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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 269 · 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.Which is smaller: −5/7 or 3/8? (a) 3/8 (b) −5/7
  2. 2.What is (−6/7) − 3/7? (a) 9/7 (b) −9/14 (c) −9/7 (d) −3/7
  3. 3.What is (−2/3) + 3/5? (a) −19/15 (b) 1/15 (c) 1/8 (d) −1/15
  4. 4.Which is bigger: −1/4 or 1/5? (a) −1/4 (b) 1/5
  5. 5.Which is bigger: −4/5 or −5/6? (a) −5/6 (b) −4/5
  6. 6.What is 4/9 + (−3/7)? (a) 1/63 (b) 55/63 (c) 1/16 (d) −1/63
  7. 7.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −25/40 (d) −8/5
  8. 8.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  9. 9.What is (−2/9) + (−3/5)? (a) −37/45 (b) 17/45 (c) 37/45 (d) −5/14
  10. 10.Write −12/14 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −12/14
  11. 11.What is the additive inverse of −5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  12. 12.Is −5/9 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−7/8) + 7/9? (a) −119/72 (b) 0 (c) −7/72 (d) 7/72
  14. 14.What is (−2/5) − 1/7? (a) 19/35 (b) −9/35 (c) −19/35 (d) −1/4
  15. 15.What is 5/9 − (−1/6)? (a) 2/5 (b) 7/18 (c) 13/18 (d) −13/18
  16. 16.What is (−2/9) − (−3/8)? (a) 1/17 (b) −43/72 (c) 11/72 (d) −11/72
  17. 17.What is (−2/5) + 1/7? (a) −1/12 (b) −9/35 (c) −19/35 (d) 9/35
  18. 18.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  19. 19.What is 3/8 + (−2/9)? (a) 1/17 (b) −11/72 (c) 11/72 (d) 43/72
  20. 20.What is (−6/7) − (−5/9)? (a) −89/63 (b) −1/16 (c) 19/63 (d) −19/63
  21. 21.Which is bigger: −5/9 or 2/3? (a) −5/9 (b) 2/3
  22. 22.Which is smaller: −1/9 or 5/6? (a) 5/6 (b) −1/9
  23. 23.What is 1/9 + (−3/5)? (a) 22/45 (b) −1/7 (c) 32/45 (d) −22/45
  24. 24.What is the additive inverse of −5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  25. 25.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −6/5 (d) −5/6
  26. 26.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −2/8 (c) −1/4 (d) −4/1
  27. 27.Is 5/4 positive or negative? (a) Negative (b) Positive
  28. 28.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  29. 29.What is 3/8 + (−1/9)? (a) 2/17 (b) 35/72 (c) −19/72 (d) 19/72
  30. 30.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −8/12 (d) −2/3
  31. 31.What is (−1/5) − (−1/7)? (a) 2/35 (b) −12/35 (c) 0 (d) −2/35
  32. 32.What is (−3/7) − (−3/4)? (a) −9/28 (b) 9/28 (c) 0 (d) −33/28
  33. 33.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  34. 34.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  35. 35.What is 5/6 − (−3/4)? (a) 1/12 (b) 19/12 (c) 4/5 (d) −19/12
  36. 36.Write −28/32 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −28/32 (c) −7/8 (d) 7/8
  37. 37.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  38. 38.Which is bigger: −3/4 or −2/9? (a) −2/9 (b) −3/4
  39. 39.Which is bigger: −3/8 or −4/7? (a) −3/8 (b) −4/7
  40. 40.What is (−3/4) + (−8/9)? (a) −11/13 (b) −59/36 (c) 59/36 (d) 5/36

Answer key

  1. −5/7
  2. −9/7
  3. −1/15
  4. 1/5
  5. −4/5
  6. 1/63
  7. −5/8
  8. −3/8
  9. −37/45
  10. −6/7
  11. 5/9
  12. Negative
  13. −7/72
  14. −19/35
  15. 13/18
  16. 11/72
  17. −9/35
  18. −7/2
  19. 11/72
  20. −19/63
  21. 2/3
  22. −1/9
  23. −22/45
  24. 5/8
  25. −5/6
  26. −1/4
  27. Positive
  28. −5/4
  29. 19/72
  30. −2/3
  31. −2/35
  32. 9/28
  33. −4/3
  34. 7/6
  35. 19/12
  36. −7/8
  37. −5
  38. −2/9
  39. −3/8
  40. −59/36

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