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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 293 · 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.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −5/6 (d) −6/5
  2. 2.What is (−7/8) + 1/8? (a) 3/4 (b) −3/4 (c) −3/8 (d) −1
  3. 3.Write −15/40 in standard form (lowest terms, positive denominator). (a) −15/40 (b) −3/8 (c) 3/8 (d) −8/3
  4. 4.Which is bigger: −1/2 or −5/9? (a) −5/9 (b) −1/2
  5. 5.What is (−1/9) − (−1/8)? (a) −1/72 (b) −17/72 (c) 0 (d) 1/72
  6. 6.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −10/35 (b) −7/2 (c) −2/7 (d) 2/7
  7. 7.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −12/28
  8. 8.Which is bigger: −1/5 or 1/3? (a) −1/5 (b) 1/3
  9. 9.Which is bigger: −1/5 or −7/8? (a) −1/5 (b) −7/8
  10. 10.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  11. 11.What is (−5/7) + (−1/5)? (a) −1/2 (b) −32/35 (c) 32/35 (d) −18/35
  12. 12.What is (−4/9) + (−1/5)? (a) 29/45 (b) −5/14 (c) −29/45 (d) −11/45
  13. 13.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −10/16
  14. 14.Which is bigger: −5/9 or −6/7? (a) −5/9 (b) −6/7
  15. 15.What is 7/8 + (−5/9)? (a) 2/17 (b) 103/72 (c) 23/72 (d) −23/72
  16. 16.What is (−6/7) − (−8/9)? (a) 2/63 (b) −2/63 (c) 1/8 (d) −110/63
  17. 17.Which is smaller: −4/7 or −6/7? (a) −6/7 (b) −4/7
  18. 18.Which is smaller: −6/7 or 5/9? (a) −6/7 (b) 5/9
  19. 19.What is (−4/5) + 3/5? (a) −1/5 (b) −1/10 (c) 1/5 (d) −7/5
  20. 20.What is 2/3 − (−1/8)? (a) −19/24 (b) 13/24 (c) 19/24 (d) 3/11
  21. 21.Write −21/24 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −21/24 (d) −7/8
  22. 22.Which is bigger: −5/9 or 7/9? (a) −5/9 (b) 7/9
  23. 23.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  25. 25.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −3/27
  26. 26.What is (−1/3) − (−4/7)? (a) 5/21 (b) −19/21 (c) −5/21 (d) 3/10
  27. 27.Which is smaller: −1/8 or 1/6? (a) 1/6 (b) −1/8
  28. 28.Which is bigger: −2/7 or 7/8? (a) −2/7 (b) 7/8
  29. 29.What is 3/8 + (−1/6)? (a) −5/24 (b) 1/7 (c) 13/24 (d) 5/24
  30. 30.Which is smaller: −5/7 or −1/7? (a) −1/7 (b) −5/7
  31. 31.Write −24/42 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −24/42 (c) 4/7 (d) −7/4
  32. 32.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −35/40 (c) 7/8 (d) −8/7
  33. 33.Which is smaller: −3/8 or −4/5? (a) −4/5 (b) −3/8
  34. 34.What is (−4/9) − (−1/5)? (a) −11/45 (b) 11/45 (c) −29/45 (d) −3/14
  35. 35.Which is smaller: −1/8 or 7/9? (a) 7/9 (b) −1/8
  36. 36.Which is bigger: −5/7 or −1/5? (a) −1/5 (b) −5/7
  37. 37.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  38. 38.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −12/15 (c) 4/5 (d) −4/5
  39. 39.Which is smaller: −5/8 or 5/9? (a) 5/9 (b) −5/8
  40. 40.Which is bigger: −5/9 or −5/8? (a) −5/9 (b) −5/8

Answer key

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

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