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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 919 · 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 (−1/9) − 3/8? (a) −4/17 (b) 35/72 (c) 19/72 (d) −35/72
  2. 2.Which is smaller: −3/4 or −3/7? (a) −3/4 (b) −3/7
  3. 3.What is 1/8 − (−2/5)? (a) −11/40 (b) −21/40 (c) 3/13 (d) 21/40
  4. 4.What is (−3/5) − 3/8? (a) 39/40 (b) −6/13 (c) −9/40 (d) −39/40
  5. 5.Which is bigger: −2/9 or −1/2? (a) −1/2 (b) −2/9
  6. 6.What is 3/7 + (−3/5)? (a) 36/35 (b) −6/35 (c) 0 (d) 6/35
  7. 7.What is (−1/5) + 2/9? (a) −19/45 (b) −1/45 (c) 1/14 (d) 1/45
  8. 8.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  9. 9.Is 1/6 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/4) + (−5/8)? (a) 3/8 (b) 7/8 (c) −7/8 (d) −1/2
  11. 11.What is (−5/7) + (−7/9)? (a) 4/63 (b) 94/63 (c) −3/4 (d) −94/63
  12. 12.Which is bigger: −5/8 or −3/8? (a) −5/8 (b) −3/8
  13. 13.Which is bigger: −5/7 or −2/9? (a) −5/7 (b) −2/9
  14. 14.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−1/3) + (−5/9)? (a) −1/2 (b) −8/9 (c) 2/9 (d) 8/9
  16. 16.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −3/27 (d) −9/1
  17. 17.Which is smaller: −1/3 or 1/2? (a) −1/3 (b) 1/2
  18. 18.What is (−1/4) − 3/4? (a) −1 (b) −1/2 (c) 1/2 (d) 1
  19. 19.What is (−8/9) − 5/7? (a) 101/63 (b) −13/16 (c) −11/63 (d) −101/63
  20. 20.Which is smaller: −2/5 or −1/4? (a) −2/5 (b) −1/4
  21. 21.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.What is 2/9 − (−4/5)? (a) −46/45 (b) −26/45 (c) 3/7 (d) 46/45
  23. 23.Which is bigger: −1/8 or −5/9? (a) −5/9 (b) −1/8
  24. 24.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −15/25
  25. 25.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) −6/1 (c) −1/6 (d) 1/6
  26. 26.What is (−4/9) − 2/7? (a) 46/63 (b) −3/8 (c) −10/63 (d) −46/63
  27. 27.What is 1/3 + (−2/7)? (a) −1/10 (b) 13/21 (c) −1/21 (d) 1/21
  28. 28.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  29. 29.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  30. 30.What is (−3/4) − 8/9? (a) −11/13 (b) −59/36 (c) 59/36 (d) 5/36
  31. 31.What is (−1/3) + (−1/9)? (a) −2/9 (b) −4/9 (c) 4/9 (d) −1/6
  32. 32.Which is smaller: −3/4 or −1/8? (a) −1/8 (b) −3/4
  33. 33.Is −8/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  35. 35.Which is smaller: −1/4 or 6/7? (a) 6/7 (b) −1/4
  36. 36.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−4/5) + (−3/5)? (a) −7/10 (b) −7/5 (c) −1/5 (d) 7/5
  38. 38.What is the additive inverse of −1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  39. 39.Which is bigger: −5/7 or −1/3? (a) −5/7 (b) −1/3
  40. 40.Which is bigger: −7/8 or −6/7? (a) −6/7 (b) −7/8

Answer key

  1. −35/72
  2. −3/4
  3. 21/40
  4. −39/40
  5. −2/9
  6. −6/35
  7. 1/45
  8. 8/7
  9. Positive
  10. −7/8
  11. −94/63
  12. −3/8
  13. −2/9
  14. Positive
  15. −8/9
  16. −1/9
  17. −1/3
  18. −1
  19. −101/63
  20. −2/5
  21. Positive
  22. 46/45
  23. −1/8
  24. −3/5
  25. −1/6
  26. −46/63
  27. 1/21
  28. 2/3
  29. −8
  30. −59/36
  31. −4/9
  32. −3/4
  33. Negative
  34. −7/8
  35. −1/4
  36. Negative
  37. −7/5
  38. 1/7
  39. −1/3
  40. −6/7

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