← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 126 · 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: −8/9 or 1/7? (a) −8/9 (b) 1/7
  2. 2.Which is bigger: −2/5 or 1/5? (a) −2/5 (b) 1/5
  3. 3.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  4. 4.What is (−2/9) + (−2/5)? (a) 28/45 (b) −28/45 (c) 8/45 (d) −2/7
  5. 5.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −5/10 (d) −1/2
  6. 6.What is the additive inverse of −1/2? (a) 2 (b) −1/2 (c) 1/2 (d) −2
  7. 7.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −6/30
  8. 8.Which is smaller: −2/9 or 5/6? (a) −2/9 (b) 5/6
  9. 9.What is 3/5 + (−3/7)? (a) 36/35 (b) 0 (c) 6/35 (d) −6/35
  10. 10.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  11. 11.What is 1/4 − (−7/8)? (a) −9/8 (b) −5/8 (c) 2/3 (d) 9/8
  12. 12.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  13. 13.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −2/16 (c) −1/8 (d) −8/1
  14. 14.What is (−4/9) + (−1/3)? (a) 7/9 (b) −7/9 (c) −1/9 (d) −5/12
  15. 15.Which is smaller: −3/8 or −1/3? (a) −3/8 (b) −1/3
  16. 16.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −6/15
  17. 17.What is 5/6 + (−5/9)? (a) 25/18 (b) 0 (c) 5/18 (d) −5/18
  18. 18.Is 3/2 positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  20. 20.What is 2/5 − (−2/3)? (a) 1/2 (b) 16/15 (c) −16/15 (d) −4/15
  21. 21.Which is bigger: −4/9 or −4/5? (a) −4/5 (b) −4/9
  22. 22.Which is bigger: −4/5 or −1/6? (a) −4/5 (b) −1/6
  23. 23.What is the additive inverse of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  24. 24.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  25. 25.What is (−5/8) + 7/8? (a) 1/4 (b) −3/2 (c) −1/4 (d) 1/8
  26. 26.What is (−1/3) + 1/3? (a) 0 (b) −2/3
  27. 27.Which is smaller: −7/8 or −8/9? (a) −8/9 (b) −7/8
  28. 28.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) 5/8 (d) −8/5
  29. 29.Which is bigger: −5/6 or 1/5? (a) 1/5 (b) −5/6
  30. 30.What is (−1/3) − (−2/3)? (a) 1/3 (b) −1 (c) 1/6 (d) −1/3
  31. 31.Which is smaller: −2/9 or −3/4? (a) −3/4 (b) −2/9
  32. 32.What is (−2/9) − (−3/5)? (a) −17/45 (b) 1/14 (c) −37/45 (d) 17/45
  33. 33.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  34. 34.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) −3/4 (c) −4/3 (d) 3/4
  35. 35.What is (−7/9) + 6/7? (a) 5/63 (b) −5/63 (c) −1/16 (d) −103/63
  36. 36.Which is smaller: −5/6 or 6/7? (a) −5/6 (b) 6/7
  37. 37.Which is bigger: −1/8 or −3/8? (a) −3/8 (b) −1/8
  38. 38.Which is smaller: −7/9 or −3/8? (a) −7/9 (b) −3/8
  39. 39.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −6/10 (c) −3/5 (d) 3/5
  40. 40.What is (−8/9) − 7/8? (a) −15/17 (b) −1/72 (c) −127/72 (d) 127/72

Answer key

  1. 1/7
  2. 1/5
  3. Negative
  4. −28/45
  5. −1/2
  6. 1/2
  7. −1/5
  8. −2/9
  9. 6/35
  10. Negative
  11. 9/8
  12. 3/2
  13. −1/8
  14. −7/9
  15. −3/8
  16. −2/5
  17. 5/18
  18. Positive
  19. 1/7
  20. 16/15
  21. −4/9
  22. −1/6
  23. −1/5
  24. −9/8
  25. 1/4
  26. 0
  27. −8/9
  28. −5/8
  29. 1/5
  30. 1/3
  31. −3/4
  32. 17/45
  33. 7/3
  34. −3/4
  35. 5/63
  36. −5/6
  37. −1/8
  38. −7/9
  39. −3/5
  40. −127/72

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