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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 351 · 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 1/2 − (−1/6)? (a) −2/3 (b) 1/3 (c) 1/4 (d) 2/3
  2. 2.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −15/21 (d) −5/7
  3. 3.What is 1/4 + (−2/5)? (a) −1/9 (b) 13/20 (c) 3/20 (d) −3/20
  4. 4.What is (−4/5) + 1/9? (a) 31/45 (b) −31/45 (c) −3/14 (d) −41/45
  5. 5.What is (−2/5) + (−2/9)? (a) −8/45 (b) −2/7 (c) 28/45 (d) −28/45
  6. 6.Write −10/25 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −10/25 (c) 2/5 (d) −5/2
  7. 7.What is (−5/6) + 2/5? (a) 13/30 (b) −3/11 (c) −13/30 (d) −37/30
  8. 8.Which is smaller: −5/7 or 1/5? (a) 1/5 (b) −5/7
  9. 9.What is 7/9 + (−6/7)? (a) 1/16 (b) 5/63 (c) −5/63 (d) 103/63
  10. 10.Is 9/2 positive or negative? (a) Positive (b) Negative
  11. 11.Is 3/8 positive or negative? (a) Positive (b) Negative
  12. 12.What is 3/5 − (−1/2)? (a) 4/7 (b) 1/10 (c) 11/10 (d) −11/10
  13. 13.Which is bigger: −3/5 or 5/7? (a) 5/7 (b) −3/5
  14. 14.Which is smaller: −2/7 or −1/5? (a) −2/7 (b) −1/5
  15. 15.Which is bigger: −4/9 or 1/2? (a) −4/9 (b) 1/2
  16. 16.Which is bigger: −1/7 or −7/9? (a) −7/9 (b) −1/7
  17. 17.What is (−1/5) − 5/9? (a) −3/7 (b) 34/45 (c) 16/45 (d) −34/45
  18. 18.What is (−1/2) + (−1/5)? (a) −7/10 (b) −2/7 (c) 7/10 (d) −3/10
  19. 19.Which is smaller: −5/6 or −3/8? (a) −5/6 (b) −3/8
  20. 20.Which is smaller: −1/5 or 3/4? (a) −1/5 (b) 3/4
  21. 21.What is (−1/3) + 1/6? (a) −1/2 (b) 0 (c) −1/6 (d) 1/6
  22. 22.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  23. 23.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  24. 24.Which is bigger: −7/9 or −1/6? (a) −1/6 (b) −7/9
  25. 25.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−7/9) + 2/3? (a) −5/12 (b) 1/9 (c) −1/9 (d) −13/9
  27. 27.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −6/15 (d) −5/2
  28. 28.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  29. 29.What is (−7/8) + 5/8? (a) 1/4 (b) −3/2 (c) −1/8 (d) −1/4
  30. 30.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  31. 31.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  32. 32.What is (−1/5) + 5/8? (a) 4/13 (b) −17/40 (c) 17/40 (d) −33/40
  33. 33.Which is smaller: −5/9 or 1/4? (a) −5/9 (b) 1/4
  34. 34.Is −7/9 positive or negative? (a) Positive (b) Negative
  35. 35.What is 5/7 − (−3/5)? (a) 46/35 (b) 4/35 (c) 2/3 (d) −46/35
  36. 36.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −14/18
  37. 37.What is (−3/5) − (−8/9)? (a) −67/45 (b) 13/45 (c) 5/14 (d) −13/45
  38. 38.Is −9/(−6) positive or negative? (a) Negative (b) Positive
  39. 39.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −5/45 (d) −1/9
  40. 40.What is 6/7 + (−2/9)? (a) 40/63 (b) −40/63 (c) 1/4 (d) 68/63

Answer key

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

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