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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 264 · 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 8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  2. 2.Which is smaller: −4/9 or 4/7? (a) 4/7 (b) −4/9
  3. 3.What is 1/7 + (−1/9)? (a) −2/63 (b) 0 (c) 2/63 (d) 16/63
  4. 4.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −6/24 (c) 1/4 (d) −4/1
  5. 5.What is (−6/7) − 5/9? (a) −19/63 (b) −89/63 (c) −11/16 (d) 89/63
  6. 6.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −20/35 (d) −4/7
  7. 7.What is (−2/5) − 6/7? (a) −44/35 (b) 44/35 (c) −2/3 (d) 16/35
  8. 8.What is (−7/8) + 5/9? (a) −103/72 (b) −2/17 (c) −23/72 (d) 23/72
  9. 9.Which is smaller: −3/8 or −7/8? (a) −3/8 (b) −7/8
  10. 10.Which is bigger: −4/7 or −1/3? (a) −1/3 (b) −4/7
  11. 11.Which is smaller: −7/9 or −1/8? (a) −1/8 (b) −7/9
  12. 12.Write −6/36 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −6/36
  13. 13.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.What is (−5/9) + 2/3? (a) −1/4 (b) −11/9 (c) 1/9 (d) −1/9
  15. 15.What is (−1/5) − (−3/8)? (a) −7/40 (b) −23/40 (c) 2/13 (d) 7/40
  16. 16.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −5/35 (c) −1/7 (d) 1/7
  17. 17.What is the additive inverse of −1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  18. 18.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  19. 19.What is (−2/5) − 1/4? (a) −13/20 (b) 13/20 (c) −3/20 (d) −1/3
  20. 20.What is (−5/9) − 3/5? (a) 2/45 (b) 52/45 (c) −52/45 (d) −4/7
  21. 21.What is 2/7 + (−7/9)? (a) 31/63 (b) −5/16 (c) 67/63 (d) −31/63
  22. 22.What is (−7/8) + 4/9? (a) −95/72 (b) −31/72 (c) −3/17 (d) 31/72
  23. 23.What is 2/5 − (−5/7)? (a) 39/35 (b) −39/35 (c) −11/35 (d) 7/12
  24. 24.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  25. 25.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) −9/4 (d) 4/9
  26. 26.Which is bigger: −5/6 or 3/7? (a) −5/6 (b) 3/7
  27. 27.Which is bigger: −5/8 or −1/4? (a) −5/8 (b) −1/4
  28. 28.What is the additive inverse of −1/9? (a) 9 (b) −9 (c) 1/9 (d) −1/9
  29. 29.What is (−6/7) + (−7/9)? (a) 103/63 (b) −5/63 (c) −13/16 (d) −103/63
  30. 30.Which is smaller: −4/5 or −2/9? (a) −4/5 (b) −2/9
  31. 31.What is (−3/4) − 5/6? (a) 1/12 (b) 19/12 (c) −19/12 (d) −4/5
  32. 32.Which is bigger: −7/9 or −1/4? (a) −1/4 (b) −7/9
  33. 33.What is (−7/8) + 1/4? (a) 5/8 (b) −9/8 (c) −1/2 (d) −5/8
  34. 34.What is (−3/7) − (−4/9)? (a) −1/63 (b) −55/63 (c) 1/63 (d) 1/16
  35. 35.What is (−7/9) + (−5/8)? (a) −101/72 (b) 101/72 (c) −11/72 (d) −12/17
  36. 36.What is 2/5 − (−1/4)? (a) −13/20 (b) 3/20 (c) 1/3 (d) 13/20
  37. 37.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −5/30 (c) −6/1 (d) −1/6
  38. 38.Is −2/(−2) positive or negative? (a) Positive (b) Negative
  39. 39.Write −24/42 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −24/42 (c) 4/7 (d) −4/7
  40. 40.Is −2/(−8) positive or negative? (a) Positive (b) Negative

Answer key

  1. 9/8
  2. −4/9
  3. 2/63
  4. −1/4
  5. −89/63
  6. −4/7
  7. −44/35
  8. −23/72
  9. −7/8
  10. −1/3
  11. −7/9
  12. −1/6
  13. Negative
  14. 1/9
  15. 7/40
  16. −1/7
  17. 1/8
  18. −9/2
  19. −13/20
  20. −52/45
  21. −31/63
  22. −31/72
  23. 39/35
  24. 7/6
  25. −4/9
  26. 3/7
  27. −1/4
  28. 1/9
  29. −103/63
  30. −4/5
  31. −19/12
  32. −1/4
  33. −5/8
  34. 1/63
  35. −101/72
  36. 13/20
  37. −1/6
  38. Positive
  39. −4/7
  40. Positive

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