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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 427 · 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 (−6/7) + (−1/4)? (a) −17/28 (b) 31/28 (c) −31/28 (d) −7/11
  2. 2.Which is bigger: −6/7 or −3/5? (a) −3/5 (b) −6/7
  3. 3.What is (−5/7) − (−2/7)? (a) −1 (b) −3/7 (c) 3/7 (d) −3/14
  4. 4.What is (−1/3) + (−5/7)? (a) 8/21 (b) 22/21 (c) −22/21 (d) −3/5
  5. 5.Write −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) −5/4 (c) 4/5 (d) −4/5
  6. 6.Which is bigger: −6/7 or −4/7? (a) −6/7 (b) −4/7
  7. 7.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) 7/9 (d) −28/36
  8. 8.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) 1/2 (d) −1/2
  9. 9.What is (−4/5) + 4/7? (a) −48/35 (b) 0 (c) −8/35 (d) 8/35
  10. 10.What is (−1/9) + 1/8? (a) −17/72 (b) 1/72 (c) 0 (d) −1/72
  11. 11.Which is bigger: −2/7 or −1/8? (a) −2/7 (b) −1/8
  12. 12.What is (−5/7) − 8/9? (a) 11/63 (b) −13/16 (c) −101/63 (d) 101/63
  13. 13.What is the additive inverse of 1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  14. 14.Which is smaller: −2/3 or −7/9? (a) −2/3 (b) −7/9
  15. 15.Write −48/54 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −48/54 (d) −8/9
  16. 16.What is (−2/9) + (−1/5)? (a) 19/45 (b) −3/14 (c) −19/45 (d) −1/45
  17. 17.Which is smaller: −3/5 or 5/8? (a) −3/5 (b) 5/8
  18. 18.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −5/40 (c) 1/8 (d) −1/8
  19. 19.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  20. 20.Which is bigger: −1/7 or −2/9? (a) −2/9 (b) −1/7
  21. 21.Is 9/7 positive or negative? (a) Negative (b) Positive
  22. 22.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  23. 23.Write −8/36 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −8/36 (c) 2/9 (d) −9/2
  24. 24.Which is smaller: −5/7 or −7/8? (a) −7/8 (b) −5/7
  25. 25.Which is smaller: −1/2 or −1/4? (a) −1/4 (b) −1/2
  26. 26.What is (−6/7) − 2/9? (a) −40/63 (b) −68/63 (c) 68/63 (d) −1/2
  27. 27.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −2/18 (c) −9/1 (d) 1/9
  28. 28.Is −1/4 positive or negative? (a) Negative (b) Positive
  29. 29.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −3/24
  30. 30.What is (−6/7) + 5/6? (a) −1/42 (b) −71/42 (c) −1/13 (d) 1/42
  31. 31.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  32. 32.Which is bigger: −3/7 or 2/9? (a) 2/9 (b) −3/7
  33. 33.What is (−1/2) − (−1/6)? (a) −1/3 (b) 1/3 (c) −2/3 (d) 0
  34. 34.What is 1/2 − (−4/9)? (a) 17/18 (b) 5/11 (c) −17/18 (d) 1/18
  35. 35.Which is bigger: −2/5 or −6/7? (a) −6/7 (b) −2/5
  36. 36.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −5/30 (b) −1/6 (c) −6/1 (d) 1/6
  37. 37.What is (−4/7) + (−6/7)? (a) −10/7 (b) 10/7 (c) 2/7 (d) −5/7
  38. 38.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) −5/4 (c) −4/5 (d) 4/5
  39. 39.What is 2/3 + (−2/3)? (a) 0 (b) 4/3
  40. 40.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3

Answer key

  1. −31/28
  2. −3/5
  3. −3/7
  4. −22/21
  5. −4/5
  6. −4/7
  7. −7/9
  8. −1/2
  9. −8/35
  10. 1/72
  11. −1/8
  12. −101/63
  13. −1/7
  14. −7/9
  15. −8/9
  16. −19/45
  17. −3/5
  18. −1/8
  19. 3/5
  20. −1/7
  21. Positive
  22. Positive
  23. −2/9
  24. −7/8
  25. −1/2
  26. −68/63
  27. −1/9
  28. Negative
  29. −1/8
  30. −1/42
  31. −5/7
  32. 2/9
  33. −1/3
  34. 17/18
  35. −2/5
  36. −1/6
  37. −10/7
  38. −4/5
  39. 0
  40. −4/3

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