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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 752 · 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 1/2 − (−8/9)? (a) −7/18 (b) 9/11 (c) 25/18 (d) −25/18
  2. 2.What is (−1/4) − 2/5? (a) −1/3 (b) −13/20 (c) 13/20 (d) 3/20
  3. 3.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −15/25 (d) −5/3
  4. 4.What is 4/5 + (−1/8)? (a) 37/40 (b) 3/13 (c) 27/40 (d) −27/40
  5. 5.Which is smaller: −3/8 or −1/3? (a) −3/8 (b) −1/3
  6. 6.Is 4/9 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−6/7) + (−2/5)? (a) −44/35 (b) −16/35 (c) −2/3 (d) 44/35
  8. 8.What is (−7/8) + 1/2? (a) −11/8 (b) 3/8 (c) −3/8 (d) −3/5
  9. 9.What is (−1/9) − (−1/7)? (a) −16/63 (b) 0 (c) −2/63 (d) 2/63
  10. 10.What is (−2/3) + 4/7? (a) 1/5 (b) −2/21 (c) 2/21 (d) −26/21
  11. 11.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −6/27 (b) −9/2 (c) −2/9 (d) 2/9
  12. 12.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  13. 13.What is (−3/4) − 2/3? (a) −1/12 (b) −17/12 (c) −5/7 (d) 17/12
  14. 14.What is 5/8 + (−6/7)? (a) 83/56 (b) −13/56 (c) −1/15 (d) 13/56
  15. 15.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −15/35
  16. 16.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −24/28 (d) −6/7
  17. 17.What is (−1/4) − (−4/5)? (a) 1/3 (b) −21/20 (c) −11/20 (d) 11/20
  18. 18.What is the additive inverse of −6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  19. 19.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  20. 20.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) −4/14 (d) 2/7
  21. 21.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  22. 22.What is the additive inverse of 4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  23. 23.What is (−3/5) + 1/4? (a) −2/9 (b) 7/20 (c) −17/20 (d) −7/20
  24. 24.What is the additive inverse of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  25. 25.Which is bigger: −1/8 or 1/3? (a) −1/8 (b) 1/3
  26. 26.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  27. 27.What is 6/7 − (−5/9)? (a) −89/63 (b) 19/63 (c) 11/16 (d) 89/63
  28. 28.What is (−1/4) + 2/9? (a) 1/13 (b) −17/36 (c) −1/36 (d) 1/36
  29. 29.What is (−4/9) − (−7/9)? (a) −11/9 (b) 1/6 (c) 1/3 (d) −1/3
  30. 30.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  31. 31.Which is smaller: −1/4 or 3/4? (a) 3/4 (b) −1/4
  32. 32.What is (−2/3) − (−2/9)? (a) −8/9 (b) 0 (c) −4/9 (d) 4/9
  33. 33.What is (−1/6) − (−4/5)? (a) −19/30 (b) 19/30 (c) 3/11 (d) −29/30
  34. 34.What is (−1/5) − 8/9? (a) 49/45 (b) −9/14 (c) −49/45 (d) 31/45
  35. 35.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −9/2 (d) −8/36
  36. 36.Is −6/6 positive or negative? (a) Positive (b) Negative
  37. 37.Is −7/9 positive or negative? (a) Negative (b) Positive
  38. 38.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/4 (d) −2/1
  39. 39.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −21/24 (d) −7/8
  40. 40.What is 1/4 − (−1/7)? (a) 11/28 (b) −11/28 (c) 2/11 (d) 3/28

Answer key

  1. 25/18
  2. −13/20
  3. −3/5
  4. 27/40
  5. −3/8
  6. Positive
  7. −44/35
  8. −3/8
  9. 2/63
  10. −2/21
  11. −2/9
  12. 7/2
  13. −17/12
  14. −13/56
  15. −3/7
  16. −6/7
  17. 11/20
  18. 6/7
  19. 9/4
  20. −2/7
  21. 7/3
  22. −4/9
  23. −7/20
  24. 2/7
  25. 1/3
  26. Negative
  27. 89/63
  28. −1/36
  29. 1/3
  30. −7/5
  31. −1/4
  32. −4/9
  33. 19/30
  34. −49/45
  35. −2/9
  36. Negative
  37. Negative
  38. −1/2
  39. −7/8
  40. 11/28

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