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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 911 · 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.Is −5/9 positive or negative? (a) Negative (b) Positive
  2. 2.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −3/18 (d) 1/6
  3. 3.What is 5/7 + (−3/4)? (a) 1/28 (b) −1/28 (c) 41/28 (d) 2/11
  4. 4.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  5. 5.What is 5/7 + (−1/5)? (a) −18/35 (b) 32/35 (c) 1/3 (d) 18/35
  6. 6.Is −1/7 positive or negative? (a) Negative (b) Positive
  7. 7.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  8. 8.What is 8/9 + (−8/9)? (a) 0 (b) 16/9
  9. 9.Which is bigger: −3/7 or −2/9? (a) −3/7 (b) −2/9
  10. 10.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  11. 11.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −15/25 (d) −3/5
  12. 12.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) 1/5 (c) −1/5 (d) −5/1
  13. 13.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −5/20
  14. 14.What is (−5/6) + (−1/4)? (a) −13/12 (b) −3/5 (c) 13/12 (d) −7/12
  15. 15.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  16. 16.Which is bigger: −1/6 or 2/9? (a) 2/9 (b) −1/6
  17. 17.What is the reciprocal (multiplicative inverse) of −6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  18. 18.What is (−1/5) − 1/8? (a) −13/40 (b) −3/40 (c) −2/13 (d) 13/40
  19. 19.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −18/42
  20. 20.What is the additive inverse of −1/6? (a) −1/6 (b) 6 (c) −6 (d) 1/6
  21. 21.Which is bigger: −2/5 or 5/6? (a) −2/5 (b) 5/6
  22. 22.What is (−3/5) + (−4/7)? (a) −41/35 (b) −7/12 (c) 41/35 (d) −1/35
  23. 23.Which is bigger: −3/5 or −4/7? (a) −3/5 (b) −4/7
  24. 24.Which is smaller: −3/8 or −1/4? (a) −1/4 (b) −3/8
  25. 25.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  26. 26.What is (−8/9) + (−1/9)? (a) −1/2 (b) −1 (c) −7/9 (d) 1
  27. 27.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) −4/5 (c) 4/5 (d) −5/4
  28. 28.What is 1/9 − (−5/7)? (a) −52/63 (b) −38/63 (c) 52/63 (d) 3/8
  29. 29.What is the additive inverse of −4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  30. 30.Which is bigger: −1/6 or −3/7? (a) −1/6 (b) −3/7
  31. 31.What is the additive inverse of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  32. 32.What is 3/4 + (−4/9)? (a) 11/36 (b) 43/36 (c) −1/13 (d) −11/36
  33. 33.What is (−2/7) − (−1/4)? (a) 1/28 (b) −1/11 (c) −1/28 (d) −15/28
  34. 34.What is (−1/6) + 3/4? (a) −11/12 (b) −7/12 (c) 1/5 (d) 7/12
  35. 35.Is 3/7 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/4) − (−1/2)? (a) 0 (b) −1/4 (c) −3/4 (d) 1/4
  37. 37.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  38. 38.Which is bigger: −2/3 or 7/8? (a) −2/3 (b) 7/8
  39. 39.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −21/24
  40. 40.Is 7/3 positive or negative? (a) Positive (b) Negative

Answer key

  1. Negative
  2. −1/6
  3. −1/28
  4. 9/5
  5. 18/35
  6. Negative
  7. Negative
  8. 0
  9. −2/9
  10. Negative
  11. −3/5
  12. −1/5
  13. −1/4
  14. −13/12
  15. 2/5
  16. 2/9
  17. −7/6
  18. −13/40
  19. −3/7
  20. 1/6
  21. 5/6
  22. −41/35
  23. −4/7
  24. −3/8
  25. −5/3
  26. −1
  27. −4/5
  28. 52/63
  29. 4/7
  30. −1/6
  31. −3/5
  32. 11/36
  33. −1/28
  34. 7/12
  35. Positive
  36. 1/4
  37. 5
  38. 7/8
  39. −7/8
  40. Positive

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