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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 375 · 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 5/6 − (−4/9)? (a) −23/18 (b) 7/18 (c) 3/5 (d) 23/18
  2. 2.Which is smaller: −1/2 or 5/6? (a) 5/6 (b) −1/2
  3. 3.Write −10/35 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −10/35 (d) −2/7
  4. 4.What is 2/5 + (−3/4)? (a) −7/20 (b) −1/9 (c) 23/20 (d) 7/20
  5. 5.Is 8/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.Is 6/3 positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −4/5 or 2/3? (a) 2/3 (b) −4/5
  8. 8.What is (−2/9) − (−7/9)? (a) −5/9 (b) 5/18 (c) 5/9 (d) −1
  9. 9.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  10. 10.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  11. 11.What is (−4/9) − (−5/7)? (a) 1/16 (b) −17/63 (c) 17/63 (d) −73/63
  12. 12.Which is smaller: −1/4 or −1/6? (a) −1/4 (b) −1/6
  13. 13.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  14. 14.What is 3/5 + (−3/7)? (a) 0 (b) 36/35 (c) −6/35 (d) 6/35
  15. 15.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −25/40 (b) −8/5 (c) 5/8 (d) −5/8
  16. 16.What is (−3/5) − (−4/9)? (a) −7/45 (b) 7/45 (c) −47/45 (d) 1/14
  17. 17.What is 2/5 + (−7/8)? (a) −5/13 (b) 51/40 (c) 19/40 (d) −19/40
  18. 18.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) −7/1 (d) 1/7
  19. 19.Is −3/5 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−1/4) − (−8/9)? (a) 7/13 (b) 23/36 (c) −23/36 (d) −41/36
  21. 21.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  22. 22.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −15/18 (c) 5/6 (d) −6/5
  23. 23.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  24. 24.Which is bigger: −4/9 or −3/5? (a) −3/5 (b) −4/9
  25. 25.Which is smaller: −3/4 or 3/8? (a) 3/8 (b) −3/4
  26. 26.Which is bigger: −2/3 or −1/5? (a) −1/5 (b) −2/3
  27. 27.Write −28/32 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −28/32 (c) −7/8 (d) −8/7
  28. 28.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −6/9 (d) −3/2
  29. 29.Which is smaller: −4/9 or 2/5? (a) 2/5 (b) −4/9
  30. 30.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  31. 31.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  33. 33.Is −1/7 positive or negative? (a) Positive (b) Negative
  34. 34.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  35. 35.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −9/8 (c) −8/9 (d) 8/9
  36. 36.What is 3/4 + (−1/7)? (a) 17/28 (b) −17/28 (c) 2/11 (d) 25/28
  37. 37.What is 5/6 − (−3/5)? (a) 7/30 (b) 43/30 (c) 8/11 (d) −43/30
  38. 38.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  39. 39.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −28/36 (b) 7/9 (c) −9/7 (d) −7/9
  40. 40.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) 2/7 (d) −2/7

Answer key

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

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