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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 552 · 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 (−7/8) + 1/2? (a) −11/8 (b) 3/8 (c) −3/5 (d) −3/8
  2. 2.What is 5/7 + (−3/4)? (a) 41/28 (b) 2/11 (c) −1/28 (d) 1/28
  3. 3.What is (−6/7) − 1/5? (a) 37/35 (b) −7/12 (c) −37/35 (d) −23/35
  4. 4.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −15/18 (b) 5/6 (c) −6/5 (d) −5/6
  5. 5.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −15/27 (d) 5/9
  6. 6.What is (−1/4) − 5/8? (a) −7/8 (b) 3/8 (c) 7/8 (d) −1/2
  7. 7.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  8. 8.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) −5/9 (c) 5/9 (d) 9/5
  9. 9.What is 3/4 + (−1/4)? (a) 1/4 (b) 1 (c) −1/2 (d) 1/2
  10. 10.What is (−7/9) + (−5/7)? (a) −3/4 (b) 94/63 (c) −4/63 (d) −94/63
  11. 11.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) 1/6 (d) −1/6
  12. 12.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) −9/5 (c) 5/9 (d) −5/9
  13. 13.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  14. 14.What is (−1/8) − 4/5? (a) 37/40 (b) 27/40 (c) −37/40 (d) −5/13
  15. 15.What is the additive inverse of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  16. 16.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) −2/14 (d) 1/7
  17. 17.Which is smaller: −1/9 or 1/5? (a) 1/5 (b) −1/9
  18. 18.What is (−4/7) − (−3/5)? (a) −1/12 (b) −41/35 (c) −1/35 (d) 1/35
  19. 19.Which is smaller: −1/7 or 1/2? (a) −1/7 (b) 1/2
  20. 20.What is (−1/3) + (−1/4)? (a) −1/12 (b) 7/12 (c) −2/7 (d) −7/12
  21. 21.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  22. 22.What is the additive inverse of 1/7? (a) −1/7 (b) 1/7 (c) −7 (d) 7
  23. 23.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  24. 24.Which is bigger: −4/5 or −1/4? (a) −4/5 (b) −1/4
  25. 25.What is (−4/7) + 3/5? (a) −1/12 (b) 1/35 (c) −1/35 (d) −41/35
  26. 26.What is (−3/4) − 5/6? (a) −4/5 (b) 1/12 (c) −19/12 (d) 19/12
  27. 27.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  28. 28.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −3/6 (c) 1/2 (d) −2/1
  29. 29.Which is bigger: −3/8 or −1/4? (a) −1/4 (b) −3/8
  30. 30.What is 2/5 + (−3/5)? (a) 1/5 (b) 1 (c) −1/10 (d) −1/5
  31. 31.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −12/27
  32. 32.What is (−4/5) + 5/7? (a) 3/35 (b) −53/35 (c) 1/12 (d) −3/35
  33. 33.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −5/10 (d) −2/1
  34. 34.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −8/18 (d) 4/9
  35. 35.What is (−6/7) + 5/8? (a) −83/56 (b) −13/56 (c) −1/15 (d) 13/56
  36. 36.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  37. 37.What is (−1/3) + (−3/8)? (a) −4/11 (b) 1/24 (c) 17/24 (d) −17/24
  38. 38.What is (−7/9) − (−1/7)? (a) −40/63 (b) 40/63 (c) −58/63 (d) −3/8
  39. 39.What is the additive inverse of −5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  40. 40.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) 3/8 (c) −3/8 (d) −8/3

Answer key

  1. −3/8
  2. −1/28
  3. −37/35
  4. −5/6
  5. −5/9
  6. −7/8
  7. 3/5
  8. −9/5
  9. 1/2
  10. −94/63
  11. −1/6
  12. −5/9
  13. −3/4
  14. −37/40
  15. 1/3
  16. −1/7
  17. −1/9
  18. 1/35
  19. −1/7
  20. −7/12
  21. −3/2
  22. −1/7
  23. −7/4
  24. −1/4
  25. 1/35
  26. −19/12
  27. −9/2
  28. −1/2
  29. −1/4
  30. −1/5
  31. −4/9
  32. −3/35
  33. −1/2
  34. −4/9
  35. −13/56
  36. 7/3
  37. −17/24
  38. −40/63
  39. 5/9
  40. −3/8

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