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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 38 · 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 1/7 − (−1/2)? (a) −9/14 (b) 2/9 (c) −5/14 (d) 9/14
  2. 2.Which is bigger: −3/5 or −4/5? (a) −4/5 (b) −3/5
  3. 3.What is (−6/7) − 6/7? (a) −12/7 (b) −6/7 (c) 12/7 (d) 0
  4. 4.What is 1/2 − (−5/7)? (a) −3/14 (b) 2/3 (c) −17/14 (d) 17/14
  5. 5.What is 2/7 + (−5/9)? (a) −3/16 (b) −17/63 (c) 17/63 (d) 53/63
  6. 6.Which is smaller: −2/5 or −2/9? (a) −2/9 (b) −2/5
  7. 7.Which is smaller: −1/9 or 1/2? (a) −1/9 (b) 1/2
  8. 8.Is −9/8 positive or negative? (a) Positive (b) Negative
  9. 9.Which is bigger: −5/6 or −1/7? (a) −1/7 (b) −5/6
  10. 10.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −4/28
  11. 11.What is 1/5 + (−1/4)? (a) 0 (b) 9/20 (c) −1/20 (d) 1/20
  12. 12.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  13. 13.Is −4/3 positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −1/2 or −3/5? (a) −3/5 (b) −1/2
  15. 15.Is 5/4 positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −4/7 or −3/8? (a) −3/8 (b) −4/7
  17. 17.What is (−4/5) − (−2/5)? (a) −1/5 (b) −6/5 (c) 2/5 (d) −2/5
  18. 18.Which is bigger: −1/6 or −3/4? (a) −1/6 (b) −3/4
  19. 19.Which is bigger: −1/4 or 1/8? (a) 1/8 (b) −1/4
  20. 20.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) −7/3 (c) −3/7 (d) 3/7
  21. 21.Write −32/36 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −32/36 (d) −9/8
  22. 22.What is (−6/7) + (−4/9)? (a) 82/63 (b) −82/63 (c) −26/63 (d) −5/8
  23. 23.What is the additive inverse of 3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  24. 24.Which is bigger: −4/7 or −3/4? (a) −4/7 (b) −3/4
  25. 25.What is (−5/6) + 2/5? (a) 13/30 (b) −3/11 (c) −13/30 (d) −37/30
  26. 26.Is 4/3 positive or negative? (a) Positive (b) Negative
  27. 27.What is 4/5 − (−2/5)? (a) 6/5 (b) 2/5 (c) 3/5 (d) −6/5
  28. 28.Which is smaller: −1/5 or −5/8? (a) −1/5 (b) −5/8
  29. 29.Which is smaller: −1/8 or 3/5? (a) −1/8 (b) 3/5
  30. 30.What is 1/6 + (−1/4)? (a) 1/12 (b) 5/12 (c) −1/12 (d) 0
  31. 31.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  32. 32.What is (−8/9) − 3/5? (a) 67/45 (b) −13/45 (c) −67/45 (d) −11/14
  33. 33.Which is smaller: −3/7 or −8/9? (a) −3/7 (b) −8/9
  34. 34.What is the reciprocal (multiplicative inverse) of −1/7? (a) −1/7 (b) 7 (c) 1/7 (d) −7
  35. 35.What is (−2/3) − 1/6? (a) 5/6 (b) −5/6 (c) −1/2 (d) −1/3
  36. 36.What is (−3/7) − 2/5? (a) 29/35 (b) −5/12 (c) −1/35 (d) −29/35
  37. 37.What is 4/9 − (−7/9)? (a) −11/9 (b) −1/3 (c) 11/18 (d) 11/9
  38. 38.What is (−7/9) − (−7/8)? (a) −119/72 (b) 7/72 (c) 0 (d) −7/72
  39. 39.What is (−8/9) − 1/4? (a) −9/13 (b) −23/36 (c) −41/36 (d) 41/36
  40. 40.Which is smaller: −1/8 or −1/7? (a) −1/8 (b) −1/7

Answer key

  1. 9/14
  2. −3/5
  3. −12/7
  4. 17/14
  5. −17/63
  6. −2/5
  7. −1/9
  8. Negative
  9. −1/7
  10. −1/7
  11. −1/20
  12. −5/8
  13. Negative
  14. −1/2
  15. Positive
  16. −4/7
  17. −2/5
  18. −1/6
  19. 1/8
  20. −3/7
  21. −8/9
  22. −82/63
  23. −3/7
  24. −4/7
  25. −13/30
  26. Positive
  27. 6/5
  28. −5/8
  29. −1/8
  30. −1/12
  31. 9/7
  32. −67/45
  33. −8/9
  34. −7
  35. −5/6
  36. −29/35
  37. 11/9
  38. 7/72
  39. −41/36
  40. −1/7

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