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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 963 · 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 2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  2. 2.What is 4/9 + (−2/5)? (a) 38/45 (b) 1/7 (c) −2/45 (d) 2/45
  3. 3.Which is bigger: −2/9 or 1/3? (a) 1/3 (b) −2/9
  4. 4.What is (−5/6) + (−2/7)? (a) −7/13 (b) 47/42 (c) −23/42 (d) −47/42
  5. 5.What is 5/7 + (−1/2)? (a) −3/14 (b) 17/14 (c) 3/14 (d) 4/9
  6. 6.Which is bigger: −1/5 or 1/7? (a) 1/7 (b) −1/5
  7. 7.Which is smaller: −7/8 or −1/2? (a) −7/8 (b) −1/2
  8. 8.Which is bigger: −1/8 or −4/7? (a) −1/8 (b) −4/7
  9. 9.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −12/15 (c) −5/4 (d) −4/5
  10. 10.What is (−2/3) − (−8/9)? (a) −2/9 (b) 1/2 (c) −14/9 (d) 2/9
  11. 11.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7
  12. 12.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  13. 13.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  14. 14.What is (−1/6) − 5/8? (a) −19/24 (b) −3/7 (c) 19/24 (d) 11/24
  15. 15.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  16. 16.What is (−2/7) − 1/6? (a) −5/42 (b) −19/42 (c) 19/42 (d) −3/13
  17. 17.What is (−6/7) + (−1/5)? (a) −23/35 (b) −37/35 (c) −7/12 (d) 37/35
  18. 18.What is 1/8 − (−1/2)? (a) −3/8 (b) 1/5 (c) −5/8 (d) 5/8
  19. 19.What is (−1/5) − (−1/8)? (a) −13/40 (b) 3/40 (c) −3/40 (d) 0
  20. 20.What is (−5/9) − 3/7? (a) −8/63 (b) 62/63 (c) −1/2 (d) −62/63
  21. 21.Is 1/7 positive or negative? (a) Positive (b) Negative
  22. 22.Write −20/45 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −20/45 (c) −4/9 (d) 4/9
  23. 23.Which is bigger: −1/2 or −1/9? (a) −1/2 (b) −1/9
  24. 24.What is (−5/8) + 5/7? (a) −5/56 (b) −75/56 (c) 5/56 (d) 0
  25. 25.Which is bigger: −3/7 or −5/6? (a) −3/7 (b) −5/6
  26. 26.What is (−1/3) − 1/5? (a) −1/4 (b) −8/15 (c) 8/15 (d) −2/15
  27. 27.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  28. 28.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/9 (c) −3/1 (d) −1/3
  29. 29.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −5/35
  30. 30.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  31. 31.Which is bigger: −2/3 or −2/5? (a) −2/3 (b) −2/5
  32. 32.Write −5/45 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) −1/9 (d) 1/9
  33. 33.What is 5/9 + (−3/5)? (a) 52/45 (b) −2/45 (c) 1/7 (d) 2/45
  34. 34.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −16/18 (c) 8/9 (d) −8/9
  35. 35.Write −42/48 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −42/48 (d) 7/8
  36. 36.What is 5/6 + (−6/7)? (a) 1/42 (b) −1/13 (c) 71/42 (d) −1/42
  37. 37.What is 3/5 + (−5/7)? (a) −1/6 (b) −4/35 (c) 4/35 (d) 46/35
  38. 38.What is (−4/7) + (−2/5)? (a) −1/2 (b) 34/35 (c) −6/35 (d) −34/35
  39. 39.What is 1/6 − (−3/8)? (a) −5/24 (b) 2/7 (c) −13/24 (d) 13/24
  40. 40.What is (−5/9) + (−2/5)? (a) −7/45 (b) −1/2 (c) −43/45 (d) 43/45

Answer key

  1. 3/2
  2. 2/45
  3. 1/3
  4. −47/42
  5. 3/14
  6. 1/7
  7. −7/8
  8. −1/8
  9. −4/5
  10. 2/9
  11. 8/7
  12. 7/2
  13. 3
  14. −19/24
  15. −8/9
  16. −19/42
  17. −37/35
  18. 5/8
  19. −3/40
  20. −62/63
  21. Positive
  22. −4/9
  23. −1/9
  24. 5/56
  25. −3/7
  26. −8/15
  27. Positive
  28. −1/3
  29. −1/7
  30. 5/4
  31. −2/5
  32. −1/9
  33. −2/45
  34. −8/9
  35. −7/8
  36. −1/42
  37. −4/35
  38. −34/35
  39. 13/24
  40. −43/45

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