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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 303 · 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.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) 3/5 (c) −5/3 (d) −3/5
  2. 2.What is (−3/4) − (−2/5)? (a) −23/20 (b) −7/20 (c) 7/20 (d) −1/9
  3. 3.Which is bigger: −7/8 or −1/6? (a) −7/8 (b) −1/6
  4. 4.What is 3/7 + (−1/4)? (a) 19/28 (b) 5/28 (c) 2/11 (d) −5/28
  5. 5.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  6. 6.What is (−2/3) − (−7/9)? (a) 5/12 (b) 1/9 (c) −1/9 (d) −13/9
  7. 7.What is (−5/7) − 1/7? (a) −6/7 (b) −3/7 (c) −4/7 (d) 6/7
  8. 8.What is (−8/9) + 1/9? (a) −7/18 (b) 7/9 (c) −1 (d) −7/9
  9. 9.Is −2/7 positive or negative? (a) Positive (b) Negative
  10. 10.What is 6/7 + (−1/3)? (a) 25/21 (b) 11/21 (c) 1/2 (d) −11/21
  11. 11.What is (−1/5) − 3/8? (a) −23/40 (b) 7/40 (c) −4/13 (d) 23/40
  12. 12.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −21/24 (d) 7/8
  13. 13.Is 7/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  15. 15.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  16. 16.Which is smaller: −3/5 or 3/7? (a) 3/7 (b) −3/5
  17. 17.Write −6/15 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −6/15
  18. 18.Which is smaller: −3/4 or −4/9? (a) −3/4 (b) −4/9
  19. 19.What is (−6/7) + 1/8? (a) −41/56 (b) −1/3 (c) −55/56 (d) 41/56
  20. 20.What is 6/7 + (−7/9)? (a) 103/63 (b) −5/63 (c) −1/16 (d) 5/63
  21. 21.Which is bigger: −1/7 or −1/6? (a) −1/7 (b) −1/6
  22. 22.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) 5/7 (c) −5/7 (d) −7/5
  23. 23.Which is smaller: −6/7 or 1/9? (a) 1/9 (b) −6/7
  24. 24.Which is bigger: −7/8 or −3/7? (a) −3/7 (b) −7/8
  25. 25.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  26. 26.Write −28/32 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −28/32 (c) −8/7 (d) −7/8
  27. 27.What is 2/3 + (−1/9)? (a) −5/9 (b) 7/9 (c) 1/12 (d) 5/9
  28. 28.Which is smaller: −1/4 or 5/8? (a) −1/4 (b) 5/8
  29. 29.What is 1/7 − (−4/9)? (a) 37/63 (b) 5/16 (c) −19/63 (d) −37/63
  30. 30.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −12/28
  31. 31.What is the additive inverse of 1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  32. 32.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −4/6
  33. 33.Is −2/5 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−2/5) − (−3/8)? (a) 1/40 (b) −31/40 (c) −1/40 (d) 1/13
  35. 35.What is (−7/9) + 1/6? (a) 11/18 (b) −17/18 (c) −2/5 (d) −11/18
  36. 36.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) 2/7 (d) −7/2
  37. 37.What is (−1/4) − (−2/7)? (a) −1/28 (b) 1/28 (c) −15/28 (d) 1/11
  38. 38.Which is bigger: −3/7 or 5/8? (a) −3/7 (b) 5/8
  39. 39.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −25/40 (c) 5/8 (d) −5/8
  40. 40.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2

Answer key

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

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