← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 247 · 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 smaller: −1/2 or −8/9? (a) −1/2 (b) −8/9
  2. 2.What is (−2/3) + 2/3? (a) −4/3 (b) 0
  3. 3.Is 3/6 positive or negative? (a) Negative (b) Positive
  4. 4.What is 2/3 + (−2/3)? (a) 4/3 (b) 0
  5. 5.What is (−2/5) − 1/3? (a) −1/15 (b) −11/15 (c) 11/15 (d) −3/8
  6. 6.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −4/10
  7. 7.What is 5/7 − (−1/2)? (a) 3/14 (b) −17/14 (c) 17/14 (d) 2/3
  8. 8.Which is bigger: −4/9 or 2/9? (a) 2/9 (b) −4/9
  9. 9.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  10. 10.What is (−1/6) + 2/3? (a) −5/6 (b) 1/9 (c) −1/2 (d) 1/2
  11. 11.What is (−1/8) + 6/7? (a) −55/56 (b) −41/56 (c) 1/3 (d) 41/56
  12. 12.Which is smaller: −3/4 or −1/4? (a) −1/4 (b) −3/4
  13. 13.What is (−7/9) + 1/5? (a) −3/7 (b) −26/45 (c) −44/45 (d) 26/45
  14. 14.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.Which is smaller: −4/7 or 1/3? (a) 1/3 (b) −4/7
  16. 16.Which is bigger: −8/9 or −1/3? (a) −1/3 (b) −8/9
  17. 17.What is (−3/8) − 3/4? (a) 9/8 (b) −1/2 (c) 3/8 (d) −9/8
  18. 18.What is the additive inverse of 5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9
  19. 19.What is the additive inverse of −7/9? (a) −9/7 (b) 7/9 (c) −7/9 (d) 9/7
  20. 20.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) −7/1 (c) 1/7 (d) −1/7
  21. 21.Which is smaller: −3/8 or −7/8? (a) −3/8 (b) −7/8
  22. 22.What is the additive inverse of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  23. 23.What is 1/3 − (−5/6)? (a) −7/6 (b) −1/2 (c) 2/3 (d) 7/6
  24. 24.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  25. 25.What is 4/7 + (−5/8)? (a) −3/56 (b) 3/56 (c) 67/56 (d) −1/15
  26. 26.Write −30/42 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −30/42
  27. 27.Which is bigger: −7/9 or 3/8? (a) −7/9 (b) 3/8
  28. 28.Which is smaller: −3/8 or −3/5? (a) −3/5 (b) −3/8
  29. 29.Write −12/18 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −12/18 (d) −3/2
  30. 30.Write −4/18 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −4/18 (c) 2/9 (d) −9/2
  31. 31.What is (−7/8) + 3/7? (a) −73/56 (b) −25/56 (c) 25/56 (d) −4/15
  32. 32.What is (−2/9) + 5/7? (a) 3/16 (b) −31/63 (c) 31/63 (d) −59/63
  33. 33.Which is smaller: −1/3 or −4/9? (a) −1/3 (b) −4/9
  34. 34.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) 1/6 (d) −2/12
  35. 35.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −8/20 (c) −5/2 (d) −2/5
  36. 36.What is 3/7 − (−1/2)? (a) 13/14 (b) −13/14 (c) 4/9 (d) −1/14
  37. 37.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−4/5) − 2/9? (a) −26/45 (b) −46/45 (c) 46/45 (d) −3/7
  39. 39.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  40. 40.What is (−4/5) + (−1/5)? (a) 1 (b) −3/5 (c) −1/2 (d) −1

Answer key

  1. −8/9
  2. 0
  3. Positive
  4. 0
  5. −11/15
  6. −2/5
  7. 17/14
  8. 2/9
  9. 7/3
  10. 1/2
  11. 41/56
  12. −3/4
  13. −26/45
  14. Positive
  15. −4/7
  16. −1/3
  17. −9/8
  18. −5/9
  19. 7/9
  20. −1/7
  21. −7/8
  22. −7/8
  23. 7/6
  24. 6/7
  25. −3/56
  26. −5/7
  27. 3/8
  28. −3/5
  29. −2/3
  30. −2/9
  31. −25/56
  32. 31/63
  33. −4/9
  34. −1/6
  35. −2/5
  36. 13/14
  37. Negative
  38. −46/45
  39. −3
  40. −1

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