← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 157 · 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 the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  2. 2.Which is smaller: −5/9 or 1/6? (a) −5/9 (b) 1/6
  3. 3.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  4. 4.What is (−2/5) − (−2/3)? (a) −16/15 (b) 0 (c) −4/15 (d) 4/15
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  6. 6.What is 2/5 + (−1/6)? (a) 17/30 (b) 1/11 (c) −7/30 (d) 7/30
  7. 7.What is (−1/4) + (−3/4)? (a) 1/2 (b) −1 (c) −1/2 (d) 1
  8. 8.Is 3/3 positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −4/5 or −3/4? (a) −3/4 (b) −4/5
  10. 10.Write −4/36 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −9/1 (d) −1/9
  11. 11.Is −6/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  13. 13.What is (−5/7) − (−3/8)? (a) −19/56 (b) 19/56 (c) −61/56 (d) −2/15
  14. 14.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of −1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  16. 16.Which is smaller: −5/9 or −7/8? (a) −7/8 (b) −5/9
  17. 17.What is (−7/8) + 8/9? (a) −127/72 (b) 1/17 (c) 1/72 (d) −1/72
  18. 18.Is 9/8 positive or negative? (a) Negative (b) Positive
  19. 19.What is 7/8 + (−1/3)? (a) −13/24 (b) 29/24 (c) 6/11 (d) 13/24
  20. 20.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  21. 21.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  22. 22.What is 1/2 − (−3/7)? (a) 1/14 (b) 13/14 (c) −13/14 (d) 4/9
  23. 23.What is (−1/4) − (−3/8)? (a) 1/8 (b) −5/8 (c) 1/6 (d) −1/8
  24. 24.Write −30/42 in standard form (lowest terms, positive denominator). (a) −30/42 (b) −7/5 (c) −5/7 (d) 5/7
  25. 25.What is (−1/9) − (−1/7)? (a) −16/63 (b) 2/63 (c) −2/63 (d) 0
  26. 26.What is (−1/9) + (−2/5)? (a) 23/45 (b) −23/45 (c) −3/14 (d) 13/45
  27. 27.Which is bigger: −7/9 or −2/9? (a) −7/9 (b) −2/9
  28. 28.What is (−3/7) + 5/7? (a) 1/7 (b) −8/7 (c) −2/7 (d) 2/7
  29. 29.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −5/1 (c) −1/5 (d) 1/5
  30. 30.Which is smaller: −4/5 or −1/3? (a) −1/3 (b) −4/5
  31. 31.What is (−2/5) − 5/7? (a) −39/35 (b) 11/35 (c) −7/12 (d) 39/35
  32. 32.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  33. 33.What is (−5/9) + 1/8? (a) −49/72 (b) −4/17 (c) 31/72 (d) −31/72
  34. 34.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  35. 35.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/2) + 3/7? (a) 1/14 (b) −1/14 (c) −13/14 (d) 2/9
  37. 37.What is the additive inverse of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  38. 38.Which is smaller: −3/4 or −1/2? (a) −3/4 (b) −1/2
  39. 39.What is (−1/5) − 7/8? (a) 27/40 (b) 43/40 (c) −8/13 (d) −43/40
  40. 40.What is 1/4 − (−2/3)? (a) −5/12 (b) −11/12 (c) 3/7 (d) 11/12

Answer key

  1. 4/3
  2. −5/9
  3. −4
  4. 4/15
  5. 5/2
  6. 7/30
  7. −1
  8. Positive
  9. −4/5
  10. −1/9
  11. Negative
  12. 8/5
  13. −19/56
  14. Negative
  15. 1/2
  16. −7/8
  17. 1/72
  18. Positive
  19. 13/24
  20. 3
  21. −7/8
  22. 13/14
  23. 1/8
  24. −5/7
  25. 2/63
  26. −23/45
  27. −2/9
  28. 2/7
  29. −1/5
  30. −4/5
  31. −39/35
  32. 8/7
  33. −31/72
  34. 1/4
  35. Negative
  36. −1/14
  37. −6/7
  38. −3/4
  39. −43/40
  40. 11/12

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