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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 314 · 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 18/(−21) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −18/21
  2. 2.What is 4/5 + (−8/9)? (a) −4/45 (b) −2/7 (c) 4/45 (d) 76/45
  3. 3.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  4. 4.Which is bigger: −1/6 or −5/6? (a) −5/6 (b) −1/6
  5. 5.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) −7/9 (c) 7/9 (d) −9/7
  6. 6.Write −5/10 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −5/10 (d) 1/2
  7. 7.What is (−5/6) + (−2/5)? (a) −37/30 (b) −7/11 (c) −13/30 (d) 37/30
  8. 8.What is (−4/9) − (−4/7)? (a) 0 (b) −8/63 (c) 8/63 (d) −64/63
  9. 9.Which is smaller: −1/9 or −2/3? (a) −1/9 (b) −2/3
  10. 10.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −9/15
  11. 11.What is (−1/4) + (−5/8)? (a) 3/8 (b) 7/8 (c) −1/2 (d) −7/8
  12. 12.What is (−6/7) + 1/5? (a) −37/35 (b) 23/35 (c) −5/12 (d) −23/35
  13. 13.What is 4/5 + (−1/7)? (a) −23/35 (b) 33/35 (c) 23/35 (d) 1/4
  14. 14.What is (−1/2) − (−1/6)? (a) 1/3 (b) −1/3 (c) −2/3 (d) 0
  15. 15.What is (−5/8) + 1/8? (a) −1/4 (b) 1/2 (c) −3/4 (d) −1/2
  16. 16.Which is bigger: −1/2 or 3/5? (a) 3/5 (b) −1/2
  17. 17.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  18. 18.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −2/18 (d) −9/1
  19. 19.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −8/18 (c) 4/9 (d) −4/9
  20. 20.What is 7/9 + (−2/7)? (a) 31/63 (b) 5/16 (c) 67/63 (d) −31/63
  21. 21.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  22. 22.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) −5/9 (c) 5/9 (d) −9/5
  23. 23.What is (−1/3) + 7/8? (a) −29/24 (b) 6/11 (c) −13/24 (d) 13/24
  24. 24.What is 2/5 − (−2/3)? (a) −16/15 (b) 1/2 (c) −4/15 (d) 16/15
  25. 25.What is (−1/4) + (−3/8)? (a) 5/8 (b) −1/3 (c) 1/8 (d) −5/8
  26. 26.Which is smaller: −4/9 or −3/4? (a) −4/9 (b) −3/4
  27. 27.Which is bigger: −7/8 or −4/9? (a) −7/8 (b) −4/9
  28. 28.What is 3/8 + (−2/5)? (a) 1/40 (b) 31/40 (c) 1/13 (d) −1/40
  29. 29.Which is bigger: −1/5 or 2/7? (a) −1/5 (b) 2/7
  30. 30.Is −8/2 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−1/9) + (−5/6)? (a) −2/5 (b) −17/18 (c) 13/18 (d) 17/18
  32. 32.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  33. 33.What is the additive inverse of 3/8? (a) 3/8 (b) 8/3 (c) −8/3 (d) −3/8
  34. 34.What is (−5/9) + (−8/9)? (a) −13/18 (b) 13/9 (c) −13/9 (d) 1/3
  35. 35.Is 1/2 positive or negative? (a) Negative (b) Positive
  36. 36.Is 6/8 positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  38. 38.What is 2/9 + (−2/7)? (a) 0 (b) 32/63 (c) −4/63 (d) 4/63
  39. 39.Which is bigger: −1/9 or 2/9? (a) −1/9 (b) 2/9
  40. 40.Which is bigger: −1/4 or −1/2? (a) −1/4 (b) −1/2

Answer key

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

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