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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 728 · 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 (−1/5) − 2/5? (a) 3/5 (b) −3/10 (c) 1/5 (d) −3/5
  2. 2.Which is smaller: −3/5 or 2/9? (a) 2/9 (b) −3/5
  3. 3.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  4. 4.What is 2/3 − (−1/4)? (a) −11/12 (b) 3/7 (c) 11/12 (d) 5/12
  5. 5.Which is bigger: −2/7 or 2/5? (a) −2/7 (b) 2/5
  6. 6.What is 4/7 + (−3/5)? (a) 1/35 (b) 41/35 (c) −1/35 (d) 1/12
  7. 7.Is −4/8 positive or negative? (a) Positive (b) Negative
  8. 8.Is −3/3 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−1/6) + 1/6? (a) −1/3 (b) 0
  10. 10.What is (−2/3) − 5/8? (a) 31/24 (b) −31/24 (c) −7/11 (d) −1/24
  11. 11.Which is bigger: −7/8 or −4/5? (a) −4/5 (b) −7/8
  12. 12.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  13. 13.Is −2/(−7) positive or negative? (a) Negative (b) Positive
  14. 14.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −15/40 (b) −8/3 (c) −3/8 (d) 3/8
  15. 15.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) −2/9 (d) 2/9
  16. 16.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −30/48 (c) −5/8 (d) −8/5
  17. 17.What is 2/5 − (−7/8)? (a) −51/40 (b) 9/13 (c) −19/40 (d) 51/40
  18. 18.What is (−1/2) + 2/5? (a) −9/10 (b) 1/7 (c) −1/10 (d) 1/10
  19. 19.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  20. 20.Which is smaller: −5/8 or −6/7? (a) −5/8 (b) −6/7
  21. 21.What is 1/7 + (−1/2)? (a) 5/14 (b) −5/14 (c) 0 (d) 9/14
  22. 22.What is 3/4 − (−5/9)? (a) 8/13 (b) 7/36 (c) −47/36 (d) 47/36
  23. 23.What is 3/8 − (−1/4)? (a) −5/8 (b) 1/8 (c) 1/3 (d) 5/8
  24. 24.What is (−5/6) + (−2/5)? (a) −13/30 (b) 37/30 (c) −37/30 (d) −7/11
  25. 25.What is (−7/9) − 4/7? (a) −11/16 (b) −85/63 (c) 85/63 (d) −13/63
  26. 26.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  27. 27.Which is bigger: −1/5 or −6/7? (a) −6/7 (b) −1/5
  28. 28.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  29. 29.What is the additive inverse of −2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  30. 30.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −2/6 (c) −1/3 (d) 1/3
  31. 31.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −6/9 (d) −2/3
  32. 32.Which is bigger: −5/6 or 8/9? (a) −5/6 (b) 8/9
  33. 33.What is (−4/9) − (−2/7)? (a) −10/63 (b) 10/63 (c) −1/8 (d) −46/63
  34. 34.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −15/25 (b) −5/3 (c) −3/5 (d) 3/5
  35. 35.Which is smaller: −6/7 or −7/9? (a) −7/9 (b) −6/7
  36. 36.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  37. 37.What is (−1/7) + (−1/5)? (a) 12/35 (b) 2/35 (c) −1/6 (d) −12/35
  38. 38.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −6/16 (c) −3/8 (d) −8/3
  39. 39.Which is bigger: −1/7 or 1/4? (a) 1/4 (b) −1/7
  40. 40.What is (−5/9) + 3/5? (a) −2/45 (b) −52/45 (c) −1/7 (d) 2/45

Answer key

  1. −3/5
  2. −3/5
  3. −8/7
  4. 11/12
  5. 2/5
  6. −1/35
  7. Negative
  8. Negative
  9. 0
  10. −31/24
  11. −4/5
  12. Positive
  13. Positive
  14. −3/8
  15. −2/9
  16. −5/8
  17. 51/40
  18. −1/10
  19. Positive
  20. −6/7
  21. −5/14
  22. 47/36
  23. 5/8
  24. −37/30
  25. −85/63
  26. −2
  27. −1/5
  28. 5/2
  29. 2/5
  30. −1/3
  31. −2/3
  32. 8/9
  33. −10/63
  34. −3/5
  35. −6/7
  36. 1/3
  37. −12/35
  38. −3/8
  39. 1/4
  40. 2/45

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