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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 953 · 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 −35/45 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −35/45 (d) −7/9
  2. 2.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −1/9 or −3/7? (a) −3/7 (b) −1/9
  4. 4.Which is bigger: −6/7 or −3/7? (a) −3/7 (b) −6/7
  5. 5.What is (−6/7) − (−4/9)? (a) −82/63 (b) 26/63 (c) −1/8 (d) −26/63
  6. 6.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −25/35 (d) 5/7
  7. 7.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.Is 1/7 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−5/9) + 3/8? (a) 13/72 (b) −2/17 (c) −13/72 (d) −67/72
  10. 10.Which is smaller: −3/8 or −7/9? (a) −7/9 (b) −3/8
  11. 11.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −3/8 or −2/5? (a) −3/8 (b) −2/5
  13. 13.What is 2/5 + (−5/9)? (a) −3/14 (b) 43/45 (c) −7/45 (d) 7/45
  14. 14.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −5/35 (c) −1/7 (d) −7/1
  15. 15.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  16. 16.Is −6/6 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−4/9) + 2/5? (a) 2/45 (b) −38/45 (c) −2/45 (d) −1/7
  18. 18.Which is smaller: −2/7 or −3/4? (a) −2/7 (b) −3/4
  19. 19.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−5/6) + 1/4? (a) 7/12 (b) −7/12 (c) −13/12 (d) −2/5
  21. 21.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  22. 22.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −12/32 (d) −8/3
  23. 23.Which is smaller: −2/3 or 3/8? (a) −2/3 (b) 3/8
  24. 24.What is (−5/6) + 4/7? (a) 11/42 (b) −1/13 (c) −11/42 (d) −59/42
  25. 25.What is 5/7 + (−5/7)? (a) 10/7 (b) 0
  26. 26.What is (−1/2) − (−1/6)? (a) −1/3 (b) 0 (c) 1/3 (d) −2/3
  27. 27.Which is bigger: −1/8 or −1/4? (a) −1/4 (b) −1/8
  28. 28.What is 1/5 − (−3/7)? (a) 1/3 (b) 22/35 (c) −22/35 (d) −8/35
  29. 29.What is (−1/6) − 1/9? (a) 5/18 (b) −5/18 (c) −2/15 (d) −1/18
  30. 30.What is (−1/6) − (−2/5)? (a) 7/30 (b) −7/30 (c) 1/11 (d) −17/30
  31. 31.What is (−1/6) − (−5/6)? (a) −1 (b) 1/3 (c) 2/3 (d) −2/3
  32. 32.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  33. 33.What is 4/9 − (−2/5)? (a) 2/45 (b) 3/7 (c) −38/45 (d) 38/45
  34. 34.Is −1/3 positive or negative? (a) Negative (b) Positive
  35. 35.Which is bigger: −4/7 or −5/6? (a) −5/6 (b) −4/7
  36. 36.What is (−2/5) + 6/7? (a) 1/3 (b) −44/35 (c) 16/35 (d) −16/35
  37. 37.What is 1/5 + (−3/8)? (a) 7/40 (b) −2/13 (c) 23/40 (d) −7/40
  38. 38.What is 1/2 − (−1/4)? (a) 3/4 (b) 1/3 (c) 1/4 (d) −3/4
  39. 39.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  40. 40.Is −5/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. −7/9
  2. Negative
  3. −3/7
  4. −3/7
  5. −26/63
  6. −5/7
  7. Positive
  8. Positive
  9. −13/72
  10. −7/9
  11. Negative
  12. −2/5
  13. −7/45
  14. −1/7
  15. −5/9
  16. Negative
  17. −2/45
  18. −3/4
  19. Positive
  20. −7/12
  21. Negative
  22. −3/8
  23. −2/3
  24. −11/42
  25. 0
  26. −1/3
  27. −1/8
  28. 22/35
  29. −5/18
  30. 7/30
  31. 2/3
  32. −7/2
  33. 38/45
  34. Negative
  35. −4/7
  36. 16/35
  37. −7/40
  38. 3/4
  39. −1/4
  40. Negative

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