← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 352 · 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 (−3/8) − (−3/4)? (a) 3/8 (b) −9/8 (c) −3/8 (d) 0
  2. 2.Which is smaller: −1/8 or −1/3? (a) −1/3 (b) −1/8
  3. 3.Which is bigger: −4/5 or −1/6? (a) −4/5 (b) −1/6
  4. 4.Which is smaller: −4/7 or −2/7? (a) −4/7 (b) −2/7
  5. 5.What is (−2/9) − 5/8? (a) 29/72 (b) −7/17 (c) 61/72 (d) −61/72
  6. 6.Which is smaller: −1/3 or −1/5? (a) −1/5 (b) −1/3
  7. 7.What is 2/9 + (−3/8)? (a) 11/72 (b) 43/72 (c) −11/72 (d) −1/17
  8. 8.What is (−4/5) − 1/5? (a) −3/5 (b) −1 (c) 1 (d) −1/2
  9. 9.What is (−4/5) + 1/5? (a) 3/5 (b) −1 (c) −3/5 (d) −3/10
  10. 10.What is (−4/9) − (−1/7)? (a) 19/63 (b) −37/63 (c) −19/63 (d) −3/16
  11. 11.What is 1/4 − (−3/4)? (a) −1 (b) 1 (c) 1/2 (d) −1/2
  12. 12.What is (−3/5) + 3/5? (a) 0 (b) −6/5
  13. 13.Which is smaller: −7/8 or 1/6? (a) −7/8 (b) 1/6
  14. 14.What is (−1/3) − (−5/7)? (a) −22/21 (b) 8/21 (c) 2/5 (d) −8/21
  15. 15.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) 6 (c) −1/6 (d) 1/6
  16. 16.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −2/6 (d) −1/3
  17. 17.What is the additive inverse of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  18. 18.What is 1/2 + (−4/7)? (a) 15/14 (b) 1/14 (c) −1/14 (d) −1/3
  19. 19.Write −15/24 in standard form (lowest terms, positive denominator). (a) −15/24 (b) −8/5 (c) 5/8 (d) −5/8
  20. 20.What is (−1/5) − (−4/7)? (a) 13/35 (b) −13/35 (c) 1/4 (d) −27/35
  21. 21.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −2/7 or −2/9? (a) −2/7 (b) −2/9
  23. 23.Is 7/3 positive or negative? (a) Positive (b) Negative
  24. 24.What is 5/8 + (−8/9)? (a) 19/72 (b) −3/17 (c) 109/72 (d) −19/72
  25. 25.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −2/9 (d) −4/18
  26. 26.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −6/15 (d) −5/2
  27. 27.Which is smaller: −3/8 or −5/8? (a) −5/8 (b) −3/8
  28. 28.What is 2/7 + (−4/7)? (a) 6/7 (b) 2/7 (c) −2/7 (d) −1/7
  29. 29.What is (−4/9) + (−3/5)? (a) −1/2 (b) 47/45 (c) 7/45 (d) −47/45
  30. 30.What is (−4/5) + (−2/7)? (a) −1/2 (b) −38/35 (c) −18/35 (d) 38/35
  31. 31.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −16/20 (c) 4/5 (d) −5/4
  32. 32.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  33. 33.What is (−2/5) − (−2/9)? (a) 8/45 (b) 0 (c) −8/45 (d) −28/45
  34. 34.Which is smaller: −5/8 or −1/3? (a) −5/8 (b) −1/3
  35. 35.Is −3/2 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−3/8) + 1/9? (a) −35/72 (b) 19/72 (c) −19/72 (d) −2/17
  37. 37.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  38. 38.Which is smaller: −2/7 or −7/9? (a) −2/7 (b) −7/9
  39. 39.What is 1/7 + (−5/7)? (a) 4/7 (b) −4/7 (c) −2/7 (d) 6/7
  40. 40.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −18/24 (d) −3/4

Answer key

  1. 3/8
  2. −1/3
  3. −1/6
  4. −4/7
  5. −61/72
  6. −1/3
  7. −11/72
  8. −1
  9. −3/5
  10. −19/63
  11. 1
  12. 0
  13. −7/8
  14. 8/21
  15. 6
  16. −1/3
  17. 1/6
  18. −1/14
  19. −5/8
  20. 13/35
  21. Positive
  22. −2/9
  23. Positive
  24. −19/72
  25. −2/9
  26. −2/5
  27. −5/8
  28. −2/7
  29. −47/45
  30. −38/35
  31. −4/5
  32. −2/5
  33. −8/45
  34. −5/8
  35. Negative
  36. −19/72
  37. 1/4
  38. −7/9
  39. −4/7
  40. −3/4

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