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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 841 · 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 (−8/9) + (−6/7)? (a) −2/63 (b) −110/63 (c) −7/8 (d) 110/63
  2. 2.What is 6/7 − (−1/2)? (a) −19/14 (b) 5/14 (c) 19/14 (d) 7/9
  3. 3.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  4. 4.What is 1/6 + (−1/4)? (a) −1/12 (b) 5/12 (c) 1/12 (d) 0
  5. 5.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) −3/5 (d) 3/5
  6. 6.What is (−1/7) − (−5/6)? (a) −41/42 (b) 4/13 (c) 29/42 (d) −29/42
  7. 7.Which is bigger: −1/2 or −2/5? (a) −2/5 (b) −1/2
  8. 8.Which is smaller: −5/9 or 5/7? (a) 5/7 (b) −5/9
  9. 9.What is 2/7 − (−1/2)? (a) −11/14 (b) 1/3 (c) −3/14 (d) 11/14
  10. 10.What is 4/7 + (−4/9)? (a) 64/63 (b) 0 (c) 8/63 (d) −8/63
  11. 11.Which is bigger: −2/3 or −3/4? (a) −3/4 (b) −2/3
  12. 12.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) −1/3 (c) 1/3 (d) −3/1
  13. 13.What is 1/4 + (−4/7)? (a) 23/28 (b) −3/11 (c) 9/28 (d) −9/28
  14. 14.Which is bigger: −7/9 or −6/7? (a) −6/7 (b) −7/9
  15. 15.What is (−1/4) − (−3/7)? (a) −19/28 (b) 2/11 (c) −5/28 (d) 5/28
  16. 16.What is 1/8 + (−2/3)? (a) −1/11 (b) 19/24 (c) 13/24 (d) −13/24
  17. 17.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/4 (c) −2/1 (d) −1/2
  18. 18.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −3/5 or 3/4? (a) −3/5 (b) 3/4
  20. 20.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  21. 21.Which is bigger: −5/7 or −7/8? (a) −7/8 (b) −5/7
  22. 22.What is 1/5 − (−7/8)? (a) −27/40 (b) 8/13 (c) 43/40 (d) −43/40
  23. 23.Which is smaller: −4/5 or −3/4? (a) −3/4 (b) −4/5
  24. 24.Which is smaller: −8/9 or −7/8? (a) −7/8 (b) −8/9
  25. 25.Which is smaller: −5/7 or 3/4? (a) 3/4 (b) −5/7
  26. 26.What is (−2/9) − (−2/7)? (a) 4/63 (b) 0 (c) −4/63 (d) −32/63
  27. 27.What is (−1/3) − 4/5? (a) −17/15 (b) −5/8 (c) 7/15 (d) 17/15
  28. 28.What is 3/8 − (−1/7)? (a) −29/56 (b) 13/56 (c) 29/56 (d) 4/15
  29. 29.Is 6/9 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −7/8 or 1/6? (a) −7/8 (b) 1/6
  31. 31.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  32. 32.What is (−2/9) − (−1/5)? (a) 1/45 (b) −1/14 (c) −19/45 (d) −1/45
  33. 33.Is −7/8 positive or negative? (a) Positive (b) Negative
  34. 34.Is −5/(−7) positive or negative? (a) Negative (b) Positive
  35. 35.Is −9/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−1/3) − 5/6? (a) −2/3 (b) 1/2 (c) −7/6 (d) 7/6
  37. 37.Which is smaller: −2/9 or −8/9? (a) −8/9 (b) −2/9
  38. 38.What is (−1/7) − (−6/7)? (a) −1 (b) −5/7 (c) 5/7 (d) 5/14
  39. 39.What is 1/3 − (−5/7)? (a) −8/21 (b) 22/21 (c) −22/21 (d) 3/5
  40. 40.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) −5/10 (b) 1/2 (c) −2/1 (d) −1/2

Answer key

  1. −110/63
  2. 19/14
  3. −2/5
  4. −1/12
  5. −3/5
  6. 29/42
  7. −2/5
  8. −5/9
  9. 11/14
  10. 8/63
  11. −2/3
  12. −1/3
  13. −9/28
  14. −7/9
  15. 5/28
  16. −13/24
  17. −1/2
  18. Positive
  19. −3/5
  20. −2/7
  21. −5/7
  22. 43/40
  23. −4/5
  24. −8/9
  25. −5/7
  26. 4/63
  27. −17/15
  28. 29/56
  29. Positive
  30. 1/6
  31. −8/3
  32. −1/45
  33. Negative
  34. Positive
  35. Positive
  36. −7/6
  37. −8/9
  38. 5/7
  39. 22/21
  40. −1/2

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