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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 695 · 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) + 3/7? (a) 25/56 (b) −25/56 (c) −73/56 (d) −4/15
  2. 2.What is (−7/8) − (−5/7)? (a) −2/15 (b) 9/56 (c) −89/56 (d) −9/56
  3. 3.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  4. 4.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −4/8 (c) −1/2 (d) −2/1
  5. 5.What is 7/9 + (−3/8)? (a) −29/72 (b) 29/72 (c) 4/17 (d) 83/72
  6. 6.What is 1/5 + (−4/7)? (a) −13/35 (b) 27/35 (c) 13/35 (d) −1/4
  7. 7.Which is bigger: −5/8 or −7/8? (a) −7/8 (b) −5/8
  8. 8.What is 5/8 − (−5/9)? (a) 5/72 (b) 10/17 (c) −85/72 (d) 85/72
  9. 9.What is the additive inverse of 5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  10. 10.What is 1/7 + (−3/4)? (a) −17/28 (b) 25/28 (c) −2/11 (d) 17/28
  11. 11.What is (−4/7) + (−1/5)? (a) −13/35 (b) −27/35 (c) −5/12 (d) 27/35
  12. 12.Which is bigger: −3/8 or −7/8? (a) −7/8 (b) −3/8
  13. 13.Is −5/6 positive or negative? (a) Positive (b) Negative
  14. 14.Is 7/3 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−5/9) + 5/8? (a) −85/72 (b) 5/72 (c) −5/72 (d) 0
  16. 16.What is (−4/9) + 1/5? (a) −11/45 (b) −3/14 (c) 11/45 (d) −29/45
  17. 17.What is (−1/5) − (−3/4)? (a) −11/20 (b) 11/20 (c) 2/9 (d) −19/20
  18. 18.What is (−1/3) − 1/8? (a) −5/24 (b) 11/24 (c) −2/11 (d) −11/24
  19. 19.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) −1/2 (d) 1/2
  20. 20.What is the additive inverse of −5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  21. 21.What is 2/3 − (−5/7)? (a) −29/21 (b) 29/21 (c) −1/21 (d) 7/10
  22. 22.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  23. 23.What is (−5/7) + 1/7? (a) −2/7 (b) −6/7 (c) 4/7 (d) −4/7
  24. 24.Which is smaller: −4/9 or 5/6? (a) 5/6 (b) −4/9
  25. 25.What is (−2/9) − (−1/3)? (a) 1/9 (b) −1/12 (c) −5/9 (d) −1/9
  26. 26.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  27. 27.What is 1/9 − (−4/7)? (a) 43/63 (b) 5/16 (c) −43/63 (d) −29/63
  28. 28.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −4/18 (c) −9/2 (d) −2/9
  29. 29.What is (−1/3) − 1/5? (a) −2/15 (b) −1/4 (c) 8/15 (d) −8/15
  30. 30.Is 7/6 positive or negative? (a) Negative (b) Positive
  31. 31.Which is smaller: −1/4 or −1/5? (a) −1/5 (b) −1/4
  32. 32.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−3/7) + (−4/5)? (a) 13/35 (b) −7/12 (c) −43/35 (d) 43/35
  34. 34.What is (−1/9) − (−3/5)? (a) 1/7 (b) −32/45 (c) 22/45 (d) −22/45
  35. 35.What is (−8/9) − (−5/7)? (a) −101/63 (b) −11/63 (c) 11/63 (d) −3/16
  36. 36.What is (−5/9) + 4/7? (a) −1/16 (b) −1/63 (c) 1/63 (d) −71/63
  37. 37.What is (−8/9) + (−3/4)? (a) 59/36 (b) −11/13 (c) −5/36 (d) −59/36
  38. 38.Which is bigger: −1/8 or −1/2? (a) −1/2 (b) −1/8
  39. 39.Which is bigger: −1/3 or 4/7? (a) −1/3 (b) 4/7
  40. 40.What is the additive inverse of 1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6

Answer key

  1. −25/56
  2. −9/56
  3. −1/3
  4. −1/2
  5. 29/72
  6. −13/35
  7. −5/8
  8. 85/72
  9. −5/9
  10. −17/28
  11. −27/35
  12. −3/8
  13. Negative
  14. Positive
  15. 5/72
  16. −11/45
  17. 11/20
  18. −11/24
  19. −1/2
  20. 5/7
  21. 29/21
  22. 7/5
  23. −4/7
  24. −4/9
  25. 1/9
  26. 3/2
  27. 43/63
  28. −2/9
  29. −8/15
  30. Positive
  31. −1/4
  32. Positive
  33. −43/35
  34. 22/45
  35. −11/63
  36. 1/63
  37. −59/36
  38. −1/8
  39. 4/7
  40. −1/6

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