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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 48 · 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 7/8 + (−1/7)? (a) −41/56 (b) 57/56 (c) 41/56 (d) 2/5
  2. 2.What is (−7/8) + 3/4? (a) 1/8 (b) −13/8 (c) −1/3 (d) −1/8
  3. 3.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  4. 4.Is 3/5 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−4/9) − (−5/9)? (a) 1/18 (b) −1 (c) 1/9 (d) −1/9
  6. 6.What is (−1/2) + (−1/3)? (a) −1/6 (b) 5/6 (c) −2/5 (d) −5/6
  7. 7.What is (−2/3) − 5/9? (a) −1/9 (b) −7/12 (c) −11/9 (d) 11/9
  8. 8.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  9. 9.What is (−4/9) − 3/5? (a) −47/45 (b) 47/45 (c) −1/2 (d) 7/45
  10. 10.What is (−5/7) + 6/7? (a) 1/14 (b) 1/7 (c) −11/7 (d) −1/7
  11. 11.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −15/24
  12. 12.Which is smaller: −1/4 or 1/7? (a) −1/4 (b) 1/7
  13. 13.What is 1/3 − (−4/5)? (a) −17/15 (b) 17/15 (c) 5/8 (d) −7/15
  14. 14.Which is smaller: −3/7 or −5/9? (a) −3/7 (b) −5/9
  15. 15.Which is bigger: −5/7 or −1/5? (a) −5/7 (b) −1/5
  16. 16.What is 2/3 + (−5/6)? (a) 1/6 (b) 3/2 (c) −1/3 (d) −1/6
  17. 17.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−5/7) + 3/8? (a) −19/56 (b) −2/15 (c) −61/56 (d) 19/56
  19. 19.What is (−1/8) − 5/9? (a) 49/72 (b) −6/17 (c) −49/72 (d) 31/72
  20. 20.What is (−3/5) + 6/7? (a) −9/35 (b) −51/35 (c) 1/4 (d) 9/35
  21. 21.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −21/27 (c) 7/9 (d) −7/9
  22. 22.Which is bigger: −1/9 or −4/7? (a) −1/9 (b) −4/7
  23. 23.What is 3/7 + (−5/7)? (a) 2/7 (b) 8/7 (c) −2/7 (d) −1/7
  24. 24.Which is bigger: −7/8 or 2/5? (a) −7/8 (b) 2/5
  25. 25.What is the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  26. 26.What is (−2/3) − (−8/9)? (a) −2/9 (b) −14/9 (c) 2/9 (d) 1/2
  27. 27.Write −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −2/12 (c) −6/1 (d) 1/6
  28. 28.What is (−1/3) + 5/8? (a) −7/24 (b) −23/24 (c) 7/24 (d) 4/11
  29. 29.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −4/20 (d) 1/5
  30. 30.Which is bigger: −1/3 or −5/9? (a) −1/3 (b) −5/9
  31. 31.What is 5/9 + (−5/9)? (a) 0 (b) 10/9
  32. 32.What is (−3/8) + (−1/7)? (a) 29/56 (b) −4/15 (c) −13/56 (d) −29/56
  33. 33.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  34. 34.Which is smaller: −7/9 or −4/7? (a) −7/9 (b) −4/7
  35. 35.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−6/7) − 1/5? (a) 37/35 (b) −23/35 (c) −37/35 (d) −7/12
  37. 37.Which is bigger: −3/5 or −1/6? (a) −1/6 (b) −3/5
  38. 38.Write −3/6 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −3/6 (d) 1/2
  39. 39.Which is smaller: −3/4 or 7/8? (a) −3/4 (b) 7/8
  40. 40.Which is bigger: −3/4 or 2/5? (a) 2/5 (b) −3/4

Answer key

  1. 41/56
  2. −1/8
  3. Negative
  4. Positive
  5. 1/9
  6. −5/6
  7. −11/9
  8. 9/8
  9. −47/45
  10. 1/7
  11. −5/8
  12. −1/4
  13. 17/15
  14. −5/9
  15. −1/5
  16. −1/6
  17. Positive
  18. −19/56
  19. −49/72
  20. 9/35
  21. −7/9
  22. −1/9
  23. −2/7
  24. 2/5
  25. 3/4
  26. 2/9
  27. −1/6
  28. 7/24
  29. −1/5
  30. −1/3
  31. 0
  32. −29/56
  33. −4/7
  34. −7/9
  35. Negative
  36. −37/35
  37. −1/6
  38. −1/2
  39. −3/4
  40. 2/5

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