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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 889 · 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.Which is bigger: −8/9 or −4/9? (a) −4/9 (b) −8/9
  2. 2.Which is smaller: −2/9 or 1/6? (a) −2/9 (b) 1/6
  3. 3.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) −3/24 (d) 1/8
  4. 4.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  5. 5.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) −7 (c) 1/7 (d) 7
  6. 6.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −9/12
  7. 7.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  8. 8.Which is bigger: −1/9 or 5/7? (a) 5/7 (b) −1/9
  9. 9.Write −14/18 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −14/18 (d) −7/9
  10. 10.What is (−2/3) − (−1/2)? (a) −1/6 (b) −7/6 (c) −1/5 (d) 1/6
  11. 11.Which is smaller: −7/8 or −3/4? (a) −7/8 (b) −3/4
  12. 12.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/5) − 2/9? (a) −26/45 (b) −46/45 (c) −3/7 (d) 46/45
  14. 14.Is 7/5 positive or negative? (a) Positive (b) Negative
  15. 15.What is 3/7 − (−4/7)? (a) −1/7 (b) −1 (c) 1 (d) 1/2
  16. 16.Which is smaller: −1/9 or 1/2? (a) −1/9 (b) 1/2
  17. 17.What is (−5/6) − 2/3? (a) 3/2 (b) −7/9 (c) −3/2 (d) −1/6
  18. 18.What is (−3/4) − 7/9? (a) 55/36 (b) 1/36 (c) −55/36 (d) −10/13
  19. 19.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −35/45 (b) −7/9 (c) 7/9 (d) −9/7
  20. 20.What is (−6/7) + 1/2? (a) −19/14 (b) 5/14 (c) −5/14 (d) −5/9
  21. 21.Which is smaller: −8/9 or 5/7? (a) 5/7 (b) −8/9
  22. 22.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −8/10 (d) 4/5
  23. 23.What is (−2/5) − 7/8? (a) 19/40 (b) 51/40 (c) −9/13 (d) −51/40
  24. 24.What is the additive inverse of 3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  25. 25.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) −7/3 (c) −3/7 (d) 3/7
  26. 26.What is 3/4 + (−7/9)? (a) 55/36 (b) −1/36 (c) 1/36 (d) −4/13
  27. 27.What is (−4/7) + 5/7? (a) 1/14 (b) 1/7 (c) −9/7 (d) −1/7
  28. 28.Is 5/9 positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −1/8 or −7/9? (a) −1/8 (b) −7/9
  30. 30.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −7/9 (d) −21/27
  31. 31.Which is smaller: −5/9 or 3/4? (a) −5/9 (b) 3/4
  32. 32.What is (−2/9) − (−1/5)? (a) −19/45 (b) −1/14 (c) −1/45 (d) 1/45
  33. 33.What is (−2/3) + 3/5? (a) −19/15 (b) 1/15 (c) −1/15 (d) 1/8
  34. 34.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −2/3 (c) 2/3 (d) −3/2
  35. 35.Write −5/35 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −5/35 (c) −7/1 (d) −1/7
  36. 36.What is the additive inverse of −1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  37. 37.Which is bigger: −1/7 or 1/3? (a) −1/7 (b) 1/3
  38. 38.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −2/3 (d) −3/2
  39. 39.What is (−6/7) + (−2/5)? (a) −16/35 (b) −44/35 (c) −2/3 (d) 44/35
  40. 40.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −6/15 (d) −5/2

Answer key

  1. −4/9
  2. −2/9
  3. −1/8
  4. 3/4
  5. 7
  6. −3/4
  7. −8/9
  8. 5/7
  9. −7/9
  10. −1/6
  11. −7/8
  12. Positive
  13. −46/45
  14. Positive
  15. 1
  16. −1/9
  17. −3/2
  18. −55/36
  19. −7/9
  20. −5/14
  21. −8/9
  22. −4/5
  23. −51/40
  24. −3/5
  25. −3/7
  26. −1/36
  27. 1/7
  28. Positive
  29. −7/9
  30. −7/9
  31. −5/9
  32. −1/45
  33. −1/15
  34. −2/3
  35. −1/7
  36. 1/7
  37. 1/3
  38. −2/3
  39. −44/35
  40. −2/5

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