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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 458 · 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.Which is bigger: −4/7 or −2/5? (a) −4/7 (b) −2/5
  2. 2.What is (−5/7) + (−1/7)? (a) −6/7 (b) −4/7 (c) 6/7 (d) −3/7
  3. 3.What is (−2/3) − (−1/2)? (a) −1/5 (b) 1/6 (c) −1/6 (d) −7/6
  4. 4.What is (−2/5) + (−3/7)? (a) 1/35 (b) −29/35 (c) −5/12 (d) 29/35
  5. 5.What is (−5/6) − 8/9? (a) 31/18 (b) −13/15 (c) 1/18 (d) −31/18
  6. 6.Is 4/(−3) positive or negative? (a) Positive (b) Negative
  7. 7.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −4/24 (b) −1/6 (c) −6/1 (d) 1/6
  8. 8.What is 4/7 − (−7/8)? (a) 81/56 (b) −81/56 (c) 11/15 (d) −17/56
  9. 9.What is 1/3 + (−1/2)? (a) −1/6 (b) 1/6 (c) 5/6 (d) 0
  10. 10.What is (−5/9) − (−3/4)? (a) −2/13 (b) −7/36 (c) 7/36 (d) −47/36
  11. 11.What is (−5/6) + 3/7? (a) −2/13 (b) −17/42 (c) 17/42 (d) −53/42
  12. 12.What is (−3/7) + (−5/7)? (a) 8/7 (b) −8/7 (c) −4/7 (d) 2/7
  13. 13.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −7/5 (c) −5/7 (d) 5/7
  14. 14.Which is bigger: −8/9 or −1/3? (a) −1/3 (b) −8/9
  15. 15.What is 4/5 + (−4/7)? (a) 8/35 (b) 0 (c) −8/35 (d) 48/35
  16. 16.What is (−2/5) + 1/9? (a) −23/45 (b) 13/45 (c) −13/45 (d) −1/14
  17. 17.Which is bigger: −7/8 or −1/7? (a) −1/7 (b) −7/8
  18. 18.What is (−5/8) + (−3/8)? (a) −1 (b) −1/4 (c) −1/2 (d) 1
  19. 19.What is 4/5 − (−3/8)? (a) 47/40 (b) −47/40 (c) 17/40 (d) 7/13
  20. 20.What is (−1/2) + (−4/5)? (a) −13/10 (b) 13/10 (c) −5/7 (d) 3/10
  21. 21.What is (−7/9) − 3/7? (a) 76/63 (b) −22/63 (c) −5/8 (d) −76/63
  22. 22.What is (−1/4) + 2/3? (a) −5/12 (b) 1/7 (c) −11/12 (d) 5/12
  23. 23.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  24. 24.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −15/40 (d) −8/3
  25. 25.What is 4/5 − (−1/4)? (a) 11/20 (b) 5/9 (c) −21/20 (d) 21/20
  26. 26.Which is bigger: −6/7 or −1/4? (a) −6/7 (b) −1/4
  27. 27.Is −5/7 positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −3/8 or 1/3? (a) −3/8 (b) 1/3
  29. 29.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  30. 30.What is (−1/4) − 4/5? (a) −5/9 (b) −21/20 (c) 11/20 (d) 21/20
  31. 31.What is 2/3 − (−3/8)? (a) 7/24 (b) −25/24 (c) 5/11 (d) 25/24
  32. 32.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −7/5 (d) −5/7
  33. 33.What is 5/6 − (−2/5)? (a) −37/30 (b) 7/11 (c) 37/30 (d) 13/30
  34. 34.What is (−1/5) + 2/5? (a) −3/5 (b) 1/5 (c) 1/10 (d) −1/5
  35. 35.Which is smaller: −1/4 or 3/4? (a) −1/4 (b) 3/4
  36. 36.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −4/18 (d) 2/9
  37. 37.What is 7/9 − (−2/3)? (a) 1/9 (b) 3/4 (c) 13/9 (d) −13/9
  38. 38.What is (−2/7) − (−1/8)? (a) −23/56 (b) −1/15 (c) −9/56 (d) 9/56
  39. 39.Which is bigger: −1/6 or −8/9? (a) −8/9 (b) −1/6
  40. 40.Is −5/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. −2/5
  2. −6/7
  3. −1/6
  4. −29/35
  5. −31/18
  6. Negative
  7. −1/6
  8. 81/56
  9. −1/6
  10. 7/36
  11. −17/42
  12. −8/7
  13. −5/7
  14. −1/3
  15. 8/35
  16. −13/45
  17. −1/7
  18. −1
  19. 47/40
  20. −13/10
  21. −76/63
  22. 5/12
  23. −1/6
  24. −3/8
  25. 21/20
  26. −1/4
  27. Negative
  28. 1/3
  29. 4/5
  30. −21/20
  31. 25/24
  32. −5/7
  33. 37/30
  34. 1/5
  35. −1/4
  36. −2/9
  37. 13/9
  38. −9/56
  39. −1/6
  40. Positive

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