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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 496 · 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 (−7/8) + (−1/2)? (a) −3/8 (b) −11/8 (c) 11/8 (d) −4/5
  2. 2.What is 1/2 + (−5/6)? (a) −1/3 (b) 1/3 (c) 4/3 (d) −1/2
  3. 3.What is (−3/5) − (−2/7)? (a) −31/35 (b) −11/35 (c) −1/12 (d) 11/35
  4. 4.What is 2/3 − (−3/5)? (a) 1/15 (b) 5/8 (c) 19/15 (d) −19/15
  5. 5.Which is bigger: −6/7 or −1/4? (a) −6/7 (b) −1/4
  6. 6.What is 8/9 + (−5/9)? (a) 1/6 (b) −1/3 (c) 1/3 (d) 13/9
  7. 7.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −2/16 (c) −1/8 (d) −8/1
  8. 8.What is the additive inverse of −4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  9. 9.Which is bigger: −5/7 or −3/4? (a) −5/7 (b) −3/4
  10. 10.What is 1/8 + (−2/3)? (a) 19/24 (b) −1/11 (c) 13/24 (d) −13/24
  11. 11.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  12. 12.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  13. 13.What is (−1/6) + 1/9? (a) 1/18 (b) −5/18 (c) 0 (d) −1/18
  14. 14.What is (−1/2) + (−1/7)? (a) −9/14 (b) −2/9 (c) 9/14 (d) −5/14
  15. 15.What is (−3/7) − 1/3? (a) −16/21 (b) −2/21 (c) 16/21 (d) −2/5
  16. 16.What is (−1/3) + (−1/3)? (a) −1/3 (b) 0 (c) 2/3 (d) −2/3
  17. 17.What is 4/5 − (−3/7)? (a) 13/35 (b) 7/12 (c) 43/35 (d) −43/35
  18. 18.What is (−1/3) − (−1/4)? (a) −7/12 (b) 0 (c) 1/12 (d) −1/12
  19. 19.What is 3/8 − (−7/9)? (a) 10/17 (b) −29/72 (c) 83/72 (d) −83/72
  20. 20.What is (−7/9) − (−1/7)? (a) −3/8 (b) −58/63 (c) −40/63 (d) 40/63
  21. 21.What is the additive inverse of 1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  22. 22.What is (−2/9) − 5/9? (a) 7/9 (b) −7/18 (c) 1/3 (d) −7/9
  23. 23.Is −5/(−2) positive or negative? (a) Positive (b) Negative
  24. 24.What is 7/8 − (−3/5)? (a) 59/40 (b) 10/13 (c) −59/40 (d) 11/40
  25. 25.Which is bigger: −7/9 or −5/7? (a) −5/7 (b) −7/9
  26. 26.What is 1/2 + (−1/9)? (a) 11/18 (b) −7/18 (c) 0 (d) 7/18
  27. 27.Which is bigger: −1/2 or −5/8? (a) −1/2 (b) −5/8
  28. 28.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  30. 30.Write −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −4/18 (c) −9/2 (d) −2/9
  31. 31.Write −30/36 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −30/36
  32. 32.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  33. 33.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−7/8) + (−6/7)? (a) −1/56 (b) −13/15 (c) 97/56 (d) −97/56
  35. 35.Is −9/9 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −5/9 or 3/8? (a) −5/9 (b) 3/8
  37. 37.What is the additive inverse of −1/8? (a) −1/8 (b) 1/8 (c) −8 (d) 8
  38. 38.What is the reciprocal (multiplicative inverse) of 3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  39. 39.Which is smaller: −7/9 or −1/8? (a) −1/8 (b) −7/9
  40. 40.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5

Answer key

  1. −11/8
  2. −1/3
  3. −11/35
  4. 19/15
  5. −1/4
  6. 1/3
  7. −1/8
  8. 4/7
  9. −5/7
  10. −13/24
  11. 9/4
  12. −5/3
  13. −1/18
  14. −9/14
  15. −16/21
  16. −2/3
  17. 43/35
  18. −1/12
  19. 83/72
  20. −40/63
  21. −1/5
  22. −7/9
  23. Positive
  24. 59/40
  25. −5/7
  26. 7/18
  27. −1/2
  28. Positive
  29. 7/2
  30. −2/9
  31. −5/6
  32. Positive
  33. Positive
  34. −97/56
  35. Negative
  36. 3/8
  37. 1/8
  38. 8/3
  39. −7/9
  40. −5

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