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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 578 · 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 (−7/9) + 2/7? (a) −31/63 (b) −5/16 (c) −67/63 (d) 31/63
  2. 2.What is 4/7 − (−1/3)? (a) 5/21 (b) 19/21 (c) −19/21 (d) 1/2
  3. 3.What is 3/4 + (−2/3)? (a) 1/12 (b) 1/7 (c) 17/12 (d) −1/12
  4. 4.What is (−1/4) + (−3/8)? (a) −1/3 (b) 5/8 (c) −5/8 (d) 1/8
  5. 5.What is (−1/6) + 3/4? (a) −7/12 (b) 7/12 (c) 1/5 (d) −11/12
  6. 6.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  7. 7.Is −7/(−3) positive or negative? (a) Positive (b) Negative
  8. 8.Is 1/9 positive or negative? (a) Negative (b) Positive
  9. 9.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −1/9 or −6/7? (a) −1/9 (b) −6/7
  11. 11.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  12. 12.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −4/7 or −5/9? (a) −5/9 (b) −4/7
  14. 14.Which is bigger: −2/5 or −3/4? (a) −2/5 (b) −3/4
  15. 15.What is 1/8 − (−5/9)? (a) 6/17 (b) −31/72 (c) −49/72 (d) 49/72
  16. 16.What is (−2/7) − (−1/5)? (a) −1/12 (b) 3/35 (c) −3/35 (d) −17/35
  17. 17.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −6/24
  18. 18.What is 1/8 − (−1/7)? (a) −1/56 (b) 15/56 (c) −15/56 (d) 2/15
  19. 19.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  20. 20.What is (−5/9) − 5/6? (a) 25/18 (b) −2/3 (c) −25/18 (d) 5/18
  21. 21.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  22. 22.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  23. 23.What is (−3/5) − (−3/7)? (a) 6/35 (b) 0 (c) −36/35 (d) −6/35
  24. 24.Which is smaller: −2/5 or 1/8? (a) 1/8 (b) −2/5
  25. 25.What is 1/3 + (−3/7)? (a) 2/21 (b) −2/21 (c) −1/5 (d) 16/21
  26. 26.What is (−5/9) + 5/6? (a) −5/18 (b) 5/18 (c) −25/18 (d) 0
  27. 27.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  28. 28.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) −5/6 (c) −6/5 (d) 5/6
  29. 29.What is the additive inverse of 1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  30. 30.What is (−3/7) + 1/3? (a) 2/21 (b) −2/21 (c) −16/21 (d) −1/5
  31. 31.What is 4/5 + (−3/5)? (a) −1/5 (b) 7/5 (c) 1/10 (d) 1/5
  32. 32.What is 1/6 + (−1/6)? (a) 1/3 (b) 0
  33. 33.Which is smaller: −3/5 or −1/8? (a) −1/8 (b) −3/5
  34. 34.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −21/27 (b) 7/9 (c) −7/9 (d) −9/7
  35. 35.Which is smaller: −2/5 or 2/3? (a) 2/3 (b) −2/5
  36. 36.What is 3/8 − (−2/3)? (a) −7/24 (b) 25/24 (c) 5/11 (d) −25/24
  37. 37.What is the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  38. 38.Which is bigger: −1/4 or 1/5? (a) −1/4 (b) 1/5
  39. 39.Which is bigger: −5/7 or −3/5? (a) −5/7 (b) −3/5
  40. 40.What is the additive inverse of −4/5? (a) −4/5 (b) −5/4 (c) 5/4 (d) 4/5

Answer key

  1. −31/63
  2. 19/21
  3. 1/12
  4. −5/8
  5. 7/12
  6. −7/8
  7. Positive
  8. Positive
  9. Negative
  10. −1/9
  11. 9
  12. Positive
  13. −4/7
  14. −2/5
  15. 49/72
  16. −3/35
  17. −1/4
  18. 15/56
  19. −3/4
  20. −25/18
  21. 8/7
  22. 7/5
  23. −6/35
  24. −2/5
  25. −2/21
  26. 5/18
  27. −7/8
  28. −5/6
  29. −1/6
  30. −2/21
  31. 1/5
  32. 0
  33. −3/5
  34. −7/9
  35. −2/5
  36. 25/24
  37. 3/4
  38. 1/5
  39. −3/5
  40. 4/5

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