 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −2/18
  35. 35.What is (−3/8) − 1/8? (a) −1/2 (b) 1/2 (c) −1/4
  36. 36.Which is smaller: −2/9 or −7/9? (a) −7/9 (b) −2/9
  37. 37.What is the additive inverse of −2/3? (a) 2/3 (b) −2/3 (c) −3/2 (d) 3/2
  38. 38.What is 3/7 − (−3/7)? (a) 3/7 (b) 0 (c) −6/7 (d) 6/7
  39. 39.What is 1/3 − (−6/7)? (a) 25/21 (b) −25/21 (c) −11/21 (d) 7/10
  40. 40.Which is bigger: −7/9 or 4/5? (a) −7/9 (b) 4/5

Answer key

  1. −43/30
  2. −1/9
  3. −5/8
  4. 127/72
  5. Positive
  6. −6/7
  7. −34/63
  8. 3/35
  9. −25/24
  10. 17/40
  11. −4/9
  12. −5/7
  13. −2/3
  14. 7/6
  15. −2/7
  16. −1/7
  17. Negative
  18. Positive
  19. Negative
  20. 9/4
  21. −14/15
  22. −8/9
  23. 5/7
  24. −61/56
  25. −5/9
  26. −4
  27. Negative
  28. −9/8
  29. 64/63
  30. 3/20
  31. 5/4
  32. 0
  33. −3/5
  34. −1/9
  35. −1/2
  36. −7/9
  37. 2/3
  38. 6/7
  39. 25/21
  40. 4/5

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