← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 75 · 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.Which is bigger: −4/5 or −2/9? (a) −2/9 (b) −4/5
  2. 2.What is (−2/5) − 5/6? (a) 13/30 (b) 37/30 (c) −7/11 (d) −37/30
  3. 3.What is 1/4 + (−3/8)? (a) 1/8 (b) −1/6 (c) 5/8 (d) −1/8
  4. 4.What is (−1/8) − 3/4? (a) 7/8 (b) −7/8 (c) −1/3 (d) 5/8
  5. 5.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −18/42 (b) −7/3 (c) 3/7 (d) −3/7
  6. 6.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  7. 7.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  8. 8.Which is smaller: −7/9 or −6/7? (a) −6/7 (b) −7/9
  9. 9.Which is bigger: −1/3 or 2/5? (a) −1/3 (b) 2/5
  10. 10.What is (−5/6) + (−1/5)? (a) 31/30 (b) −6/11 (c) −31/30 (d) −19/30
  11. 11.What is 7/8 + (−7/9)? (a) 7/72 (b) 0 (c) 119/72 (d) −7/72
  12. 12.What is (−1/6) + 1/6? (a) −1/3 (b) 0
  13. 13.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  14. 14.What is (−1/7) + (−1/3)? (a) −10/21 (b) 10/21 (c) 4/21 (d) −1/5
  15. 15.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  16. 16.What is (−2/3) + (−6/7)? (a) 4/21 (b) −32/21 (c) 32/21 (d) −4/5
  17. 17.What is the additive inverse of 7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  18. 18.Which is smaller: −1/2 or 1/7? (a) −1/2 (b) 1/7
  19. 19.Which is smaller: −4/5 or −5/7? (a) −5/7 (b) −4/5
  20. 20.Which is bigger: −1/6 or −5/8? (a) −5/8 (b) −1/6
  21. 21.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  22. 22.What is (−1/9) − (−6/7)? (a) −61/63 (b) −47/63 (c) 5/16 (d) 47/63
  23. 23.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −36/42
  24. 24.What is (−1/5) − (−2/9)? (a) −1/45 (b) 1/14 (c) −19/45 (d) 1/45
  25. 25.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  26. 26.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  27. 27.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) −3/5 (d) 3/5
  28. 28.What is (−1/3) − 1/9? (a) 4/9 (b) −4/9 (c) −1/6 (d) −2/9
  29. 29.Which is smaller: −3/8 or −2/9? (a) −3/8 (b) −2/9
  30. 30.What is (−2/7) − (−1/7)? (a) −3/7 (b) −1/7 (c) 1/7 (d) −1/14
  31. 31.What is (−5/7) − 4/5? (a) −3/4 (b) 53/35 (c) 3/35 (d) −53/35
  32. 32.Is −6/2 positive or negative? (a) Positive (b) Negative
  33. 33.Which is bigger: −1/7 or 1/4? (a) −1/7 (b) 1/4
  34. 34.Which is bigger: −1/7 or −3/5? (a) −3/5 (b) −1/7
  35. 35.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −15/25
  36. 36.What is 2/5 + (−4/7)? (a) −1/6 (b) 34/35 (c) 6/35 (d) −6/35
  37. 37.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −15/27 (d) −5/9
  38. 38.What is 1/8 + (−7/9)? (a) −6/17 (b) 47/72 (c) 65/72 (d) −47/72
  39. 39.Which is bigger: −6/7 or −1/9? (a) −1/9 (b) −6/7
  40. 40.Which is smaller: −1/3 or 2/3? (a) −1/3 (b) 2/3

Answer key

  1. −2/9
  2. −37/30
  3. −1/8
  4. −7/8
  5. −3/7
  6. −6/7
  7. 3
  8. −6/7
  9. 2/5
  10. −31/30
  11. 7/72
  12. 0
  13. 8
  14. −10/21
  15. 5/4
  16. −32/21
  17. −7/8
  18. −1/2
  19. −4/5
  20. −1/6
  21. 7/9
  22. 47/63
  23. −6/7
  24. 1/45
  25. −3/5
  26. −5/3
  27. −3/5
  28. −4/9
  29. −3/8
  30. −1/7
  31. −53/35
  32. Negative
  33. 1/4
  34. −1/7
  35. −3/5
  36. −6/35
  37. −5/9
  38. −47/72
  39. −1/9
  40. −1/3

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