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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 471 · 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 the additive inverse of −6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  2. 2.Which is smaller: −5/9 or −3/4? (a) −5/9 (b) −3/4
  3. 3.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −16/20 (c) −4/5 (d) −5/4
  4. 4.What is (−6/7) − (−2/7)? (a) −8/7 (b) 4/7 (c) −2/7 (d) −4/7
  5. 5.What is (−5/7) − (−7/9)? (a) 1/8 (b) −94/63 (c) 4/63 (d) −4/63
  6. 6.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  7. 7.What is (−4/9) + 1/5? (a) −29/45 (b) −11/45 (c) 11/45 (d) −3/14
  8. 8.Write −20/24 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −20/24 (d) −6/5
  9. 9.What is (−2/3) + 1/9? (a) −5/9 (b) −1/12 (c) 5/9 (d) −7/9
  10. 10.Is −1/3 positive or negative? (a) Positive (b) Negative
  11. 11.Which is smaller: −2/5 or −4/5? (a) −2/5 (b) −4/5
  12. 12.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  13. 13.What is (−1/3) − 8/9? (a) −11/9 (b) 5/9 (c) 11/9 (d) −3/4
  14. 14.What is (−2/7) − 1/8? (a) 23/56 (b) −23/56 (c) −1/5 (d) −9/56
  15. 15.Which is bigger: −5/7 or 5/8? (a) 5/8 (b) −5/7
  16. 16.What is (−5/7) − (−5/9)? (a) 0 (b) 10/63 (c) −80/63 (d) −10/63
  17. 17.Which is bigger: −3/4 or −4/5? (a) −3/4 (b) −4/5
  18. 18.What is 6/7 − (−3/4)? (a) 45/28 (b) 9/11 (c) −45/28 (d) 3/28
  19. 19.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  20. 20.What is the additive inverse of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  21. 21.What is (−2/9) + 3/7? (a) −41/63 (b) 13/63 (c) −13/63 (d) 1/16
  22. 22.Which is bigger: −8/9 or 5/8? (a) 5/8 (b) −8/9
  23. 23.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  24. 24.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  25. 25.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  26. 26.What is 1/6 − (−1/3)? (a) 2/9 (b) 1/2 (c) −1/2 (d) −1/6
  27. 27.What is (−4/5) − 7/9? (a) −1/45 (b) −11/14 (c) −71/45 (d) 71/45
  28. 28.What is 3/4 + (−5/6)? (a) 19/12 (b) −1/12 (c) −1/5 (d) 1/12
  29. 29.Which is smaller: −3/4 or −7/9? (a) −7/9 (b) −3/4
  30. 30.Write −25/45 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −25/45 (d) −5/9
  31. 31.Which is bigger: −1/8 or 3/7? (a) −1/8 (b) 3/7
  32. 32.What is (−2/5) − (−7/8)? (a) −19/40 (b) −51/40 (c) 19/40 (d) 5/13
  33. 33.Which is smaller: −5/8 or 3/5? (a) −5/8 (b) 3/5
  34. 34.What is 4/5 − (−1/8)? (a) −37/40 (b) 5/13 (c) 37/40 (d) 27/40
  35. 35.Which is bigger: −2/5 or 4/5? (a) 4/5 (b) −2/5
  36. 36.Which is smaller: −1/2 or −5/9? (a) −1/2 (b) −5/9
  37. 37.What is 8/9 + (−4/7)? (a) 92/63 (b) 1/4 (c) 20/63 (d) −20/63
  38. 38.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−1/5) + (−3/7)? (a) 22/35 (b) 8/35 (c) −22/35 (d) −1/3
  40. 40.What is (−1/2) − 1/7? (a) −5/14 (b) 9/14 (c) −9/14 (d) −2/9

Answer key

  1. 6/7
  2. −3/4
  3. −4/5
  4. −4/7
  5. 4/63
  6. 2
  7. −11/45
  8. −5/6
  9. −5/9
  10. Negative
  11. −4/5
  12. 3/2
  13. −11/9
  14. −23/56
  15. 5/8
  16. −10/63
  17. −3/4
  18. 45/28
  19. 5/8
  20. 5/9
  21. 13/63
  22. 5/8
  23. Positive
  24. −2/7
  25. 9/5
  26. 1/2
  27. −71/45
  28. −1/12
  29. −7/9
  30. −5/9
  31. 3/7
  32. 19/40
  33. −5/8
  34. 37/40
  35. 4/5
  36. −5/9
  37. 20/63
  38. Positive
  39. −22/35
  40. −9/14

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