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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 260 · 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.Which is smaller: −2/5 or −1/4? (a) −1/4 (b) −2/5
  2. 2.What is (−1/8) + 2/9? (a) −7/72 (b) 7/72 (c) 1/17 (d) −25/72
  3. 3.Is 2/4 positive or negative? (a) Positive (b) Negative
  4. 4.What is 2/3 + (−6/7)? (a) 4/21 (b) 32/21 (c) −4/21 (d) −2/5
  5. 5.Is −6/(−5) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−2/5) − 1/7? (a) −1/4 (b) −9/35 (c) 19/35 (d) −19/35
  7. 7.Which is bigger: −1/3 or −3/5? (a) −3/5 (b) −1/3
  8. 8.Write −8/36 in standard form (lowest terms, positive denominator). (a) −8/36 (b) −2/9 (c) −9/2 (d) 2/9
  9. 9.What is 7/8 − (−1/4)? (a) −9/8 (b) 2/3 (c) 9/8 (d) 5/8
  10. 10.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  11. 11.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) −7/4 (c) −4/7 (d) 4/7
  12. 12.Write −20/28 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −20/28
  13. 13.What is (−5/7) − 1/9? (a) −38/63 (b) −52/63 (c) 52/63 (d) −3/8
  14. 14.Which is smaller: −1/9 or −2/7? (a) −2/7 (b) −1/9
  15. 15.Which is smaller: −1/7 or −5/6? (a) −5/6 (b) −1/7
  16. 16.What is 1/8 − (−5/6)? (a) 3/7 (b) −23/24 (c) −17/24 (d) 23/24
  17. 17.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  18. 18.Is −5/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −1/2 or −6/7? (a) −1/2 (b) −6/7
  20. 20.What is 5/7 − (−1/8)? (a) 2/5 (b) 33/56 (c) −47/56 (d) 47/56
  21. 21.Write −6/54 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) 1/9 (d) −6/54
  22. 22.Which is smaller: −5/7 or −1/4? (a) −5/7 (b) −1/4
  23. 23.What is (−3/4) − 1/3? (a) −13/12 (b) 13/12 (c) −4/7 (d) −5/12
  24. 24.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −3/4 or −6/7? (a) −6/7 (b) −3/4
  26. 26.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  27. 27.What is (−3/8) + 1/8? (a) −1/4 (b) −1/2 (c) −1/8 (d) 1/4
  28. 28.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  29. 29.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.Write −35/40 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −35/40
  31. 31.Which is smaller: −3/5 or 1/9? (a) 1/9 (b) −3/5
  32. 32.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) −7/2 (c) 2/7 (d) −2/7
  33. 33.What is 3/4 − (−4/5)? (a) −31/20 (b) −1/20 (c) 7/9 (d) 31/20
  34. 34.Write −4/20 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −4/20
  35. 35.What is the additive inverse of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  36. 36.Is 8/5 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−4/7) + 3/5? (a) 1/35 (b) −1/35 (c) −1/12 (d) −41/35
  38. 38.Write −36/42 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −36/42 (d) −7/6
  39. 39.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  40. 40.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3

Answer key

  1. −2/5
  2. 7/72
  3. Positive
  4. −4/21
  5. Positive
  6. −19/35
  7. −1/3
  8. −2/9
  9. 9/8
  10. 4
  11. −4/7
  12. −5/7
  13. −52/63
  14. −2/7
  15. −5/6
  16. 23/24
  17. 7/6
  18. Positive
  19. −1/2
  20. 47/56
  21. −1/9
  22. −5/7
  23. −13/12
  24. Negative
  25. −6/7
  26. 5/2
  27. −1/4
  28. 5/3
  29. Negative
  30. −7/8
  31. −3/5
  32. −2/7
  33. 31/20
  34. −1/5
  35. 1/8
  36. Positive
  37. 1/35
  38. −6/7
  39. 7/2
  40. 3

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