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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 523 · 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 the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  2. 2.What is 4/7 − (−2/9)? (a) −50/63 (b) 22/63 (c) 3/8 (d) 50/63
  3. 3.What is (−2/3) + (−4/9)? (a) −1/2 (b) −10/9 (c) 10/9 (d) −2/9
  4. 4.What is the additive inverse of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  5. 5.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −9/15
  6. 6.What is (−1/4) − (−6/7)? (a) 17/28 (b) 5/11 (c) −17/28 (d) −31/28
  7. 7.Which is smaller: −8/9 or 4/5? (a) −8/9 (b) 4/5
  8. 8.Which is smaller: −3/5 or −1/4? (a) −1/4 (b) −3/5
  9. 9.What is the additive inverse of 2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  10. 10.What is (−3/7) − (−3/5)? (a) −6/35 (b) 0 (c) 6/35 (d) −36/35
  11. 11.Is −3/6 positive or negative? (a) Negative (b) Positive
  12. 12.What is 1/3 − (−7/9)? (a) −4/9 (b) 10/9 (c) 2/3 (d) −10/9
  13. 13.What is 2/9 − (−2/5)? (a) 2/7 (b) 28/45 (c) −28/45 (d) −8/45
  14. 14.What is 4/9 + (−7/8)? (a) 95/72 (b) −31/72 (c) 31/72 (d) −3/17
  15. 15.What is the additive inverse of 2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  16. 16.Which is smaller: −5/7 or −5/8? (a) −5/8 (b) −5/7
  17. 17.Which is smaller: −3/7 or −6/7? (a) −6/7 (b) −3/7
  18. 18.Which is bigger: −5/8 or −3/5? (a) −5/8 (b) −3/5
  19. 19.Write −32/36 in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −32/36
  20. 20.Which is bigger: −5/6 or −2/3? (a) −5/6 (b) −2/3
  21. 21.What is (−5/9) + 3/7? (a) −8/63 (b) −62/63 (c) 8/63 (d) −1/8
  22. 22.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −3/21 (c) 1/7 (d) −1/7
  23. 23.Which is smaller: −1/4 or 5/8? (a) 5/8 (b) −1/4
  24. 24.Write −20/36 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −20/36 (c) −9/5 (d) −5/9
  25. 25.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  26. 26.What is (−5/6) + 8/9? (a) 1/5 (b) −31/18 (c) −1/18 (d) 1/18
  27. 27.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  28. 28.Write −24/54 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −24/54
  29. 29.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) −1/9 (c) −9/1 (d) 1/9
  30. 30.What is 1/7 − (−3/4)? (a) 25/28 (b) −17/28 (c) 4/11 (d) −25/28
  31. 31.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  32. 32.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5
  33. 33.What is (−4/9) + (−1/9)? (a) −5/18 (b) −1/3 (c) 5/9 (d) −5/9
  34. 34.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −6/9 (d) −2/3
  35. 35.What is (−7/8) − 5/7? (a) −4/5 (b) 89/56 (c) −89/56 (d) −9/56
  36. 36.Is −7/(−8) positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −1/2 or −8/9? (a) −1/2 (b) −8/9
  38. 38.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −10/35 (d) −7/2
  39. 39.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  40. 40.What is (−7/8) + 7/8? (a) 0 (b) −7/4

Answer key

  1. 4/3
  2. 50/63
  3. −10/9
  4. −3/4
  5. −3/5
  6. 17/28
  7. −8/9
  8. −3/5
  9. −2/3
  10. 6/35
  11. Negative
  12. 10/9
  13. 28/45
  14. −31/72
  15. −2/9
  16. −5/7
  17. −6/7
  18. −3/5
  19. −8/9
  20. −2/3
  21. −8/63
  22. −1/7
  23. −1/4
  24. −5/9
  25. 5/8
  26. 1/18
  27. −1/9
  28. −4/9
  29. −1/9
  30. 25/28
  31. −3
  32. −1/5
  33. −5/9
  34. −2/3
  35. −89/56
  36. Positive
  37. −8/9
  38. −2/7
  39. −6/5
  40. 0

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