← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 397 · 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.Is 5/4 positive or negative? (a) Positive (b) Negative
  2. 2.What is 1/6 − (−7/9)? (a) 8/15 (b) −17/18 (c) −11/18 (d) 17/18
  3. 3.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −1/4 (c) 1/4 (d) −4
  4. 4.What is (−2/3) − 3/8? (a) −25/24 (b) 25/24 (c) −7/24 (d) −5/11
  5. 5.What is (−1/4) + (−2/5)? (a) 3/20 (b) 13/20 (c) −1/3 (d) −13/20
  6. 6.What is 2/7 + (−7/9)? (a) −31/63 (b) −5/16 (c) 31/63 (d) 67/63
  7. 7.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) −9/1 (c) −1/9 (d) 1/9
  8. 8.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−1/4) + (−2/3)? (a) −11/12 (b) 11/12 (c) −3/7 (d) 5/12
  10. 10.What is 2/9 + (−1/7)? (a) 5/63 (b) −5/63 (c) 23/63 (d) 1/16
  11. 11.Which is smaller: −4/7 or 7/9? (a) 7/9 (b) −4/7
  12. 12.What is (−1/4) − (−5/7)? (a) −27/28 (b) 13/28 (c) 4/11 (d) −13/28
  13. 13.What is the additive inverse of 5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  14. 14.What is (−4/9) + (−1/8)? (a) −41/72 (b) 41/72 (c) −23/72 (d) −5/17
  15. 15.What is (−1/7) − (−1/2)? (a) 0 (b) −5/14 (c) −9/14 (d) 5/14
  16. 16.What is (−7/8) − 4/9? (a) 95/72 (b) −11/17 (c) −95/72 (d) −31/72
  17. 17.What is (−5/8) − (−5/9)? (a) −85/72 (b) −5/72 (c) 5/72 (d) 0
  18. 18.What is (−2/7) + 1/4? (a) −1/11 (b) −15/28 (c) 1/28 (d) −1/28
  19. 19.What is the additive inverse of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  20. 20.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −10/15
  21. 21.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) 7/8 (c) −7/8 (d) −8/7
  22. 22.What is 1/2 − (−5/7)? (a) −3/14 (b) −17/14 (c) 2/3 (d) 17/14
  23. 23.Is −7/8 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−4/5) + (−5/6)? (a) −9/11 (b) −49/30 (c) 49/30 (d) 1/30
  25. 25.Is 2/9 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−5/6) + (−5/9)? (a) 25/18 (b) −2/3 (c) −5/18 (d) −25/18
  27. 27.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  28. 28.What is (−1/7) + 1/7? (a) 0 (b) −2/7
  29. 29.Which is smaller: −1/2 or −1/5? (a) −1/2 (b) −1/5
  30. 30.What is (−6/7) − (−1/9)? (a) 47/63 (b) −47/63 (c) −61/63 (d) −5/16
  31. 31.What is 5/6 + (−4/9)? (a) 1/15 (b) −7/18 (c) 7/18 (d) 23/18
  32. 32.What is the additive inverse of 5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  33. 33.What is (−1/2) + (−4/5)? (a) −5/7 (b) 3/10 (c) −13/10 (d) 13/10
  34. 34.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −3/12
  35. 35.What is (−7/8) − 5/9? (a) −103/72 (b) −23/72 (c) −12/17 (d) 103/72
  36. 36.Write −4/24 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −4/24 (d) −1/6
  37. 37.What is 8/9 + (−5/9)? (a) −1/3 (b) 1/6 (c) 13/9 (d) 1/3
  38. 38.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  39. 39.Is −4/5 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−5/6) − (−4/7)? (a) −1/13 (b) −59/42 (c) 11/42 (d) −11/42

Answer key

  1. Positive
  2. 17/18
  3. −4
  4. −25/24
  5. −13/20
  6. −31/63
  7. −1/9
  8. Negative
  9. −11/12
  10. 5/63
  11. −4/7
  12. 13/28
  13. −5/6
  14. −41/72
  15. 5/14
  16. −95/72
  17. −5/72
  18. −1/28
  19. −2/5
  20. −2/3
  21. −7/8
  22. 17/14
  23. Negative
  24. −49/30
  25. Positive
  26. −25/18
  27. 3/5
  28. 0
  29. −1/2
  30. −47/63
  31. 7/18
  32. −5/7
  33. −13/10
  34. −1/4
  35. −103/72
  36. −1/6
  37. 1/3
  38. Negative
  39. Negative
  40. −11/42

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