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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 725 · 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 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −30/54 (d) −5/9
  2. 2.Which is smaller: −1/9 or 7/9? (a) 7/9 (b) −1/9
  3. 3.What is (−1/3) + 6/7? (a) −25/21 (b) −11/21 (c) 11/21 (d) 1/2
  4. 4.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  5. 5.What is 1/9 + (−3/4)? (a) 23/36 (b) −2/13 (c) 31/36 (d) −23/36
  6. 6.What is (−1/2) + (−5/7)? (a) −17/14 (b) 3/14 (c) −2/3 (d) 17/14
  7. 7.What is (−3/8) + 2/5? (a) −1/40 (b) −31/40 (c) −1/13 (d) 1/40
  8. 8.What is 5/6 − (−7/9)? (a) −29/18 (b) 1/18 (c) 4/5 (d) 29/18
  9. 9.Which is bigger: −5/9 or 3/4? (a) −5/9 (b) 3/4
  10. 10.Which is bigger: −2/7 or 5/9? (a) −2/7 (b) 5/9
  11. 11.What is 5/9 + (−1/4)? (a) 4/13 (b) 11/36 (c) 29/36 (d) −11/36
  12. 12.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −16/28 (c) −7/4 (d) −4/7
  13. 13.What is (−2/9) + (−6/7)? (a) 68/63 (b) −1/2 (c) −68/63 (d) 40/63
  14. 14.Which is smaller: −2/7 or −1/7? (a) −1/7 (b) −2/7
  15. 15.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  17. 17.What is (−4/7) − 1/3? (a) −5/21 (b) 19/21 (c) −19/21 (d) −1/2
  18. 18.What is the additive inverse of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  19. 19.What is (−2/5) − (−4/9)? (a) −2/45 (b) 2/45 (c) −38/45 (d) 1/7
  20. 20.What is (−3/5) − (−5/7)? (a) −46/35 (b) −4/35 (c) 4/35 (d) 1/6
  21. 21.What is 2/9 + (−1/5)? (a) 19/45 (b) 1/14 (c) −1/45 (d) 1/45
  22. 22.Write −24/54 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −24/54 (d) −4/9
  23. 23.Is −2/3 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−2/3) − (−1/5)? (a) −13/15 (b) −7/15 (c) −1/8 (d) 7/15
  25. 25.What is (−1/4) − (−1/2)? (a) 1/4 (b) 0 (c) −1/4 (d) −3/4
  26. 26.Which is smaller: −3/4 or −6/7? (a) −3/4 (b) −6/7
  27. 27.Is −8/5 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−4/5) + 5/9? (a) −11/45 (b) 1/14 (c) 11/45 (d) −61/45
  29. 29.Which is bigger: −8/9 or 2/5? (a) 2/5 (b) −8/9
  30. 30.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −6/21 (d) −7/2
  31. 31.Which is smaller: −5/8 or −1/7? (a) −1/7 (b) −5/8
  32. 32.Which is smaller: −2/5 or −5/7? (a) −2/5 (b) −5/7
  33. 33.What is 1/5 + (−1/3)? (a) 8/15 (b) 2/15 (c) −2/15 (d) 0
  34. 34.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  35. 35.What is (−1/7) − 2/7? (a) 3/7 (b) −3/14 (c) −3/7 (d) 1/7
  36. 36.What is 6/7 − (−3/7)? (a) −9/7 (b) 9/14 (c) 9/7 (d) 3/7
  37. 37.What is 5/7 − (−2/3)? (a) 1/21 (b) 29/21 (c) 7/10 (d) −29/21
  38. 38.Is 1/7 positive or negative? (a) Positive (b) Negative
  39. 39.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −1/7 or 7/9? (a) −1/7 (b) 7/9

Answer key

  1. −5/9
  2. −1/9
  3. 11/21
  4. −9/8
  5. −23/36
  6. −17/14
  7. 1/40
  8. 29/18
  9. 3/4
  10. 5/9
  11. 11/36
  12. −4/7
  13. −68/63
  14. −2/7
  15. Negative
  16. 7
  17. −19/21
  18. 2/9
  19. 2/45
  20. 4/35
  21. 1/45
  22. −4/9
  23. Negative
  24. −7/15
  25. 1/4
  26. −6/7
  27. Negative
  28. −11/45
  29. 2/5
  30. −2/7
  31. −5/8
  32. −5/7
  33. −2/15
  34. −8/3
  35. −3/7
  36. 9/7
  37. 29/21
  38. Positive
  39. Positive
  40. 7/9

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