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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 141 · 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) −18/21 (b) 6/7 (c) −6/7 (d) −7/6
  2. 2.What is 4/5 + (−3/5)? (a) 1/10 (b) −1/5 (c) 1/5 (d) 7/5
  3. 3.What is 5/7 + (−3/5)? (a) 4/35 (b) 1/6 (c) 46/35 (d) −4/35
  4. 4.What is (−7/9) + 5/6? (a) −29/18 (b) 1/18 (c) −2/15 (d) −1/18
  5. 5.Which is bigger: −5/8 or 2/3? (a) −5/8 (b) 2/3
  6. 6.What is (−2/3) + (−5/9)? (a) 11/9 (b) −1/9 (c) −7/12 (d) −11/9
  7. 7.What is (−1/7) − 1/7? (a) −2/7 (b) 0 (c) −1/7 (d) 2/7
  8. 8.What is 3/5 − (−1/8)? (a) −29/40 (b) 4/13 (c) 29/40 (d) 19/40
  9. 9.Is 3/7 positive or negative? (a) Positive (b) Negative
  10. 10.Is −5/(−7) positive or negative? (a) Positive (b) Negative
  11. 11.Write −6/42 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −7/1 (d) −6/42
  12. 12.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) 6/7 (c) −6/7 (d) −7/6
  13. 13.Is 5/4 positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −1/2 or −1/9? (a) −1/9 (b) −1/2
  15. 15.Which is smaller: −5/8 or −7/9? (a) −5/8 (b) −7/9
  16. 16.What is the additive inverse of 7/9? (a) 7/9 (b) −7/9 (c) −9/7 (d) 9/7
  17. 17.What is (−5/6) + 4/9? (a) −7/18 (b) −1/15 (c) −23/18 (d) 7/18
  18. 18.What is (−5/9) − (−5/7)? (a) −80/63 (b) 10/63 (c) 0 (d) −10/63
  19. 19.What is 4/9 + (−2/9)? (a) 2/9 (b) 1/9 (c) 2/3 (d) −2/9
  20. 20.Which is bigger: −2/3 or −1/2? (a) −2/3 (b) −1/2
  21. 21.Which is smaller: −1/7 or −5/6? (a) −1/7 (b) −5/6
  22. 22.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) 1/7 (c) −1/7 (d) −7/1
  23. 23.Which is smaller: −1/5 or −1/4? (a) −1/4 (b) −1/5
  24. 24.Which is smaller: −4/7 or −2/7? (a) −4/7 (b) −2/7
  25. 25.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) 2/7 (d) −7/2
  26. 26.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  27. 27.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −4/3 (d) −3/4
  28. 28.Which is bigger: −4/5 or 1/5? (a) −4/5 (b) 1/5
  29. 29.What is 5/7 − (−5/9)? (a) 80/63 (b) 5/8 (c) −80/63 (d) 10/63
  30. 30.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −3/18 (d) 1/6
  31. 31.What is (−8/9) − 2/7? (a) 74/63 (b) −74/63 (c) −5/8 (d) −38/63
  32. 32.What is 1/3 − (−5/9)? (a) −8/9 (b) −2/9 (c) 8/9 (d) 1/2
  33. 33.What is 5/8 + (−4/7)? (a) −3/56 (b) 67/56 (c) 3/56 (d) 1/15
  34. 34.What is (−5/9) − 5/8? (a) 85/72 (b) −10/17 (c) −85/72 (d) 5/72
  35. 35.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−4/9) − (−1/2)? (a) −17/18 (b) −3/11 (c) 1/18 (d) −1/18
  37. 37.What is (−1/9) + (−2/5)? (a) −3/14 (b) −23/45 (c) 23/45 (d) 13/45
  38. 38.What is 5/9 + (−1/3)? (a) −2/9 (b) 1/3 (c) 2/9 (d) 8/9
  39. 39.Which is bigger: −5/8 or −1/6? (a) −5/8 (b) −1/6
  40. 40.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −20/45 (b) −4/9 (c) −9/4 (d) 4/9

Answer key

  1. −6/7
  2. 1/5
  3. 4/35
  4. 1/18
  5. 2/3
  6. −11/9
  7. −2/7
  8. 29/40
  9. Positive
  10. Positive
  11. −1/7
  12. −6/7
  13. Positive
  14. −1/9
  15. −7/9
  16. −7/9
  17. −7/18
  18. 10/63
  19. 2/9
  20. −1/2
  21. −5/6
  22. −1/7
  23. −1/4
  24. −4/7
  25. −2/7
  26. 5
  27. −3/4
  28. 1/5
  29. 80/63
  30. −1/6
  31. −74/63
  32. 8/9
  33. 3/56
  34. −85/72
  35. Positive
  36. 1/18
  37. −23/45
  38. 2/9
  39. −1/6
  40. −4/9

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