← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 949 · 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.Is −6/(−7) positive or negative? (a) Negative (b) Positive
  2. 2.What is 7/8 − (−5/9)? (a) 103/72 (b) −103/72 (c) 23/72 (d) 12/17
  3. 3.Is 4/3 positive or negative? (a) Negative (b) Positive
  4. 4.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  5. 5.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) −5/4 (d) 4/5
  6. 6.What is the additive inverse of −3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  7. 7.Which is smaller: −3/8 or −2/9? (a) −3/8 (b) −2/9
  8. 8.What is 2/5 − (−2/7)? (a) 4/35 (b) 1/3 (c) 24/35 (d) −24/35
  9. 9.Is 7/(−8) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−6/7) − (−1/5)? (a) −5/12 (b) −37/35 (c) −23/35 (d) 23/35
  11. 11.What is (−1/5) − (−1/6)? (a) 0 (b) −11/30 (c) 1/30 (d) −1/30
  12. 12.What is 1/2 + (−4/9)? (a) −3/11 (b) 17/18 (c) −1/18 (d) 1/18
  13. 13.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−6/7) + 1/5? (a) −37/35 (b) −23/35 (c) −5/12 (d) 23/35
  15. 15.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  16. 16.What is (−1/5) + 2/3? (a) −7/15 (b) 1/8 (c) −13/15 (d) 7/15
  17. 17.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  18. 18.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  19. 19.What is (−1/6) + 7/9? (a) 2/5 (b) 11/18 (c) −17/18 (d) −11/18
  20. 20.What is (−2/9) + (−1/3)? (a) 5/9 (b) −5/9 (c) −1/4 (d) 1/9
  21. 21.Which is bigger: −7/9 or −7/8? (a) −7/8 (b) −7/9
  22. 22.What is 2/7 + (−5/6)? (a) 47/42 (b) −3/13 (c) 23/42 (d) −23/42
  23. 23.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −3/9
  24. 24.Which is smaller: −5/9 or −2/7? (a) −2/7 (b) −5/9
  25. 25.Is −2/6 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −4/7 or 3/5? (a) −4/7 (b) 3/5
  27. 27.What is (−4/7) − 2/9? (a) −50/63 (b) −3/8 (c) 50/63 (d) −22/63
  28. 28.What is (−2/9) − 3/5? (a) −37/45 (b) 17/45 (c) 37/45 (d) −5/14
  29. 29.Which is bigger: −5/9 or −3/7? (a) −5/9 (b) −3/7
  30. 30.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  31. 31.What is (−3/4) + 3/7? (a) −33/28 (b) −9/28 (c) 9/28 (d) 0
  32. 32.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −8/9 (d) −9/8
  33. 33.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 7/6 (c) 6/7 (d) −6/7
  34. 34.Which is bigger: −5/6 or −5/8? (a) −5/8 (b) −5/6
  35. 35.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) −7/5 (d) 5/7
  36. 36.What is (−4/7) − (−5/6)? (a) 11/42 (b) 1/13 (c) −59/42 (d) −11/42
  37. 37.Write −3/6 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −3/6 (d) −2/1
  38. 38.What is (−2/3) + (−5/6)? (a) 1/6 (b) 3/2 (c) −7/9 (d) −3/2
  39. 39.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −4/20 (b) −5/1 (c) 1/5 (d) −1/5
  40. 40.Is 2/3 positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. 103/72
  3. Positive
  4. Positive
  5. −5/4
  6. 3/5
  7. −3/8
  8. 24/35
  9. Negative
  10. −23/35
  11. −1/30
  12. 1/18
  13. Positive
  14. −23/35
  15. −8/3
  16. 7/15
  17. −4/9
  18. −5/6
  19. 11/18
  20. −5/9
  21. −7/9
  22. −23/42
  23. −1/3
  24. −5/9
  25. Negative
  26. −4/7
  27. −50/63
  28. −37/45
  29. −3/7
  30. Negative
  31. −9/28
  32. −8/9
  33. 7/6
  34. −5/8
  35. −5/7
  36. 11/42
  37. −1/2
  38. −3/2
  39. −1/5
  40. Positive

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets