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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 287 · 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: −3/5 or 8/9? (a) 8/9 (b) −3/5
  2. 2.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −4/32
  3. 3.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  4. 4.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −12/54 (d) 2/9
  5. 5.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  6. 6.Is 7/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−3/5) + (−3/4)? (a) 27/20 (b) 3/20 (c) −2/3 (d) −27/20
  8. 8.Which is smaller: −1/2 or −4/9? (a) −1/2 (b) −4/9
  9. 9.Which is bigger: −8/9 or −1/5? (a) −1/5 (b) −8/9
  10. 10.What is 7/8 + (−1/8)? (a) −3/4 (b) 3/8 (c) 1 (d) 3/4
  11. 11.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  12. 12.Write −12/16 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −12/16 (d) 3/4
  13. 13.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −10/14
  14. 14.Is 4/(−7) positive or negative? (a) Positive (b) Negative
  15. 15.Which is smaller: −3/7 or −1/6? (a) −1/6 (b) −3/7
  16. 16.What is 8/9 − (−4/5)? (a) −76/45 (b) 76/45 (c) 6/7 (d) 4/45
  17. 17.What is 7/8 − (−5/8)? (a) 3/4 (b) 3/2 (c) 1/4 (d) −3/2
  18. 18.What is 1/5 + (−3/8)? (a) 23/40 (b) 7/40 (c) −2/13 (d) −7/40
  19. 19.Which is bigger: −3/4 or −1/4? (a) −1/4 (b) −3/4
  20. 20.What is (−4/7) + 1/3? (a) 5/21 (b) −5/21 (c) −3/10 (d) −19/21
  21. 21.What is 3/4 − (−5/8)? (a) −11/8 (b) 11/8 (c) 1/8 (d) 2/3
  22. 22.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −6/14 (c) −7/3 (d) −3/7
  23. 23.What is (−8/9) − 1/3? (a) −5/9 (b) 11/9 (c) −3/4 (d) −11/9
  24. 24.What is 1/6 + (−5/9)? (a) −4/15 (b) 13/18 (c) 7/18 (d) −7/18
  25. 25.What is 2/3 − (−4/5)? (a) 3/4 (b) −2/15 (c) 22/15 (d) −22/15
  26. 26.What is 1/8 + (−2/9)? (a) −1/17 (b) 25/72 (c) 7/72 (d) −7/72
  27. 27.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −8/3 (d) −9/24
  28. 28.What is (−2/5) + 3/8? (a) 1/13 (b) 1/40 (c) −1/40 (d) −31/40
  29. 29.Write −42/54 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −42/54 (c) 7/9 (d) −7/9
  30. 30.What is (−1/4) − 1/5? (a) 9/20 (b) −9/20 (c) −1/20 (d) −2/9
  31. 31.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −8/10
  32. 32.Is −5/3 positive or negative? (a) Negative (b) Positive
  33. 33.What is 7/8 − (−2/3)? (a) 5/24 (b) 37/24 (c) −37/24 (d) 9/11
  34. 34.What is 4/9 − (−3/7)? (a) 1/63 (b) −55/63 (c) 7/16 (d) 55/63
  35. 35.Write −4/18 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −4/18 (d) 2/9
  36. 36.What is (−3/5) − (−4/7)? (a) −41/35 (b) 1/12 (c) 1/35 (d) −1/35
  37. 37.What is (−3/4) + (−1/6)? (a) 11/12 (b) −7/12 (c) −11/12 (d) −2/5
  38. 38.What is (−4/5) + 6/7? (a) 2/35 (b) −58/35 (c) −2/35 (d) 1/6
  39. 39.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of −2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2

Answer key

  1. −3/5
  2. −1/8
  3. Negative
  4. −2/9
  5. −7/3
  6. Positive
  7. −27/20
  8. −1/2
  9. −1/5
  10. 3/4
  11. Negative
  12. −3/4
  13. −5/7
  14. Negative
  15. −3/7
  16. 76/45
  17. 3/2
  18. −7/40
  19. −1/4
  20. −5/21
  21. 11/8
  22. −3/7
  23. −11/9
  24. −7/18
  25. 22/15
  26. −7/72
  27. −3/8
  28. −1/40
  29. −7/9
  30. −9/20
  31. −4/5
  32. Negative
  33. 37/24
  34. 55/63
  35. −2/9
  36. −1/35
  37. −11/12
  38. 2/35
  39. Positive
  40. 2/3

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