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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 371 · 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.What is 4/9 + (−1/5)? (a) 11/45 (b) −11/45 (c) 3/14 (d) 29/45
  2. 2.Which is bigger: −4/9 or −1/8? (a) −4/9 (b) −1/8
  3. 3.What is the additive inverse of 2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  4. 4.What is (−1/3) + 2/7? (a) 1/10 (b) −13/21 (c) −1/21 (d) 1/21
  5. 5.What is (−8/9) − (−1/7)? (a) −7/16 (b) −47/63 (c) −65/63 (d) 47/63
  6. 6.Which is bigger: −3/8 or −1/3? (a) −3/8 (b) −1/3
  7. 7.What is the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  8. 8.Which is bigger: −1/9 or −3/4? (a) −1/9 (b) −3/4
  9. 9.Which is smaller: −2/3 or 1/4? (a) −2/3 (b) 1/4
  10. 10.What is (−2/5) − 5/8? (a) −7/13 (b) 9/40 (c) 41/40 (d) −41/40
  11. 11.Which is bigger: −8/9 or −3/4? (a) −8/9 (b) −3/4
  12. 12.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  13. 13.What is 1/3 − (−3/4)? (a) −5/12 (b) −13/12 (c) 4/7 (d) 13/12
  14. 14.Which is bigger: −1/3 or −5/8? (a) −5/8 (b) −1/3
  15. 15.Which is smaller: −1/3 or 4/5? (a) 4/5 (b) −1/3
  16. 16.What is (−4/5) + (−1/6)? (a) −5/11 (b) −19/30 (c) 29/30 (d) −29/30
  17. 17.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  18. 18.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  19. 19.Is 4/8 positive or negative? (a) Positive (b) Negative
  20. 20.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−1/6) + 5/7? (a) −37/42 (b) 4/13 (c) 23/42 (d) −23/42
  22. 22.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 1/9 (d) 9
  23. 23.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  24. 24.What is 2/7 − (−8/9)? (a) 5/8 (b) 74/63 (c) −38/63 (d) −74/63
  25. 25.What is (−2/5) − 7/8? (a) −9/13 (b) −51/40 (c) 19/40 (d) 51/40
  26. 26.Which is smaller: −8/9 or −3/7? (a) −3/7 (b) −8/9
  27. 27.Is −8/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.Write −5/25 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/25 (c) −5/1 (d) −1/5
  29. 29.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  30. 30.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −2/6 (c) −3/1 (d) −1/3
  31. 31.Which is smaller: −1/7 or −1/3? (a) −1/3 (b) −1/7
  32. 32.What is (−5/8) + 1/7? (a) 27/56 (b) −43/56 (c) −27/56 (d) −4/15
  33. 33.What is (−3/5) + (−1/6)? (a) −13/30 (b) 23/30 (c) −23/30 (d) −4/11
  34. 34.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −6/12 (b) 1/2 (c) −1/2 (d) −2/1
  35. 35.What is the additive inverse of −1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  36. 36.Which is bigger: −4/9 or 2/3? (a) −4/9 (b) 2/3
  37. 37.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  38. 38.What is (−3/7) + 4/7? (a) −1/7 (b) 1/14 (c) 1/7 (d) −1
  39. 39.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  40. 40.Is −3/(−3) positive or negative? (a) Negative (b) Positive

Answer key

  1. 11/45
  2. −1/8
  3. −2/9
  4. −1/21
  5. −47/63
  6. −1/3
  7. 1/7
  8. −1/9
  9. −2/3
  10. −41/40
  11. −3/4
  12. −6
  13. 13/12
  14. −1/3
  15. −1/3
  16. −29/30
  17. 5
  18. Positive
  19. Positive
  20. Negative
  21. 23/42
  22. 9
  23. 2/7
  24. 74/63
  25. −51/40
  26. −8/9
  27. Positive
  28. −1/5
  29. Positive
  30. −1/3
  31. −1/3
  32. −27/56
  33. −23/30
  34. −1/2
  35. 1/5
  36. 2/3
  37. 5/3
  38. 1/7
  39. −2/5
  40. Positive

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