← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 662 · 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 1/8 + (−4/5)? (a) −27/40 (b) 27/40 (c) −3/13 (d) 37/40
  2. 2.What is (−7/9) − 1/5? (a) −44/45 (b) −26/45 (c) 44/45 (d) −4/7
  3. 3.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.Write −21/24 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −21/24 (c) 7/8 (d) −8/7
  5. 5.What is the additive inverse of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  6. 6.What is (−1/6) + 4/5? (a) −19/30 (b) 3/11 (c) 19/30 (d) −29/30
  7. 7.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  8. 8.Which is bigger: −3/7 or −1/5? (a) −3/7 (b) −1/5
  9. 9.What is 1/3 − (−5/9)? (a) −8/9 (b) 8/9 (c) −2/9 (d) 1/2
  10. 10.Which is bigger: −7/8 or −5/6? (a) −5/6 (b) −7/8
  11. 11.Which is smaller: −1/5 or −4/5? (a) −4/5 (b) −1/5
  12. 12.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) 3/7 (c) −3/7 (d) −7/3
  13. 13.What is (−3/7) + (−5/9)? (a) 62/63 (b) −1/2 (c) 8/63 (d) −62/63
  14. 14.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −20/32 (d) −8/5
  15. 15.Which is bigger: −1/2 or 2/7? (a) 2/7 (b) −1/2
  16. 16.What is 4/9 − (−4/9)? (a) −8/9 (b) 8/9 (c) 4/9 (d) 0
  17. 17.Is 3/2 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  19. 19.What is (−7/9) + (−3/5)? (a) −5/7 (b) −62/45 (c) −8/45 (d) 62/45
  20. 20.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  21. 21.What is (−4/5) + 1/2? (a) −13/10 (b) −3/7 (c) −3/10 (d) 3/10
  22. 22.What is (−2/3) − (−3/7)? (a) −23/21 (b) −5/21 (c) 5/21 (d) 1/10
  23. 23.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −21/24
  24. 24.What is (−1/9) + (−6/7)? (a) −61/63 (b) −7/16 (c) 61/63 (d) 47/63
  25. 25.What is (−1/3) + 3/5? (a) −14/15 (b) 1/4 (c) −4/15 (d) 4/15
  26. 26.What is (−3/4) + 1/9? (a) −31/36 (b) −23/36 (c) −2/13 (d) 23/36
  27. 27.Is 7/6 positive or negative? (a) Negative (b) Positive
  28. 28.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −4/3 (d) −3/4
  29. 29.What is the additive inverse of −5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  30. 30.Which is bigger: −3/5 or −1/5? (a) −3/5 (b) −1/5
  31. 31.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −5/20 (b) −4/1 (c) −1/4 (d) 1/4
  32. 32.Which is smaller: −1/6 or −4/5? (a) −1/6 (b) −4/5
  33. 33.What is 5/9 + (−5/8)? (a) 0 (b) −5/72 (c) 85/72 (d) 5/72
  34. 34.Which is bigger: −1/3 or 2/3? (a) −1/3 (b) 2/3
  35. 35.Which is bigger: −5/6 or −2/5? (a) −2/5 (b) −5/6
  36. 36.What is the additive inverse of −3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  37. 37.Is 2/4 positive or negative? (a) Negative (b) Positive
  38. 38.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −9/15 (c) −5/3 (d) −3/5
  39. 39.Is −4/(−4) positive or negative? (a) Positive (b) Negative
  40. 40.Which is smaller: −5/6 or 1/8? (a) −5/6 (b) 1/8

Answer key

  1. −27/40
  2. −44/45
  3. Negative
  4. −7/8
  5. −7/8
  6. 19/30
  7. 3
  8. −1/5
  9. 8/9
  10. −5/6
  11. −4/5
  12. −3/7
  13. −62/63
  14. −5/8
  15. 2/7
  16. 8/9
  17. Positive
  18. 8/5
  19. −62/45
  20. −1/4
  21. −3/10
  22. −5/21
  23. −7/8
  24. −61/63
  25. 4/15
  26. −23/36
  27. Positive
  28. −3/4
  29. 5/6
  30. −1/5
  31. −1/4
  32. −4/5
  33. −5/72
  34. 2/3
  35. −2/5
  36. 3/8
  37. Positive
  38. −3/5
  39. Positive
  40. −5/6

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