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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 307 · 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 (−5/9) − 3/4? (a) 47/36 (b) 7/36 (c) −8/13 (d) −47/36
  2. 2.What is (−4/9) + 4/7? (a) −64/63 (b) −8/63 (c) 0 (d) 8/63
  3. 3.Which is smaller: −6/7 or 4/5? (a) 4/5 (b) −6/7
  4. 4.What is (−1/8) + 6/7? (a) −41/56 (b) 41/56 (c) 1/3 (d) −55/56
  5. 5.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  6. 6.What is 5/7 + (−2/9)? (a) 31/63 (b) 59/63 (c) 3/16 (d) −31/63
  7. 7.What is (−8/9) − 5/7? (a) −101/63 (b) −13/16 (c) −11/63 (d) 101/63
  8. 8.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −5/4 (c) 4/5 (d) −4/5
  9. 9.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  10. 10.What is 4/5 − (−3/4)? (a) −31/20 (b) 1/20 (c) 7/9 (d) 31/20
  11. 11.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  12. 12.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  13. 13.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  14. 14.What is (−5/7) − 1/3? (a) −3/5 (b) 22/21 (c) −22/21 (d) −8/21
  15. 15.What is the additive inverse of −1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  16. 16.What is (−7/9) + (−1/3)? (a) 10/9 (b) −2/3 (c) −4/9 (d) −10/9
  17. 17.Which is bigger: −6/7 or 2/5? (a) −6/7 (b) 2/5
  18. 18.Which is smaller: −3/5 or −3/8? (a) −3/5 (b) −3/8
  19. 19.What is (−2/5) + 1/4? (a) −1/9 (b) −13/20 (c) 3/20 (d) −3/20
  20. 20.What is (−1/9) + (−5/6)? (a) −2/5 (b) 13/18 (c) 17/18 (d) −17/18
  21. 21.Which is smaller: −4/5 or −7/8? (a) −4/5 (b) −7/8
  22. 22.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  23. 23.What is (−2/3) + 1/2? (a) −7/6 (b) 1/6 (c) −1/6 (d) −1/5
  24. 24.What is the additive inverse of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  25. 25.What is (−5/9) + (−4/5)? (a) 61/45 (b) 11/45 (c) −61/45 (d) −9/14
  26. 26.Which is bigger: −8/9 or −1/7? (a) −8/9 (b) −1/7
  27. 27.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  28. 28.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −25/45
  29. 29.Which is bigger: −2/7 or 5/7? (a) 5/7 (b) −2/7
  30. 30.Is −1/8 positive or negative? (a) Negative (b) Positive
  31. 31.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  32. 32.What is (−1/3) − 1/6? (a) −1/6 (b) −1/2 (c) 1/2 (d) −2/9
  33. 33.What is the reciprocal (multiplicative inverse) of −5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  34. 34.Which is bigger: −1/8 or −2/9? (a) −2/9 (b) −1/8
  35. 35.Which is bigger: −1/8 or −4/7? (a) −4/7 (b) −1/8
  36. 36.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −6/21
  37. 37.Write −5/20 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −5/20
  38. 38.Which is smaller: −5/6 or −1/8? (a) −1/8 (b) −5/6
  39. 39.What is 1/7 + (−2/5)? (a) 19/35 (b) −9/35 (c) −1/12 (d) 9/35
  40. 40.Which is smaller: −4/7 or −3/7? (a) −4/7 (b) −3/7

Answer key

  1. −47/36
  2. 8/63
  3. −6/7
  4. 41/56
  5. −2
  6. 31/63
  7. −101/63
  8. −4/5
  9. Negative
  10. 31/20
  11. −5/4
  12. 3/2
  13. 7/6
  14. −22/21
  15. 1/9
  16. −10/9
  17. 2/5
  18. −3/5
  19. −3/20
  20. −17/18
  21. −7/8
  22. 8/7
  23. −1/6
  24. 5/9
  25. −61/45
  26. −1/7
  27. Positive
  28. −5/9
  29. 5/7
  30. Negative
  31. 9/4
  32. −1/2
  33. −6/5
  34. −1/8
  35. −1/8
  36. −2/7
  37. −1/4
  38. −5/6
  39. −9/35
  40. −4/7

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