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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 205 · 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 (−5/7) + 1/6? (a) −4/13 (b) −23/42 (c) 23/42 (d) −37/42
  2. 2.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) 1/7 (c) −7/1 (d) −1/7
  3. 3.Is −2/4 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−4/5) + (−3/8)? (a) −7/13 (b) −17/40 (c) −47/40 (d) 47/40
  5. 5.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −1/3 (d) −3/1
  6. 6.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  7. 7.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −9/15
  8. 8.What is (−6/7) + 5/6? (a) 1/42 (b) −71/42 (c) −1/13 (d) −1/42
  9. 9.What is 8/9 − (−4/5)? (a) 4/45 (b) −76/45 (c) 6/7 (d) 76/45
  10. 10.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  11. 11.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  12. 12.Which is bigger: −3/8 or −3/4? (a) −3/8 (b) −3/4
  13. 13.Which is smaller: −2/9 or 1/7? (a) −2/9 (b) 1/7
  14. 14.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−1/6) + (−3/4)? (a) −2/5 (b) −11/12 (c) 7/12 (d) 11/12
  16. 16.Which is bigger: −2/7 or −1/7? (a) −1/7 (b) −2/7
  17. 17.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  18. 18.What is 1/3 − (−1/6)? (a) −1/2 (b) 1/6 (c) 2/9 (d) 1/2
  19. 19.What is the additive inverse of 4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  20. 20.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  21. 21.Which is bigger: −1/8 or 5/9? (a) −1/8 (b) 5/9
  22. 22.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −21/24 (b) 7/8 (c) −8/7 (d) −7/8
  23. 23.What is (−1/9) + (−5/9)? (a) 4/9 (b) −1/3 (c) 2/3 (d) −2/3
  24. 24.What is (−3/7) + (−1/5)? (a) 22/35 (b) −1/3 (c) −22/35 (d) −8/35
  25. 25.What is 5/6 − (−3/5)? (a) 43/30 (b) 7/30 (c) 8/11 (d) −43/30
  26. 26.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −3/9 (d) −1/3
  27. 27.What is (−7/9) + 5/8? (a) −101/72 (b) −2/17 (c) 11/72 (d) −11/72
  28. 28.What is (−8/9) + 1/9? (a) 7/9 (b) −1 (c) −7/18 (d) −7/9
  29. 29.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  30. 30.What is (−1/4) + (−6/7)? (a) −7/11 (b) 31/28 (c) 17/28 (d) −31/28
  31. 31.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −2/8 (c) 1/4 (d) −1/4
  32. 32.Write −42/54 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −42/54 (c) −7/9 (d) 7/9
  33. 33.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  34. 34.Write −15/35 in standard form (lowest terms, positive denominator). (a) −15/35 (b) −3/7 (c) −7/3 (d) 3/7
  35. 35.Which is bigger: −1/6 or 2/9? (a) −1/6 (b) 2/9
  36. 36.What is (−1/2) + 1/9? (a) −11/18 (b) 0 (c) −7/18 (d) 7/18
  37. 37.What is 1/9 + (−1/2)? (a) −7/18 (b) 0 (c) 11/18 (d) 7/18
  38. 38.Which is smaller: −1/7 or −1/4? (a) −1/7 (b) −1/4
  39. 39.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −4/12 (d) −1/3
  40. 40.Which is smaller: −2/5 or −3/4? (a) −2/5 (b) −3/4

Answer key

  1. −23/42
  2. −1/7
  3. Negative
  4. −47/40
  5. −1/3
  6. Positive
  7. −3/5
  8. −1/42
  9. 76/45
  10. 3/2
  11. −6
  12. −3/8
  13. −2/9
  14. Negative
  15. −11/12
  16. −1/7
  17. −2
  18. 1/2
  19. −4/5
  20. −1/4
  21. 5/9
  22. −7/8
  23. −2/3
  24. −22/35
  25. 43/30
  26. −1/3
  27. −11/72
  28. −7/9
  29. 7/3
  30. −31/28
  31. −1/4
  32. −7/9
  33. 2/3
  34. −3/7
  35. 2/9
  36. −7/18
  37. −7/18
  38. −1/4
  39. −1/3
  40. −3/4

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