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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 785 · 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 −5/30 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −5/30 (c) −1/6 (d) −6/1
  2. 2.Which is smaller: −1/6 or 3/5? (a) −1/6 (b) 3/5
  3. 3.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) −5/9 (d) 5/9
  4. 4.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −16/18 (d) 8/9
  5. 5.What is the additive inverse of −1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  6. 6.Which is smaller: −1/4 or −7/9? (a) −1/4 (b) −7/9
  7. 7.Is −9/(−7) positive or negative? (a) Negative (b) Positive
  8. 8.What is the additive inverse of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  9. 9.Which is bigger: −5/8 or −4/5? (a) −5/8 (b) −4/5
  10. 10.Is −8/7 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−7/9) − 2/7? (a) −67/63 (b) −9/16 (c) −31/63 (d) 67/63
  12. 12.What is (−5/7) − (−4/5)? (a) −3/35 (b) −53/35 (c) −1/12 (d) 3/35
  13. 13.Which is bigger: −1/6 or 1/5? (a) −1/6 (b) 1/5
  14. 14.What is (−1/3) − 7/8? (a) −8/11 (b) 13/24 (c) −29/24 (d) 29/24
  15. 15.Which is smaller: −1/7 or −4/5? (a) −1/7 (b) −4/5
  16. 16.What is 1/7 + (−8/9)? (a) 47/63 (b) −47/63 (c) 65/63 (d) −7/16
  17. 17.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −4/32 (d) −1/8
  18. 18.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) 5/9 (c) −5/9 (d) −9/5
  19. 19.What is (−4/7) + (−5/7)? (a) 9/7 (b) 1/7 (c) −9/14 (d) −9/7
  20. 20.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −10/18 (d) −5/9
  21. 21.What is the additive inverse of 3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  22. 22.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −2/14 (c) 1/7 (d) −1/7
  23. 23.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  24. 24.What is the additive inverse of −5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  25. 25.What is (−3/5) + (−1/8)? (a) −4/13 (b) −19/40 (c) 29/40 (d) −29/40
  26. 26.What is 1/5 − (−5/9)? (a) 3/7 (b) −16/45 (c) 34/45 (d) −34/45
  27. 27.Which is smaller: −1/5 or 4/5? (a) 4/5 (b) −1/5
  28. 28.Which is bigger: −3/5 or −1/4? (a) −1/4 (b) −3/5
  29. 29.Is 4/3 positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −4/9 or 1/3? (a) −4/9 (b) 1/3
  31. 31.Which is bigger: −1/9 or 2/3? (a) −1/9 (b) 2/3
  32. 32.What is 2/3 + (−7/9)? (a) 1/9 (b) −1/9 (c) 13/9 (d) −5/12
  33. 33.What is 2/9 − (−4/9)? (a) 1/3 (b) −2/3 (c) 2/3 (d) −2/9
  34. 34.What is (−8/9) − 4/9? (a) 4/3 (b) −2/3 (c) −4/3 (d) −4/9
  35. 35.What is (−3/5) + (−5/6)? (a) 7/30 (b) 43/30 (c) −43/30 (d) −8/11
  36. 36.Is −3/4 positive or negative? (a) Negative (b) Positive
  37. 37.What is 5/8 + (−5/7)? (a) 0 (b) −5/56 (c) 5/56 (d) 75/56
  38. 38.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −14/18
  39. 39.What is (−3/7) − 2/3? (a) −23/21 (b) −1/2 (c) 23/21 (d) 5/21
  40. 40.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −2/16 (d) −8/1

Answer key

  1. −1/6
  2. −1/6
  3. −5/9
  4. −8/9
  5. 1/6
  6. −7/9
  7. Positive
  8. 1/7
  9. −5/8
  10. Negative
  11. −67/63
  12. 3/35
  13. 1/5
  14. −29/24
  15. −4/5
  16. −47/63
  17. −1/8
  18. −5/9
  19. −9/7
  20. −5/9
  21. −3/4
  22. −1/7
  23. 7/2
  24. 5/7
  25. −29/40
  26. 34/45
  27. −1/5
  28. −1/4
  29. Positive
  30. −4/9
  31. 2/3
  32. −1/9
  33. 2/3
  34. −4/3
  35. −43/30
  36. Negative
  37. −5/56
  38. −7/9
  39. −23/21
  40. −1/8

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