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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 316 · 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 −25/35 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −25/35 (c) −5/7 (d) −7/5
  2. 2.What is (−3/7) − 1/8? (a) 31/56 (b) −31/56 (c) −4/15 (d) −17/56
  3. 3.What is 3/4 + (−7/9)? (a) −1/36 (b) 55/36 (c) 1/36 (d) −4/13
  4. 4.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −2/10
  5. 5.What is (−1/9) + (−1/7)? (a) −16/63 (b) −1/8 (c) 2/63 (d) 16/63
  6. 6.What is (−1/4) + 2/9? (a) −1/36 (b) 1/36 (c) −17/36 (d) 1/13
  7. 7.Write −15/35 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −15/35 (c) −7/3 (d) −3/7
  8. 8.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  9. 9.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−7/9) − 3/7? (a) −5/8 (b) −22/63 (c) −76/63 (d) 76/63
  11. 11.What is 1/9 − (−1/2)? (a) −11/18 (b) −7/18 (c) 11/18 (d) 2/11
  12. 12.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  13. 13.Which is bigger: −2/9 or 6/7? (a) −2/9 (b) 6/7
  14. 14.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −9/12 (b) −3/4 (c) −4/3 (d) 3/4
  15. 15.What is (−1/4) − (−4/7)? (a) 3/11 (b) −9/28 (c) 9/28 (d) −23/28
  16. 16.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −15/24 (d) −5/8
  17. 17.Which is bigger: −3/7 or −2/5? (a) −3/7 (b) −2/5
  18. 18.Which is smaller: −1/4 or 1/2? (a) 1/2 (b) −1/4
  19. 19.Is 8/(−6) positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of −4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  21. 21.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  22. 22.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  23. 23.Write −4/6 in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) 2/3 (d) −3/2
  24. 24.Is −7/2 positive or negative? (a) Negative (b) Positive
  25. 25.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) 5/9 (c) −9/5 (d) −5/9
  26. 26.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −4/6 (d) −2/3
  27. 27.What is (−1/7) + (−1/8)? (a) 15/56 (b) −2/15 (c) −1/56 (d) −15/56
  28. 28.Is 4/9 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−8/9) − (−2/3)? (a) −1/2 (b) −14/9 (c) 2/9 (d) −2/9
  30. 30.Is 5/3 positive or negative? (a) Negative (b) Positive
  31. 31.Which is smaller: −2/7 or −4/5? (a) −2/7 (b) −4/5
  32. 32.Which is bigger: −3/8 or −1/6? (a) −1/6 (b) −3/8
  33. 33.Is −9/6 positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −1/5 or −5/9? (a) −1/5 (b) −5/9
  35. 35.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−3/5) + (−1/2)? (a) −1/10 (b) −4/7 (c) 11/10 (d) −11/10
  37. 37.Which is bigger: −1/8 or 5/6? (a) −1/8 (b) 5/6
  38. 38.What is (−4/5) + (−3/4)? (a) 31/20 (b) −31/20 (c) −7/9 (d) −1/20
  39. 39.What is (−3/5) − 2/7? (a) −11/35 (b) −5/12 (c) 31/35 (d) −31/35
  40. 40.What is (−2/5) + (−4/5)? (a) 2/5 (b) 6/5 (c) −6/5 (d) −3/5

Answer key

  1. −5/7
  2. −31/56
  3. −1/36
  4. −1/5
  5. −16/63
  6. −1/36
  7. −3/7
  8. −9
  9. Negative
  10. −76/63
  11. 11/18
  12. 7/2
  13. 6/7
  14. −3/4
  15. 9/28
  16. −5/8
  17. −2/5
  18. −1/4
  19. Negative
  20. 4/7
  21. −3
  22. −8/7
  23. −2/3
  24. Negative
  25. −5/9
  26. −2/3
  27. −15/56
  28. Positive
  29. −2/9
  30. Positive
  31. −4/5
  32. −1/6
  33. Negative
  34. −1/5
  35. Negative
  36. −11/10
  37. 5/6
  38. −31/20
  39. −31/35
  40. −6/5

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