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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 111 · 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: −1/9 or −4/9? (a) −4/9 (b) −1/9
  2. 2.What is (−5/7) + 7/8? (a) −89/56 (b) −9/56 (c) 2/15 (d) 9/56
  3. 3.What is (−5/9) + (−1/7)? (a) 44/63 (b) −3/8 (c) −26/63 (d) −44/63
  4. 4.Which is smaller: −6/7 or −7/9? (a) −7/9 (b) −6/7
  5. 5.Which is bigger: −3/8 or 2/5? (a) −3/8 (b) 2/5
  6. 6.Which is bigger: −3/5 or −2/5? (a) −2/5 (b) −3/5
  7. 7.What is 3/4 + (−3/7)? (a) 33/28 (b) −9/28 (c) 0 (d) 9/28
  8. 8.Write −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) −4/5 (c) −5/4 (d) 4/5
  9. 9.What is 1/4 − (−3/5)? (a) −7/20 (b) 4/9 (c) −17/20 (d) 17/20
  10. 10.Write −14/16 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −14/16
  11. 11.Is 6/3 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−7/9) − (−1/4)? (a) 19/36 (b) −6/13 (c) −19/36 (d) −37/36
  13. 13.What is (−5/6) − 4/5? (a) −1/30 (b) −9/11 (c) 49/30 (d) −49/30
  14. 14.Which is bigger: −5/9 or −1/5? (a) −1/5 (b) −5/9
  15. 15.What is 3/4 − (−1/9)? (a) 23/36 (b) −31/36 (c) 31/36 (d) 4/13
  16. 16.What is 5/9 − (−2/7)? (a) −53/63 (b) 17/63 (c) 53/63 (d) 7/16
  17. 17.Is 7/(−5) positive or negative? (a) Negative (b) Positive
  18. 18.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  19. 19.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −8/14 (c) −4/7 (d) −7/4
  20. 20.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −30/35
  21. 21.Which is bigger: −4/7 or −1/7? (a) −1/7 (b) −4/7
  22. 22.What is (−5/6) + 5/8? (a) 5/24 (b) −35/24 (c) 0 (d) −5/24
  23. 23.What is (−1/7) + 2/3? (a) −17/21 (b) 1/10 (c) −11/21 (d) 11/21
  24. 24.What is 5/8 − (−2/3)? (a) −31/24 (b) 7/11 (c) −1/24 (d) 31/24
  25. 25.What is (−3/8) + 3/4? (a) −3/8 (b) 0 (c) 3/8 (d) −9/8
  26. 26.What is (−1/2) + 1/7? (a) 0 (b) −9/14 (c) −5/14 (d) 5/14
  27. 27.Which is bigger: −8/9 or 1/2? (a) 1/2 (b) −8/9
  28. 28.What is 5/9 + (−1/4)? (a) 4/13 (b) 11/36 (c) −11/36 (d) 29/36
  29. 29.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −15/21 (d) −7/5
  30. 30.What is (−3/5) − 4/5? (a) 1/5 (b) −7/10 (c) −7/5 (d) 7/5
  31. 31.What is (−3/5) + (−1/9)? (a) 32/45 (b) −22/45 (c) −2/7 (d) −32/45
  32. 32.Which is bigger: −6/7 or 2/3? (a) 2/3 (b) −6/7
  33. 33.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −3/15 (b) 1/5 (c) −5/1 (d) −1/5
  34. 34.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  35. 35.Write −8/20 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −8/20
  36. 36.What is (−5/8) − (−2/7)? (a) −19/56 (b) −51/56 (c) −1/5 (d) 19/56
  37. 37.Which is bigger: −3/7 or 2/5? (a) −3/7 (b) 2/5
  38. 38.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  39. 39.What is 1/3 + (−5/7)? (a) 22/21 (b) 8/21 (c) −8/21 (d) −2/5
  40. 40.Is −6/(−4) positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/9
  2. 9/56
  3. −44/63
  4. −6/7
  5. 2/5
  6. −2/5
  7. 9/28
  8. −4/5
  9. 17/20
  10. −7/8
  11. Positive
  12. −19/36
  13. −49/30
  14. −1/5
  15. 31/36
  16. 53/63
  17. Negative
  18. Negative
  19. −4/7
  20. −6/7
  21. −1/7
  22. −5/24
  23. 11/21
  24. 31/24
  25. 3/8
  26. −5/14
  27. 1/2
  28. 11/36
  29. −5/7
  30. −7/5
  31. −32/45
  32. 2/3
  33. −1/5
  34. Negative
  35. −2/5
  36. −19/56
  37. 2/5
  38. Negative
  39. −8/21
  40. Positive

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