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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 290 · 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.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −12/28 (d) −3/7
  2. 2.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −10/12 (d) −6/5
  3. 3.What is 3/5 + (−1/8)? (a) 29/40 (b) 2/13 (c) 19/40 (d) −19/40
  4. 4.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  5. 5.What is (−1/7) − 4/7? (a) 5/7 (b) 3/7 (c) −5/7 (d) −5/14
  6. 6.Is −5/2 positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −8/9 or −1/3? (a) −1/3 (b) −8/9
  8. 8.What is (−1/9) + 1/7? (a) −2/63 (b) 0 (c) 2/63 (d) −16/63
  9. 9.Which is smaller: −4/9 or −2/9? (a) −2/9 (b) −4/9
  10. 10.What is (−1/8) + (−3/4)? (a) −7/8 (b) −1/3 (c) 7/8 (d) 5/8
  11. 11.Which is smaller: −7/9 or 1/6? (a) −7/9 (b) 1/6
  12. 12.Is 9/5 positive or negative? (a) Positive (b) Negative
  13. 13.Write −6/18 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −6/18
  14. 14.What is (−4/5) + (−1/7)? (a) 33/35 (b) −23/35 (c) −5/12 (d) −33/35
  15. 15.What is (−5/6) + (−3/8)? (a) −29/24 (b) 29/24 (c) −4/7 (d) −11/24
  16. 16.What is the additive inverse of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  17. 17.What is (−1/5) + 5/7? (a) 1/3 (b) −32/35 (c) −18/35 (d) 18/35
  18. 18.Which is smaller: −5/9 or −3/5? (a) −3/5 (b) −5/9
  19. 19.What is 1/7 + (−2/9)? (a) −1/16 (b) 5/63 (c) −5/63 (d) 23/63
  20. 20.Which is smaller: −7/9 or 1/7? (a) 1/7 (b) −7/9
  21. 21.What is (−7/8) − 1/7? (a) −8/15 (b) −57/56 (c) 57/56 (d) −41/56
  22. 22.What is 6/7 + (−2/5)? (a) −16/35 (b) 16/35 (c) 1/3 (d) 44/35
  23. 23.What is 1/2 + (−5/9)? (a) −1/18 (b) 1/18 (c) −4/11 (d) 19/18
  24. 24.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−3/8) + 7/8? (a) −5/4 (b) 1/4 (c) −1/2 (d) 1/2
  26. 26.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) 1/7 (c) −7/1 (d) −1/7
  27. 27.What is the additive inverse of −3/7? (a) −7/3 (b) 3/7 (c) −3/7 (d) 7/3
  28. 28.What is (−3/4) − 2/3? (a) −5/7 (b) −17/12 (c) 17/12 (d) −1/12
  29. 29.What is 1/2 + (−4/5)? (a) 13/10 (b) −3/10 (c) −3/7 (d) 3/10
  30. 30.What is the additive inverse of 5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  31. 31.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −8/12
  32. 32.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −20/25 (d) −4/5
  33. 33.Which is bigger: −1/7 or −1/3? (a) −1/7 (b) −1/3
  34. 34.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  35. 35.What is (−1/6) + (−4/9)? (a) 5/18 (b) −1/3 (c) 11/18 (d) −11/18
  36. 36.Write −32/36 in standard form (lowest terms, positive denominator). (a) −32/36 (b) 8/9 (c) −9/8 (d) −8/9
  37. 37.What is 3/4 − (−7/9)? (a) −55/36 (b) −1/36 (c) 10/13 (d) 55/36
  38. 38.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) 5/9 (c) −9/5 (d) −5/9
  39. 39.What is 5/7 − (−6/7)? (a) −11/7 (b) 11/7 (c) 11/14 (d) −1/7
  40. 40.Which is smaller: −1/9 or −6/7? (a) −6/7 (b) −1/9

Answer key

  1. −3/7
  2. −5/6
  3. 19/40
  4. 5/8
  5. −5/7
  6. Negative
  7. −1/3
  8. 2/63
  9. −4/9
  10. −7/8
  11. −7/9
  12. Positive
  13. −1/3
  14. −33/35
  15. −29/24
  16. −1/8
  17. 18/35
  18. −3/5
  19. −5/63
  20. −7/9
  21. −57/56
  22. 16/35
  23. −1/18
  24. Negative
  25. 1/2
  26. −1/7
  27. 3/7
  28. −17/12
  29. −3/10
  30. −5/6
  31. −2/3
  32. −4/5
  33. −1/7
  34. −5/4
  35. −11/18
  36. −8/9
  37. 55/36
  38. −5/9
  39. 11/7
  40. −6/7

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