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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 521 · 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: −5/6 or −2/7? (a) −2/7 (b) −5/6
  2. 2.What is (−2/9) − (−1/5)? (a) −19/45 (b) −1/45 (c) 1/45 (d) −1/14
  3. 3.Which is smaller: −2/3 or −3/5? (a) −3/5 (b) −2/3
  4. 4.What is (−5/9) + 5/6? (a) −25/18 (b) 0 (c) 5/18 (d) −5/18
  5. 5.What is (−3/4) − (−3/5)? (a) −27/20 (b) −3/20 (c) 0 (d) 3/20
  6. 6.Is 8/7 positive or negative? (a) Negative (b) Positive
  7. 7.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −6/54
  8. 8.What is the additive inverse of −6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  9. 9.What is 5/9 − (−6/7)? (a) −89/63 (b) 11/16 (c) 89/63 (d) −19/63
  10. 10.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  11. 11.What is 2/9 + (−3/5)? (a) 37/45 (b) 17/45 (c) −17/45 (d) −1/14
  12. 12.What is (−7/9) + (−2/9)? (a) −1 (b) 1 (c) −5/9 (d) −1/2
  13. 13.What is (−3/4) − (−1/2)? (a) −5/4 (b) −1/4 (c) 1/4 (d) −1/3
  14. 14.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −9/4 (c) 9/4 (d) −4/9
  15. 15.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−2/7) + (−2/5)? (a) −1/3 (b) −24/35 (c) 4/35 (d) 24/35
  17. 17.What is (−1/2) + (−4/9)? (a) −1/18 (b) 17/18 (c) −17/18 (d) −5/11
  18. 18.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  19. 19.What is (−5/6) + 4/9? (a) −1/15 (b) −7/18 (c) 7/18 (d) −23/18
  20. 20.What is (−5/9) − 1/4? (a) −29/36 (b) −11/36 (c) 29/36 (d) −6/13
  21. 21.What is (−2/7) + 3/4? (a) 13/28 (b) 1/11 (c) −13/28 (d) −29/28
  22. 22.What is 5/7 + (−5/7)? (a) 0 (b) 10/7
  23. 23.What is (−2/7) + (−1/4)? (a) 15/28 (b) −3/11 (c) −1/28 (d) −15/28
  24. 24.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −2/16 (d) 1/8
  25. 25.What is 1/7 − (−4/7)? (a) 5/14 (b) 5/7 (c) −3/7 (d) −5/7
  26. 26.Which is bigger: −1/8 or −2/3? (a) −1/8 (b) −2/3
  27. 27.Write −5/10 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/1 (d) −5/10
  28. 28.Is 3/8 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  30. 30.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −6/24
  31. 31.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −6/27
  32. 32.What is (−1/2) − (−1/8)? (a) 0 (b) −3/8 (c) −5/8 (d) 3/8
  33. 33.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  34. 34.What is the additive inverse of 3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  35. 35.What is (−1/3) + (−6/7)? (a) 25/21 (b) −25/21 (c) 11/21 (d) −7/10
  36. 36.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  37. 37.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −2/10 (d) −5/1
  38. 38.What is (−2/5) + 5/7? (a) −39/35 (b) −11/35 (c) 11/35 (d) 1/4
  39. 39.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −6/12 (b) −2/1 (c) 1/2 (d) −1/2
  40. 40.What is (−1/4) + (−5/8)? (a) 7/8 (b) −7/8 (c) 3/8 (d) −1/2

Answer key

  1. −2/7
  2. −1/45
  3. −2/3
  4. 5/18
  5. −3/20
  6. Positive
  7. −1/9
  8. 6/7
  9. 89/63
  10. 2
  11. −17/45
  12. −1
  13. −1/4
  14. 9/4
  15. Positive
  16. −24/35
  17. −17/18
  18. Positive
  19. −7/18
  20. −29/36
  21. 13/28
  22. 0
  23. −15/28
  24. −1/8
  25. 5/7
  26. −1/8
  27. −1/2
  28. Positive
  29. −9/2
  30. −1/4
  31. −2/9
  32. −3/8
  33. 3/2
  34. −3/5
  35. −25/21
  36. Positive
  37. −1/5
  38. 11/35
  39. −1/2
  40. −7/8

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