← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 440 · 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 5/9 + (−7/9)? (a) −1/9 (b) 2/9 (c) 4/3 (d) −2/9
  2. 2.Which is smaller: −8/9 or −4/9? (a) −4/9 (b) −8/9
  3. 3.What is (−1/9) − 6/7? (a) 61/63 (b) −61/63 (c) −7/16 (d) 47/63
  4. 4.What is (−3/8) + 8/9? (a) −37/72 (b) 5/17 (c) −91/72 (d) 37/72
  5. 5.What is 6/7 − (−4/9)? (a) 5/8 (b) 82/63 (c) 26/63 (d) −82/63
  6. 6.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  7. 7.Write −5/15 in standard form (lowest terms, positive denominator). (a) −5/15 (b) −1/3 (c) −3/1 (d) 1/3
  8. 8.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  9. 9.Which is bigger: −2/5 or 2/7? (a) 2/7 (b) −2/5
  10. 10.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  11. 11.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  12. 12.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −4/18 (d) 2/9
  13. 13.Is −8/2 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−4/5) + 5/7? (a) −53/35 (b) 1/12 (c) 3/35 (d) −3/35
  15. 15.Which is bigger: −7/8 or −5/6? (a) −5/6 (b) −7/8
  16. 16.What is (−1/6) + 2/5? (a) −17/30 (b) 1/11 (c) −7/30 (d) 7/30
  17. 17.Which is bigger: −3/4 or −1/4? (a) −1/4 (b) −3/4
  18. 18.What is (−2/3) − 1/7? (a) −3/10 (b) −11/21 (c) 17/21 (d) −17/21
  19. 19.Which is bigger: −6/7 or −2/3? (a) −6/7 (b) −2/3
  20. 20.What is 2/9 − (−1/7)? (a) 3/16 (b) 23/63 (c) 5/63 (d) −23/63
  21. 21.Which is smaller: −1/8 or 4/7? (a) 4/7 (b) −1/8
  22. 22.Is −2/3 positive or negative? (a) Negative (b) Positive
  23. 23.Which is smaller: −4/5 or −3/5? (a) −4/5 (b) −3/5
  24. 24.What is (−1/3) + (−8/9)? (a) 5/9 (b) −3/4 (c) 11/9 (d) −11/9
  25. 25.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−6/7) − 3/5? (a) −9/35 (b) −51/35 (c) 51/35 (d) −3/4
  27. 27.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  28. 28.What is 6/7 + (−3/5)? (a) 1/4 (b) 51/35 (c) 9/35 (d) −9/35
  29. 29.Which is bigger: −1/6 or 4/5? (a) −1/6 (b) 4/5
  30. 30.What is 5/9 + (−5/9)? (a) 0 (b) 10/9
  31. 31.What is (−6/7) + 2/5? (a) 16/35 (b) −16/35 (c) −44/35 (d) −1/3
  32. 32.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −12/20 (d) −3/5
  33. 33.Which is smaller: −1/8 or −1/3? (a) −1/3 (b) −1/8
  34. 34.What is (−2/9) + 4/7? (a) 1/8 (b) −22/63 (c) 22/63 (d) −50/63
  35. 35.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −5/10 (d) −1/2
  36. 36.What is (−1/8) + 3/8? (a) 1/8 (b) 1/4 (c) −1/4 (d) −1/2
  37. 37.What is (−3/7) + (−1/7)? (a) −2/7 (b) −4/7 (c) 4/7
  38. 38.Is 3/2 positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −3/5 or −2/7? (a) −3/5 (b) −2/7
  40. 40.Write −4/8 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −4/8 (d) 1/2

Answer key

  1. −2/9
  2. −8/9
  3. −61/63
  4. 37/72
  5. 82/63
  6. 8
  7. −1/3
  8. Positive
  9. 2/7
  10. 7/4
  11. 5/7
  12. −2/9
  13. Negative
  14. −3/35
  15. −5/6
  16. 7/30
  17. −1/4
  18. −17/21
  19. −2/3
  20. 23/63
  21. −1/8
  22. Negative
  23. −4/5
  24. −11/9
  25. Positive
  26. −51/35
  27. 5
  28. 9/35
  29. 4/5
  30. 0
  31. −16/35
  32. −3/5
  33. −1/3
  34. 22/63
  35. −1/2
  36. 1/4
  37. −4/7
  38. Positive
  39. −3/5
  40. −1/2

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