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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 348 · 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 (−2/9) + (−1/7)? (a) 23/63 (b) −5/63 (c) −3/16 (d) −23/63
  2. 2.Which is bigger: −1/5 or −2/3? (a) −1/5 (b) −2/3
  3. 3.Which is bigger: −5/6 or −1/5? (a) −5/6 (b) −1/5
  4. 4.Which is smaller: −3/8 or −1/8? (a) −1/8 (b) −3/8
  5. 5.Which is bigger: −1/9 or −7/8? (a) −1/9 (b) −7/8
  6. 6.What is 2/9 + (−5/8)? (a) 61/72 (b) −3/17 (c) −29/72 (d) 29/72
  7. 7.Which is smaller: −3/4 or 2/7? (a) 2/7 (b) −3/4
  8. 8.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) 1/3 (d) −3/1
  9. 9.What is (−3/7) + 2/7? (a) 1/7 (b) −5/7 (c) −1/7 (d) −1/14
  10. 10.What is 2/3 − (−5/6)? (a) 3/2 (b) −1/6 (c) −3/2 (d) 7/9
  11. 11.What is (−3/5) + 1/5? (a) −4/5 (b) 2/5 (c) −2/5 (d) −1/5
  12. 12.Is 6/3 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/4) − 1/4? (a) 0 (b) 1/2 (c) −1/4 (d) −1/2
  14. 14.Which is smaller: −7/8 or −5/6? (a) −5/6 (b) −7/8
  15. 15.What is 1/7 − (−5/6)? (a) 6/13 (b) −41/42 (c) −29/42 (d) 41/42
  16. 16.Which is bigger: −3/7 or −4/7? (a) −3/7 (b) −4/7
  17. 17.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  18. 18.What is (−7/8) − 3/7? (a) −73/56 (b) 73/56 (c) −2/3 (d) −25/56
  19. 19.Which is bigger: −5/6 or −5/7? (a) −5/7 (b) −5/6
  20. 20.Is 7/9 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  22. 22.Which is smaller: −5/6 or −1/3? (a) −1/3 (b) −5/6
  23. 23.What is (−1/5) + 2/7? (a) 1/12 (b) −17/35 (c) −3/35 (d) 3/35
  24. 24.Is 5/9 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/5) + (−3/7)? (a) −1/2 (b) −36/35 (c) 36/35 (d) −6/35
  26. 26.Write −24/54 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −24/54 (d) 4/9
  27. 27.Write −30/54 in standard form (lowest terms, positive denominator). (a) −30/54 (b) −9/5 (c) 5/9 (d) −5/9
  28. 28.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of −4/7? (a) −7/4 (b) 7/4 (c) 4/7 (d) −4/7
  30. 30.Which is bigger: −4/5 or −7/9? (a) −4/5 (b) −7/9
  31. 31.Which is bigger: −1/6 or −4/5? (a) −1/6 (b) −4/5
  32. 32.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  33. 33.Which is bigger: −4/5 or −3/5? (a) −4/5 (b) −3/5
  34. 34.Is 2/3 positive or negative? (a) Positive (b) Negative
  35. 35.What is 1/5 − (−3/7)? (a) 1/3 (b) −22/35 (c) 22/35 (d) −8/35
  36. 36.What is 7/9 − (−4/5)? (a) 11/14 (b) −1/45 (c) −71/45 (d) 71/45
  37. 37.What is (−2/3) + 5/7? (a) −29/21 (b) 1/21 (c) 3/10 (d) −1/21
  38. 38.What is (−1/3) + (−1/8)? (a) −5/24 (b) −2/11 (c) −11/24 (d) 11/24
  39. 39.What is 4/9 + (−4/7)? (a) 64/63 (b) −8/63 (c) 0 (d) 8/63
  40. 40.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) 1/2 (d) −2/4

Answer key

  1. −23/63
  2. −1/5
  3. −1/5
  4. −3/8
  5. −1/9
  6. −29/72
  7. −3/4
  8. −1/3
  9. −1/7
  10. 3/2
  11. −2/5
  12. Positive
  13. −1/2
  14. −7/8
  15. 41/42
  16. −3/7
  17. −1/5
  18. −73/56
  19. −5/7
  20. Positive
  21. −7/3
  22. −5/6
  23. 3/35
  24. Positive
  25. −36/35
  26. −4/9
  27. −5/9
  28. Positive
  29. 4/7
  30. −7/9
  31. −1/6
  32. Negative
  33. −3/5
  34. Positive
  35. 22/35
  36. 71/45
  37. 1/21
  38. −11/24
  39. −8/63
  40. −1/2

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