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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 822 · 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 −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −30/48
  2. 2.Write −10/12 in standard form (lowest terms, positive denominator). (a) −10/12 (b) 5/6 (c) −6/5 (d) −5/6
  3. 3.What is (−1/5) − (−4/5)? (a) −1 (b) −3/5 (c) 3/10 (d) 3/5
  4. 4.What is the additive inverse of 1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  5. 5.What is (−1/5) + (−2/7)? (a) 3/35 (b) −17/35 (c) 17/35 (d) −1/4
  6. 6.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  7. 7.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  8. 8.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −9/12
  9. 9.Write −15/18 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −15/18
  10. 10.Which is smaller: −1/4 or −2/5? (a) −1/4 (b) −2/5
  11. 11.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  12. 12.Which is bigger: −1/6 or −7/8? (a) −7/8 (b) −1/6
  13. 13.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  15. 15.Which is smaller: −5/9 or 1/9? (a) −5/9 (b) 1/9
  16. 16.What is (−3/7) + 2/7? (a) −1/7 (b) −5/7 (c) −1/14 (d) 1/7
  17. 17.What is (−5/6) − 1/3? (a) −1/2 (b) 7/6 (c) −2/3 (d) −7/6
  18. 18.What is (−1/9) − (−5/7)? (a) −52/63 (b) 1/4 (c) 38/63 (d) −38/63
  19. 19.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  20. 20.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) −5/9 (c) −9/5 (d) 5/9
  21. 21.What is (−1/7) − 1/3? (a) −1/5 (b) −10/21 (c) 4/21 (d) 10/21
  22. 22.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  23. 23.Is −5/6 positive or negative? (a) Positive (b) Negative
  24. 24.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −3/18 (d) 1/6
  25. 25.What is (−1/5) − 5/7? (a) 32/35 (b) −32/35 (c) 18/35 (d) −1/2
  26. 26.Which is smaller: −1/8 or −4/5? (a) −1/8 (b) −4/5
  27. 27.What is 5/7 + (−2/3)? (a) −1/21 (b) 1/21 (c) 29/21 (d) 3/10
  28. 28.Which is bigger: −3/7 or 8/9? (a) −3/7 (b) 8/9
  29. 29.Which is smaller: −3/5 or −5/6? (a) −3/5 (b) −5/6
  30. 30.What is 7/8 + (−2/5)? (a) −19/40 (b) 51/40 (c) 19/40 (d) 5/13
  31. 31.What is (−1/8) + (−3/5)? (a) −4/13 (b) 29/40 (c) 19/40 (d) −29/40
  32. 32.Which is bigger: −3/4 or 4/9? (a) −3/4 (b) 4/9
  33. 33.Is 3/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  35. 35.What is (−7/8) + 4/7? (a) 17/56 (b) −81/56 (c) −17/56 (d) −1/5
  36. 36.What is (−2/5) − (−5/8)? (a) −41/40 (b) 3/13 (c) −9/40 (d) 9/40
  37. 37.Which is bigger: −3/4 or 7/8? (a) 7/8 (b) −3/4
  38. 38.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −25/30 (d) −5/6
  39. 39.Which is bigger: −1/2 or −1/9? (a) −1/9 (b) −1/2
  40. 40.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) 2/7 (d) −7/2

Answer key

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

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