← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 976 · 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.Which is bigger: −1/8 or −4/5? (a) −4/5 (b) −1/8
  2. 2.What is 1/6 + (−1/5)? (a) −1/30 (b) 1/30 (c) 11/30 (d) 0
  3. 3.What is (−5/9) + (−1/4)? (a) 29/36 (b) −11/36 (c) −29/36 (d) −6/13
  4. 4.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −12/28
  5. 5.What is 1/6 + (−7/9)? (a) 17/18 (b) 11/18 (c) −2/5 (d) −11/18
  6. 6.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −5/20 (d) 1/4
  7. 7.What is (−1/3) − 5/7? (a) 8/21 (b) −3/5 (c) −22/21 (d) 22/21
  8. 8.What is the additive inverse of −1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  9. 9.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −1/2 (c) 1/2 (d) −2/1
  10. 10.Write −8/36 in standard form (lowest terms, positive denominator). (a) −8/36 (b) −9/2 (c) −2/9 (d) 2/9
  11. 11.What is (−1/6) − 1/5? (a) −2/11 (b) 1/30 (c) −11/30 (d) 11/30
  12. 12.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of 3/7? (a) 7/3 (b) −7/3 (c) −3/7 (d) 3/7
  14. 14.What is (−4/7) + 2/5? (a) 6/35 (b) −1/6 (c) −34/35 (d) −6/35
  15. 15.Which is smaller: −3/5 or −2/9? (a) −2/9 (b) −3/5
  16. 16.What is (−4/5) − (−3/8)? (a) 17/40 (b) −1/13 (c) −17/40 (d) −47/40
  17. 17.What is the additive inverse of 5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  18. 18.What is the additive inverse of 3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  19. 19.What is (−1/7) − 5/7? (a) −3/7 (b) 6/7 (c) −6/7 (d) 4/7
  20. 20.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −4/9 or 3/5? (a) −4/9 (b) 3/5
  22. 22.Is −8/2 positive or negative? (a) Negative (b) Positive
  23. 23.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  24. 24.What is 7/9 + (−5/6)? (a) −1/18 (b) 1/18 (c) 2/15 (d) 29/18
  25. 25.What is (−4/5) − 5/8? (a) 57/40 (b) −57/40 (c) −9/13 (d) −7/40
  26. 26.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −2/3 (c) 2/3 (d) −3/2
  27. 27.What is 3/8 + (−2/9)? (a) 43/72 (b) 1/17 (c) −11/72 (d) 11/72
  28. 28.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −14/16 (c) −7/8 (d) 7/8
  29. 29.Which is bigger: −5/7 or −1/5? (a) −1/5 (b) −5/7
  30. 30.What is 3/4 + (−1/2)? (a) 1/4 (b) 1/3 (c) 5/4 (d) −1/4
  31. 31.What is (−2/7) + 5/8? (a) −19/56 (b) 1/5 (c) −51/56 (d) 19/56
  32. 32.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  33. 33.Which is bigger: −5/6 or −3/7? (a) −3/7 (b) −5/6
  34. 34.Which is smaller: −4/7 or 2/7? (a) 2/7 (b) −4/7
  35. 35.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −12/54 (d) −2/9
  36. 36.Which is bigger: −4/9 or 1/8? (a) −4/9 (b) 1/8
  37. 37.What is 1/7 + (−1/9)? (a) 0 (b) −2/63 (c) 16/63 (d) 2/63
  38. 38.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−3/7) − 5/7? (a) −8/7 (b) 8/7 (c) −4/7 (d) 2/7
  40. 40.Which is smaller: −5/7 or 2/3? (a) −5/7 (b) 2/3

Answer key

  1. −1/8
  2. −1/30
  3. −29/36
  4. −3/7
  5. −11/18
  6. −1/4
  7. −22/21
  8. 1/2
  9. −1/2
  10. −2/9
  11. −11/30
  12. Positive
  13. −3/7
  14. −6/35
  15. −3/5
  16. −17/40
  17. −5/7
  18. −3/8
  19. −6/7
  20. Positive
  21. 3/5
  22. Negative
  23. −5/3
  24. −1/18
  25. −57/40
  26. −2/3
  27. 11/72
  28. −7/8
  29. −1/5
  30. 1/4
  31. 19/56
  32. −1/3
  33. −3/7
  34. −4/7
  35. −2/9
  36. 1/8
  37. 2/63
  38. Negative
  39. −8/7
  40. −5/7

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