← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 168 · 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.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −16/18
  2. 2.Write −5/40 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −5/40
  3. 3.Is 9/9 positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −2/9 or −1/5? (a) −1/5 (b) −2/9
  5. 5.What is (−8/9) − (−2/5)? (a) −58/45 (b) −22/45 (c) −3/7 (d) 22/45
  6. 6.Which is smaller: −1/5 or −2/3? (a) −1/5 (b) −2/3
  7. 7.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  8. 8.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −7/1 (d) −1/7
  9. 9.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  10. 10.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −3/24 (b) 1/8 (c) −8/1 (d) −1/8
  11. 11.Which is bigger: −4/7 or 2/5? (a) 2/5 (b) −4/7
  12. 12.Is −6/9 positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −1/2 or −1/5? (a) −1/2 (b) −1/5
  14. 14.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) −5/6 (c) 5/6 (d) −6/5
  15. 15.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/7) + 1/4? (a) 1/28 (b) −1/28 (c) −15/28 (d) −1/11
  17. 17.Which is bigger: −2/7 or −3/7? (a) −3/7 (b) −2/7
  18. 18.Write −25/40 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −5/8 (d) −25/40
  19. 19.What is (−1/9) − 3/8? (a) −4/17 (b) 19/72 (c) 35/72 (d) −35/72
  20. 20.Which is smaller: −1/4 or 1/8? (a) −1/4 (b) 1/8
  21. 21.What is 3/8 − (−1/2)? (a) −7/8 (b) −1/8 (c) 2/5 (d) 7/8
  22. 22.What is 2/3 + (−3/8)? (a) −7/24 (b) 25/24 (c) −1/11 (d) 7/24
  23. 23.What is 4/7 − (−2/7)? (a) 6/7 (b) 3/7 (c) 2/7 (d) −6/7
  24. 24.Write −5/15 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −5/15
  25. 25.Is 3/5 positive or negative? (a) Negative (b) Positive
  26. 26.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  27. 27.What is 3/8 − (−2/7)? (a) 5/56 (b) 1/3 (c) −37/56 (d) 37/56
  28. 28.What is (−2/9) + 1/4? (a) −1/13 (b) 1/36 (c) −17/36 (d) −1/36
  29. 29.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) −1/3 (d) 1/3
  30. 30.What is 3/7 − (−5/9)? (a) 1/2 (b) 62/63 (c) −8/63 (d) −62/63
  31. 31.What is 1/4 + (−6/7)? (a) −17/28 (b) −5/11 (c) 31/28 (d) 17/28
  32. 32.Which is smaller: −5/6 or −2/3? (a) −5/6 (b) −2/3
  33. 33.What is (−1/9) + 5/6? (a) 13/18 (b) 4/15 (c) −17/18 (d) −13/18
  34. 34.What is 1/5 + (−3/5)? (a) −2/5 (b) 4/5 (c) 2/5 (d) −1/5
  35. 35.What is the additive inverse of 1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  36. 36.What is (−5/9) + (−6/7)? (a) −89/63 (b) −11/16 (c) 89/63 (d) 19/63
  37. 37.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  38. 38.Is 3/3 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−7/8) − 5/9? (a) −103/72 (b) −23/72 (c) −12/17 (d) 103/72
  40. 40.What is (−1/9) − (−2/9)? (a) −1/9 (b) 1/18 (c) 1/9 (d) −1/3

Answer key

  1. −8/9
  2. −1/8
  3. Positive
  4. −2/9
  5. −22/45
  6. −2/3
  7. 5/3
  8. −1/7
  9. 9
  10. −1/8
  11. 2/5
  12. Negative
  13. −1/2
  14. −5/6
  15. Negative
  16. −1/28
  17. −2/7
  18. −5/8
  19. −35/72
  20. −1/4
  21. 7/8
  22. 7/24
  23. 6/7
  24. −1/3
  25. Positive
  26. 9/2
  27. 37/56
  28. 1/36
  29. −1/3
  30. 62/63
  31. −17/28
  32. −5/6
  33. 13/18
  34. −2/5
  35. −1/2
  36. −89/63
  37. −9/5
  38. Positive
  39. −103/72
  40. 1/9

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