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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 969 · 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 −32/36 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −32/36
  2. 2.Is 8/2 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−8/9) − (−2/7)? (a) −74/63 (b) −3/8 (c) 38/63 (d) −38/63
  4. 4.Write −5/20 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −5/20
  5. 5.What is (−5/8) + 3/8? (a) 1/4 (b) −1/8 (c) −1/4 (d) −1
  6. 6.What is 1/8 + (−3/8)? (a) −1/8 (b) 1/2 (c) 1/4 (d) −1/4
  7. 7.Which is bigger: −3/5 or −1/4? (a) −3/5 (b) −1/4
  8. 8.What is (−5/8) − (−1/7)? (a) −43/56 (b) 27/56 (c) −27/56 (d) −4/15
  9. 9.What is (−6/7) + 1/8? (a) −41/56 (b) −1/3 (c) −55/56 (d) 41/56
  10. 10.What is (−3/7) − (−4/9)? (a) −55/63 (b) −1/63 (c) 1/16 (d) 1/63
  11. 11.What is (−4/5) − (−7/8)? (a) −67/40 (b) 3/13 (c) −3/40 (d) 3/40
  12. 12.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  13. 13.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  14. 14.What is (−3/5) + (−2/3)? (a) 19/15 (b) −19/15 (c) −5/8 (d) 1/15
  15. 15.What is 2/5 + (−1/2)? (a) 9/10 (b) 1/10 (c) −1/10 (d) 1/7
  16. 16.What is (−5/6) + (−1/4)? (a) −13/12 (b) 13/12 (c) −3/5 (d) −7/12
  17. 17.Which is smaller: −1/3 or −5/8? (a) −5/8 (b) −1/3
  18. 18.Which is smaller: −4/9 or 5/6? (a) −4/9 (b) 5/6
  19. 19.What is the additive inverse of −4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  20. 20.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  21. 21.What is (−1/3) + (−3/8)? (a) −17/24 (b) −4/11 (c) 17/24 (d) 1/24
  22. 22.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −15/40 (c) −3/8 (d) 3/8
  23. 23.Which is bigger: −3/4 or −4/5? (a) −3/4 (b) −4/5
  24. 24.Which is bigger: −2/3 or 1/5? (a) 1/5 (b) −2/3
  25. 25.What is 7/8 − (−1/5)? (a) −43/40 (b) 8/13 (c) 43/40 (d) 27/40
  26. 26.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  27. 27.Is 2/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.Is 3/7 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4
  30. 30.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  31. 31.Write −18/48 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −18/48 (c) −3/8 (d) −8/3
  32. 32.Is 6/(−6) positive or negative? (a) Negative (b) Positive
  33. 33.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −1/8 (d) −2/16
  34. 34.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  35. 35.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6
  37. 37.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −3/6
  38. 38.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  39. 39.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −25/35
  40. 40.What is 6/7 + (−7/8)? (a) 1/56 (b) 97/56 (c) −1/15 (d) −1/56

Answer key

  1. −8/9
  2. Positive
  3. −38/63
  4. −1/4
  5. −1/4
  6. −1/4
  7. −1/4
  8. −27/56
  9. −41/56
  10. 1/63
  11. 3/40
  12. −8
  13. 1/5
  14. −19/15
  15. −1/10
  16. −13/12
  17. −5/8
  18. −4/9
  19. 4/5
  20. −7/4
  21. −17/24
  22. −3/8
  23. −3/4
  24. 1/5
  25. 43/40
  26. −9/2
  27. Negative
  28. Positive
  29. 4/3
  30. Positive
  31. −3/8
  32. Negative
  33. −1/8
  34. −3/2
  35. Positive
  36. −1/6
  37. −1/2
  38. 7/8
  39. −5/7
  40. −1/56

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