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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 143 · 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: −1/4 or −8/9? (a) −1/4 (b) −8/9
  2. 2.What is (−1/3) − 1/6? (a) −2/9 (b) −1/2 (c) −1/6 (d) 1/2
  3. 3.Which is bigger: −5/7 or 5/9? (a) −5/7 (b) 5/9
  4. 4.Write −8/20 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −8/20 (d) −2/5
  5. 5.Is −8/7 positive or negative? (a) Positive (b) Negative
  6. 6.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  7. 7.What is (−7/9) + 1/5? (a) −3/7 (b) 26/45 (c) −44/45 (d) −26/45
  8. 8.What is (−5/8) − (−1/5)? (a) −17/40 (b) 17/40 (c) −33/40 (d) −4/13
  9. 9.What is (−6/7) − (−5/6)? (a) −71/42 (b) 1/42 (c) −1/42 (d) −1/13
  10. 10.What is the additive inverse of 1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  11. 11.Write −9/15 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −9/15
  12. 12.Is 8/8 positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  14. 14.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  15. 15.What is (−2/3) + (−5/8)? (a) −1/24 (b) 31/24 (c) −7/11 (d) −31/24
  16. 16.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−1/9) + (−8/9)? (a) 7/9 (b) −1/2 (c) 1 (d) −1
  18. 18.Which is bigger: −5/8 or −5/6? (a) −5/6 (b) −5/8
  19. 19.Which is smaller: −3/5 or 1/4? (a) 1/4 (b) −3/5
  20. 20.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  22. 22.What is (−3/4) + (−7/9)? (a) −55/36 (b) −10/13 (c) 1/36 (d) 55/36
  23. 23.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −2/8 (c) −4/1 (d) −1/4
  24. 24.What is (−5/9) + (−6/7)? (a) −11/16 (b) 89/63 (c) −89/63 (d) 19/63
  25. 25.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  26. 26.Which is bigger: −2/5 or −6/7? (a) −2/5 (b) −6/7
  27. 27.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −12/32 (d) −8/3
  28. 28.What is the additive inverse of −3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  29. 29.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  30. 30.Which is bigger: −2/7 or −7/8? (a) −2/7 (b) −7/8
  31. 31.Which is bigger: −8/9 or 1/3? (a) −8/9 (b) 1/3
  32. 32.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  33. 33.What is (−1/5) + (−2/7)? (a) −17/35 (b) 3/35 (c) 17/35 (d) −1/4
  34. 34.Is −4/2 positive or negative? (a) Negative (b) Positive
  35. 35.Which is smaller: −3/5 or −1/5? (a) −1/5 (b) −3/5
  36. 36.Write −5/20 in standard form (lowest terms, positive denominator). (a) −5/20 (b) 1/4 (c) −4/1 (d) −1/4
  37. 37.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −18/48 (c) 3/8 (d) −3/8
  38. 38.Which is bigger: −4/9 or −1/8? (a) −1/8 (b) −4/9
  39. 39.Which is smaller: −4/9 or 7/9? (a) 7/9 (b) −4/9
  40. 40.Which is bigger: −1/2 or −5/7? (a) −1/2 (b) −5/7

Answer key

  1. −8/9
  2. −1/2
  3. 5/9
  4. −2/5
  5. Negative
  6. −9/7
  7. −26/45
  8. −17/40
  9. −1/42
  10. −1/6
  11. −3/5
  12. Positive
  13. 3
  14. 9/4
  15. −31/24
  16. Positive
  17. −1
  18. −5/8
  19. −3/5
  20. Negative
  21. −3/8
  22. −55/36
  23. −1/4
  24. −89/63
  25. −8/3
  26. −2/5
  27. −3/8
  28. 3/8
  29. 5/2
  30. −2/7
  31. 1/3
  32. 5/3
  33. −17/35
  34. Negative
  35. −3/5
  36. −1/4
  37. −3/8
  38. −1/8
  39. −4/9
  40. −1/2

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