← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 225 · 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) − 1/7? (a) 44/63 (b) −26/63 (c) −3/8 (d) −44/63
  2. 2.Which is smaller: −4/9 or 5/7? (a) 5/7 (b) −4/9
  3. 3.Is −7/4 positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of −5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  5. 5.Which is bigger: −1/4 or 1/3? (a) 1/3 (b) −1/4
  6. 6.Write −30/35 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −30/35
  7. 7.Is −5/4 positive or negative? (a) Negative (b) Positive
  8. 8.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  9. 9.What is (−5/6) − (−8/9)? (a) −31/18 (b) 1/18 (c) −1/18 (d) 1/5
  10. 10.What is (−2/5) − (−5/7)? (a) −39/35 (b) 11/35 (c) −11/35 (d) 1/4
  11. 11.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −14/16 (d) 7/8
  12. 12.Write −4/12 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −4/12 (c) −3/1 (d) 1/3
  13. 13.What is 1/2 + (−3/5)? (a) −1/10 (b) −2/7 (c) 1/10 (d) 11/10
  14. 14.What is (−3/8) + 1/5? (a) 7/40 (b) −2/13 (c) −23/40 (d) −7/40
  15. 15.Is −2/3 positive or negative? (a) Positive (b) Negative
  16. 16.Is 5/2 positive or negative? (a) Negative (b) Positive
  17. 17.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  18. 18.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  19. 19.What is 3/5 − (−1/9)? (a) 22/45 (b) 32/45 (c) −32/45 (d) 2/7
  20. 20.What is (−7/9) + 5/9? (a) −4/3 (b) −2/9 (c) 2/9 (d) −1/9
  21. 21.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −3/15 (d) −1/5
  22. 22.Is −1/9 positive or negative? (a) Negative (b) Positive
  23. 23.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −16/18
  24. 24.Which is smaller: −4/5 or −1/3? (a) −4/5 (b) −1/3
  25. 25.Which is smaller: −1/2 or 5/7? (a) −1/2 (b) 5/7
  26. 26.What is (−2/7) + (−2/5)? (a) 24/35 (b) 4/35 (c) −1/3 (d) −24/35
  27. 27.Which is bigger: −1/9 or 7/8? (a) −1/9 (b) 7/8
  28. 28.Is 6/4 positive or negative? (a) Positive (b) Negative
  29. 29.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) 4/9 (d) −12/27
  30. 30.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  31. 31.What is the additive inverse of 1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  32. 32.What is (−7/9) + 1/9? (a) 2/3 (b) −8/9 (c) −2/3 (d) −1/3
  33. 33.What is (−1/8) − 1/5? (a) −13/40 (b) 3/40 (c) −2/13 (d) 13/40
  34. 34.What is (−5/7) + 1/2? (a) −17/14 (b) 3/14 (c) −4/9 (d) −3/14
  35. 35.What is 4/7 + (−4/5)? (a) 8/35 (b) 48/35 (c) −8/35 (d) 0
  36. 36.What is (−7/8) − (−4/9)? (a) −95/72 (b) 31/72 (c) −31/72 (d) −3/17
  37. 37.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −12/54 (c) −2/9 (d) −9/2
  38. 38.What is (−2/9) − (−5/8)? (a) 29/72 (b) −29/72 (c) −61/72 (d) 3/17
  39. 39.Which is smaller: −3/8 or −1/6? (a) −1/6 (b) −3/8
  40. 40.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7

Answer key

  1. −44/63
  2. −4/9
  3. Negative
  4. 5/9
  5. 1/3
  6. −6/7
  7. Negative
  8. 5/4
  9. 1/18
  10. 11/35
  11. −7/8
  12. −1/3
  13. −1/10
  14. −7/40
  15. Negative
  16. Positive
  17. 9/7
  18. 6/7
  19. 32/45
  20. −2/9
  21. −1/5
  22. Negative
  23. −8/9
  24. −4/5
  25. −1/2
  26. −24/35
  27. 7/8
  28. Positive
  29. −4/9
  30. −4/3
  31. −1/6
  32. −2/3
  33. −13/40
  34. −3/14
  35. −8/35
  36. −31/72
  37. −2/9
  38. 29/72
  39. −3/8
  40. 7/8

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