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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 603 · 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 7/9 − (−4/7)? (a) 11/16 (b) −85/63 (c) 85/63 (d) 13/63
  2. 2.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  3. 3.What is the additive inverse of −1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  4. 4.What is (−2/9) + 3/5? (a) −17/45 (b) 17/45 (c) 1/14 (d) −37/45
  5. 5.What is (−4/5) + (−1/3)? (a) −7/15 (b) −17/15 (c) 17/15 (d) −5/8
  6. 6.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  7. 7.What is (−8/9) + 4/5? (a) −76/45 (b) 4/45 (c) −2/7 (d) −4/45
  8. 8.What is 5/7 + (−4/7)? (a) 9/7 (b) 1/7 (c) 1/14 (d) −1/7
  9. 9.Is −6/8 positive or negative? (a) Negative (b) Positive
  10. 10.What is 5/7 + (−2/5)? (a) 39/35 (b) 1/4 (c) 11/35 (d) −11/35
  11. 11.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −6/24 (d) −1/4
  12. 12.What is 2/5 − (−5/8)? (a) −9/40 (b) 7/13 (c) −41/40 (d) 41/40
  13. 13.What is 1/6 + (−3/8)? (a) −5/24 (b) 13/24 (c) 5/24 (d) −1/7
  14. 14.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −15/25
  15. 15.What is the additive inverse of 3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  16. 16.Is 2/5 positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −2/3 or −3/5? (a) −2/3 (b) −3/5
  18. 18.What is (−2/7) − (−3/5)? (a) −11/35 (b) −31/35 (c) 1/12 (d) 11/35
  19. 19.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  20. 20.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/8) + (−2/5)? (a) 11/40 (b) −3/13 (c) 21/40 (d) −21/40
  22. 22.What is 5/6 + (−6/7)? (a) 1/42 (b) −1/42 (c) −1/13 (d) 71/42
  23. 23.What is 5/9 + (−5/9)? (a) 10/9 (b) 0
  24. 24.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −21/27 (d) −9/7
  25. 25.What is (−5/7) − 4/7? (a) −9/14 (b) −1/7 (c) 9/7 (d) −9/7
  26. 26.What is the additive inverse of −3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  27. 27.What is 1/5 + (−5/8)? (a) 17/40 (b) −4/13 (c) −17/40 (d) 33/40
  28. 28.What is (−5/9) + 3/7? (a) −1/8 (b) −8/63 (c) −62/63 (d) 8/63
  29. 29.Write −12/54 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −12/54 (c) 2/9 (d) −2/9
  30. 30.Which is bigger: −4/9 or −5/9? (a) −4/9 (b) −5/9
  31. 31.What is (−1/7) + 7/8? (a) −41/56 (b) 41/56 (c) −57/56 (d) 2/5
  32. 32.What is 5/8 + (−3/4)? (a) −1/8 (b) 1/8 (c) 1/6 (d) 11/8
  33. 33.What is (−1/8) + 3/8? (a) 1/4 (b) −1/4 (c) −1/2 (d) 1/8
  34. 34.What is the additive inverse of 3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  35. 35.What is the additive inverse of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  36. 36.Which is bigger: −1/5 or −8/9? (a) −8/9 (b) −1/5
  37. 37.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  39. 39.What is (−4/9) + 4/7? (a) 8/63 (b) −64/63 (c) 0 (d) −8/63
  40. 40.Which is smaller: −5/7 or 1/3? (a) −5/7 (b) 1/3

Answer key

  1. 85/63
  2. −3
  3. 1/7
  4. 17/45
  5. −17/15
  6. −4/9
  7. −4/45
  8. 1/7
  9. Negative
  10. 11/35
  11. −1/4
  12. 41/40
  13. −5/24
  14. −3/5
  15. −3/8
  16. Positive
  17. −3/5
  18. 11/35
  19. Negative
  20. Positive
  21. −21/40
  22. −1/42
  23. 0
  24. −7/9
  25. −9/7
  26. 3/4
  27. −17/40
  28. −8/63
  29. −2/9
  30. −4/9
  31. 41/56
  32. −1/8
  33. 1/4
  34. −3/5
  35. 2/7
  36. −1/5
  37. Positive
  38. 5/8
  39. 8/63
  40. −5/7

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