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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 286 · 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 −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/4 (c) −1/2 (d) −2/1
  2. 2.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −6/10
  3. 3.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  4. 4.What is 8/9 − (−7/9)? (a) 1/9 (b) 5/3 (c) 5/6 (d) −5/3
  5. 5.Is 3/4 positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  7. 7.What is 1/2 − (−1/7)? (a) 5/14 (b) 2/9 (c) 9/14 (d) −9/14
  8. 8.Write −18/42 in standard form (lowest terms, positive denominator). (a) −18/42 (b) −3/7 (c) 3/7 (d) −7/3
  9. 9.Which is smaller: −4/5 or −3/7? (a) −4/5 (b) −3/7
  10. 10.Which is smaller: −1/8 or −2/9? (a) −1/8 (b) −2/9
  11. 11.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−2/5) − 8/9? (a) 22/45 (b) −58/45 (c) −5/7 (d) 58/45
  13. 13.What is (−1/8) − (−4/7)? (a) 25/56 (b) 1/5 (c) −39/56 (d) −25/56
  14. 14.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −24/28 (d) −6/7
  15. 15.What is (−1/3) + (−1/6)? (a) −1/6 (b) −2/9 (c) 1/2 (d) −1/2
  16. 16.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −10/14 (b) −5/7 (c) −7/5 (d) 5/7
  17. 17.What is (−5/9) + 1/3? (a) −2/9 (b) 2/9 (c) −8/9 (d) −1/3
  18. 18.What is 1/2 − (−3/4)? (a) −1/4 (b) −5/4 (c) 2/3 (d) 5/4
  19. 19.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) −9/8 (d) 8/9
  20. 20.What is the additive inverse of −5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  21. 21.Which is bigger: −2/9 or −2/7? (a) −2/9 (b) −2/7
  22. 22.Which is smaller: −2/5 or 5/6? (a) −2/5 (b) 5/6
  23. 23.What is (−5/7) − (−4/9)? (a) 17/63 (b) −17/63 (c) −1/16 (d) −73/63
  24. 24.Which is smaller: −1/4 or −4/9? (a) −4/9 (b) −1/4
  25. 25.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  26. 26.What is (−4/7) + 1/5? (a) −13/35 (b) −1/4 (c) −27/35 (d) 13/35
  27. 27.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −8/9 or 7/8? (a) 7/8 (b) −8/9
  29. 29.Which is smaller: −5/9 or 3/8? (a) 3/8 (b) −5/9
  30. 30.What is (−5/8) − (−2/7)? (a) −19/56 (b) −51/56 (c) 19/56 (d) −1/5
  31. 31.What is (−5/8) + (−2/5)? (a) 41/40 (b) −9/40 (c) −7/13 (d) −41/40
  32. 32.Is 2/8 positive or negative? (a) Positive (b) Negative
  33. 33.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  34. 34.Which is bigger: −3/5 or −2/5? (a) −3/5 (b) −2/5
  35. 35.Is 3/7 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −2/7 or −2/3? (a) −2/7 (b) −2/3
  37. 37.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  38. 38.What is (−4/9) − (−3/8)? (a) 5/72 (b) −1/17 (c) −5/72 (d) −59/72
  39. 39.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) −2/9 (d) 2/9
  40. 40.What is (−2/5) − 3/7? (a) 1/35 (b) 29/35 (c) −29/35 (d) −5/12

Answer key

  1. −1/2
  2. −3/5
  3. −7/2
  4. 5/3
  5. Positive
  6. −3
  7. 9/14
  8. −3/7
  9. −4/5
  10. −2/9
  11. Negative
  12. −58/45
  13. 25/56
  14. −6/7
  15. −1/2
  16. −5/7
  17. −2/9
  18. 5/4
  19. −8/9
  20. 5/8
  21. −2/9
  22. −2/5
  23. −17/63
  24. −4/9
  25. −9/4
  26. −13/35
  27. Positive
  28. −8/9
  29. −5/9
  30. −19/56
  31. −41/40
  32. Positive
  33. −3/7
  34. −2/5
  35. Positive
  36. −2/7
  37. 9/2
  38. −5/72
  39. −2/9
  40. −29/35

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