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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 660 · 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 5/(−30) in standard form (lowest terms, positive denominator). (a) −5/30 (b) 1/6 (c) −1/6 (d) −6/1
  2. 2.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  3. 3.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  4. 4.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  5. 5.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −2/10 (c) 1/5 (d) −5/1
  6. 6.Which is bigger: −2/3 or −7/8? (a) −7/8 (b) −2/3
  7. 7.What is 7/8 − (−1/6)? (a) −25/24 (b) 4/7 (c) 25/24 (d) 17/24
  8. 8.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  10. 10.What is (−4/7) + (−1/3)? (a) 19/21 (b) −19/21 (c) −5/21 (d) −1/2
  11. 11.What is (−3/8) − (−2/5)? (a) −1/40 (b) −1/13 (c) 1/40 (d) −31/40
  12. 12.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) 1/9 (d) −1/9
  13. 13.What is 1/5 + (−2/5)? (a) 3/5 (b) −1/10 (c) 1/5 (d) −1/5
  14. 14.What is (−3/4) − 4/7? (a) −5/28 (b) 37/28 (c) −37/28 (d) −7/11
  15. 15.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  16. 16.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −15/20 (b) −4/3 (c) 3/4 (d) −3/4
  17. 17.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −20/36
  18. 18.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  19. 19.Which is bigger: −1/8 or −2/3? (a) −1/8 (b) −2/3
  20. 20.What is (−8/9) − 4/7? (a) −3/4 (b) 92/63 (c) −92/63 (d) −20/63
  21. 21.Write −8/12 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −8/12 (d) −3/2
  22. 22.Is −7/3 positive or negative? (a) Positive (b) Negative
  23. 23.What is (−1/9) − (−1/4)? (a) −13/36 (b) 0 (c) 5/36 (d) −5/36
  24. 24.Write −35/45 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −7/9 (d) −35/45
  25. 25.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −8/36
  26. 26.What is (−1/2) − (−3/5)? (a) 2/7 (b) 1/10 (c) −1/10 (d) −11/10
  27. 27.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  28. 28.Is 1/5 positive or negative? (a) Negative (b) Positive
  29. 29.Is 1/7 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−1/5) + (−1/4)? (a) 9/20 (b) −2/9 (c) −9/20 (d) 1/20
  31. 31.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  33. 33.What is (−3/5) − (−6/7)? (a) 1/4 (b) −51/35 (c) −9/35 (d) 9/35
  34. 34.Write −8/10 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −8/10 (c) 4/5 (d) −4/5
  35. 35.What is (−1/3) − 3/8? (a) −4/11 (b) 17/24 (c) −17/24 (d) 1/24
  36. 36.What is (−1/7) − (−1/9)? (a) −2/63 (b) 2/63 (c) 0 (d) −16/63
  37. 37.Is −1/7 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−4/7) + 3/5? (a) −41/35 (b) −1/12 (c) −1/35 (d) 1/35
  39. 39.What is 2/3 − (−1/4)? (a) −11/12 (b) 3/7 (c) 5/12 (d) 11/12
  40. 40.What is 2/9 + (−3/4)? (a) 35/36 (b) −1/13 (c) −19/36 (d) 19/36

Answer key

  1. −1/6
  2. 5/3
  3. 5/8
  4. 5/9
  5. −1/5
  6. −2/3
  7. 25/24
  8. Positive
  9. 9/4
  10. −19/21
  11. 1/40
  12. −1/9
  13. −1/5
  14. −37/28
  15. −9/2
  16. −3/4
  17. −5/9
  18. −4/3
  19. −1/8
  20. −92/63
  21. −2/3
  22. Negative
  23. 5/36
  24. −7/9
  25. −2/9
  26. 1/10
  27. Positive
  28. Positive
  29. Positive
  30. −9/20
  31. Positive
  32. 7
  33. 9/35
  34. −4/5
  35. −17/24
  36. −2/63
  37. Negative
  38. 1/35
  39. 11/12
  40. −19/36

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