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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 653 · 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 −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −14/18
  2. 2.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −15/18 (d) 5/6
  3. 3.What is (−2/5) − 1/2? (a) −3/7 (b) 1/10 (c) 9/10 (d) −9/10
  4. 4.Which is bigger: −4/9 or −5/9? (a) −5/9 (b) −4/9
  5. 5.Which is smaller: −1/2 or 8/9? (a) 8/9 (b) −1/2
  6. 6.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  7. 7.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −1/3 (d) −3/1
  8. 8.What is 1/9 − (−4/7)? (a) −43/63 (b) −29/63 (c) 5/16 (d) 43/63
  9. 9.What is (−5/7) + (−2/9)? (a) −59/63 (b) −31/63 (c) 59/63 (d) −7/16
  10. 10.What is (−1/3) + 1/8? (a) −11/24 (b) 5/24 (c) 0 (d) −5/24
  11. 11.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  12. 12.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −6/54 (c) −9/1 (d) −1/9
  13. 13.Is −6/7 positive or negative? (a) Positive (b) Negative
  14. 14.What is 7/9 − (−4/7)? (a) −85/63 (b) 13/63 (c) 85/63 (d) 11/16
  15. 15.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −2/1 (d) −1/2
  16. 16.Which is bigger: −3/4 or 1/2? (a) −3/4 (b) 1/2
  17. 17.Is 4/9 positive or negative? (a) Negative (b) Positive
  18. 18.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −8/14 (c) −4/7 (d) −7/4
  19. 19.What is (−2/5) + 3/4? (a) 1/9 (b) −7/20 (c) 7/20 (d) −23/20
  20. 20.Which is smaller: −3/4 or 5/8? (a) −3/4 (b) 5/8
  21. 21.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −3/6
  22. 22.Which is smaller: −2/7 or 1/8? (a) −2/7 (b) 1/8
  23. 23.What is (−1/7) + (−2/5)? (a) 9/35 (b) −19/35 (c) 19/35 (d) −1/4
  24. 24.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  25. 25.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  26. 26.What is (−2/7) + (−4/7)? (a) 6/7 (b) 2/7 (c) −6/7 (d) −3/7
  27. 27.What is (−6/7) − (−7/9)? (a) 5/63 (b) −103/63 (c) 1/16 (d) −5/63
  28. 28.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  29. 29.Which is bigger: −4/5 or 1/5? (a) −4/5 (b) 1/5
  30. 30.What is (−7/9) − 1/7? (a) 58/63 (b) −40/63 (c) −1/2 (d) −58/63
  31. 31.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  32. 32.Which is bigger: −3/7 or −1/6? (a) −3/7 (b) −1/6
  33. 33.What is (−1/9) − 3/5? (a) −2/7 (b) 32/45 (c) −32/45 (d) 22/45
  34. 34.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  35. 35.Write −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) 4/5 (c) −4/5 (d) −5/4
  36. 36.What is (−1/4) − (−1/6)? (a) −1/12 (b) −5/12 (c) 0 (d) 1/12
  37. 37.Which is bigger: −8/9 or 7/8? (a) −8/9 (b) 7/8
  38. 38.Which is smaller: −7/9 or −1/7? (a) −7/9 (b) −1/7
  39. 39.Is 3/4 positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4

Answer key

  1. −7/9
  2. −5/6
  3. −9/10
  4. −4/9
  5. −1/2
  6. 2/5
  7. −1/3
  8. 43/63
  9. −59/63
  10. −5/24
  11. 3
  12. −1/9
  13. Negative
  14. 85/63
  15. −1/2
  16. 1/2
  17. Positive
  18. −4/7
  19. 7/20
  20. −3/4
  21. −1/2
  22. −2/7
  23. −19/35
  24. −3
  25. 5
  26. −6/7
  27. −5/63
  28. −9/8
  29. 1/5
  30. −58/63
  31. 4/3
  32. −1/6
  33. −32/45
  34. −8
  35. −4/5
  36. −1/12
  37. 7/8
  38. −7/9
  39. Positive
  40. 4

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