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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 639 · 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 −20/24 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −20/24 (d) −6/5
  2. 2.Which is bigger: −5/6 or −7/8? (a) −5/6 (b) −7/8
  3. 3.What is 1/2 + (−1/3)? (a) 5/6 (b) −1/6 (c) 0 (d) 1/6
  4. 4.Which is bigger: −7/8 or −2/3? (a) −2/3 (b) −7/8
  5. 5.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  6. 6.Which is bigger: −4/5 or −3/5? (a) −4/5 (b) −3/5
  7. 7.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) 7/3 (c) −7/3 (d) −3/7
  8. 8.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  9. 9.What is the additive inverse of 1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  10. 10.What is 6/7 − (−2/3)? (a) 4/21 (b) 4/5 (c) −32/21 (d) 32/21
  11. 11.What is (−5/6) + (−2/3)? (a) 3/2 (b) −7/9 (c) −3/2 (d) −1/6
  12. 12.What is (−2/5) + 4/9? (a) −38/45 (b) −2/45 (c) 1/7 (d) 2/45
  13. 13.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −25/35 (d) 5/7
  14. 14.Is −3/(−9) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−7/8) + 8/9? (a) −127/72 (b) −1/72 (c) 1/72 (d) 1/17
  16. 16.What is the additive inverse of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  17. 17.Which is smaller: −2/5 or −1/5? (a) −2/5 (b) −1/5
  18. 18.What is (−1/2) − (−1/9)? (a) −7/18 (b) 0 (c) 7/18 (d) −11/18
  19. 19.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  20. 20.What is (−1/7) − (−7/8)? (a) 2/5 (b) −41/56 (c) 41/56 (d) −57/56
  21. 21.What is (−8/9) + (−7/8)? (a) −1/72 (b) −15/17 (c) 127/72 (d) −127/72
  22. 22.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/1 (d) −4/16
  23. 23.Which is bigger: −3/7 or 5/9? (a) 5/9 (b) −3/7
  24. 24.What is the additive inverse of 5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  25. 25.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  26. 26.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −21/27 (b) −9/7 (c) 7/9 (d) −7/9
  27. 27.Which is smaller: −4/7 or 2/3? (a) 2/3 (b) −4/7
  28. 28.What is 2/9 − (−1/5)? (a) 1/45 (b) 3/14 (c) −19/45 (d) 19/45
  29. 29.Which is bigger: −1/6 or −3/4? (a) −3/4 (b) −1/6
  30. 30.Which is smaller: −4/5 or −1/4? (a) −4/5 (b) −1/4
  31. 31.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  32. 32.What is the additive inverse of −4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  33. 33.What is 1/9 + (−3/8)? (a) 35/72 (b) 19/72 (c) −2/17 (d) −19/72
  34. 34.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  35. 35.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  36. 36.Is 5/6 positive or negative? (a) Negative (b) Positive
  37. 37.What is (−4/5) + 1/8? (a) −37/40 (b) −3/13 (c) 27/40 (d) −27/40
  38. 38.Which is bigger: −1/9 or 1/2? (a) 1/2 (b) −1/9
  39. 39.Is −8/6 positive or negative? (a) Negative (b) Positive
  40. 40.Is 9/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. −5/6
  2. −5/6
  3. 1/6
  4. −2/3
  5. −9/4
  6. −3/5
  7. −7/3
  8. 1/5
  9. −1/6
  10. 32/21
  11. −3/2
  12. 2/45
  13. −5/7
  14. Positive
  15. 1/72
  16. −2/9
  17. −2/5
  18. −7/18
  19. Positive
  20. 41/56
  21. −127/72
  22. −1/4
  23. 5/9
  24. −5/9
  25. Positive
  26. −7/9
  27. −4/7
  28. 19/45
  29. −1/6
  30. −4/5
  31. −7
  32. 4/5
  33. −19/72
  34. 4/9
  35. 3
  36. Positive
  37. −27/40
  38. 1/2
  39. Negative
  40. Positive

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