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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 257 · 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 5/9 − (−1/4)? (a) 11/36 (b) 6/13 (c) −29/36 (d) 29/36
  2. 2.What is (−5/7) − 1/3? (a) −3/5 (b) −22/21 (c) −8/21 (d) 22/21
  3. 3.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−3/4) + 1/6? (a) −11/12 (b) 7/12 (c) −7/12 (d) −1/5
  5. 5.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −1/5 or 1/6? (a) 1/6 (b) −1/5
  7. 7.What is 7/9 − (−3/7)? (a) −76/63 (b) 76/63 (c) 5/8 (d) 22/63
  8. 8.Which is bigger: −5/9 or 3/5? (a) 3/5 (b) −5/9
  9. 9.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  10. 10.Write −8/28 in standard form (lowest terms, positive denominator). (a) −8/28 (b) −2/7 (c) −7/2 (d) 2/7
  11. 11.What is the additive inverse of −1/7? (a) 7 (b) −1/7 (c) 1/7 (d) −7
  12. 12.What is the additive inverse of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  13. 13.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  14. 14.What is the additive inverse of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  15. 15.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −3/5 (c) −5/3 (d) 3/5
  16. 16.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −2/8 (c) 1/4 (d) −4/1
  17. 17.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −4/18
  18. 18.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/6) + 1/4? (a) −5/12 (b) 1/12 (c) −1/12 (d) 0
  20. 20.Which is bigger: −3/7 or −5/7? (a) −5/7 (b) −3/7
  21. 21.What is (−3/4) − (−3/5)? (a) 0 (b) −27/20 (c) 3/20 (d) −3/20
  22. 22.Which is bigger: −1/7 or 8/9? (a) −1/7 (b) 8/9
  23. 23.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  24. 24.What is 3/8 + (−5/8)? (a) −1/8 (b) −1/4 (c) 1/4 (d) 1
  25. 25.What is (−2/3) + (−7/9)? (a) 1/9 (b) 13/9 (c) −3/4 (d) −13/9
  26. 26.What is 4/9 − (−3/7)? (a) 1/63 (b) −55/63 (c) 7/16 (d) 55/63
  27. 27.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  29. 29.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  30. 30.Which is bigger: −1/5 or −5/6? (a) −1/5 (b) −5/6
  31. 31.Which is smaller: −1/9 or −6/7? (a) −1/9 (b) −6/7
  32. 32.What is the additive inverse of 1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  33. 33.What is (−4/5) + 1/9? (a) −31/45 (b) −41/45 (c) 31/45 (d) −3/14
  34. 34.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  35. 35.Which is smaller: −4/7 or −1/8? (a) −1/8 (b) −4/7
  36. 36.Write −40/45 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −40/45
  37. 37.What is 5/9 − (−1/6)? (a) −13/18 (b) 2/5 (c) 7/18 (d) 13/18
  38. 38.What is (−7/9) − 3/7? (a) −5/8 (b) 76/63 (c) −76/63 (d) −22/63
  39. 39.Write −42/48 in standard form (lowest terms, positive denominator). (a) −42/48 (b) −8/7 (c) 7/8 (d) −7/8
  40. 40.What is (−2/7) + (−2/5)? (a) 24/35 (b) 4/35 (c) −1/3 (d) −24/35

Answer key

  1. 29/36
  2. −22/21
  3. Negative
  4. −7/12
  5. Negative
  6. 1/6
  7. 76/63
  8. 3/5
  9. 3/2
  10. −2/7
  11. 1/7
  12. 1/3
  13. 2/9
  14. 7/9
  15. −3/5
  16. −1/4
  17. −2/9
  18. Positive
  19. 1/12
  20. −3/7
  21. −3/20
  22. 8/9
  23. 3/5
  24. −1/4
  25. −13/9
  26. 55/63
  27. Positive
  28. 7/8
  29. 8/5
  30. −1/5
  31. −6/7
  32. −1/2
  33. −31/45
  34. −5
  35. −4/7
  36. −8/9
  37. 13/18
  38. −76/63
  39. −7/8
  40. −24/35

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