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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 528 · 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 24/(−28) in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) 6/7 (d) −6/7
  2. 2.Which is bigger: −4/5 or −3/8? (a) −3/8 (b) −4/5
  3. 3.Which is smaller: −5/7 or 1/5? (a) −5/7 (b) 1/5
  4. 4.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −9/21
  5. 5.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −12/16 (c) −4/3 (d) 3/4
  6. 6.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 8/9 (c) −8/9 (d) 9/8
  7. 7.What is (−3/8) + (−8/9)? (a) 91/72 (b) −11/17 (c) −91/72 (d) 37/72
  8. 8.What is the additive inverse of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  9. 9.Is −9/4 positive or negative? (a) Negative (b) Positive
  10. 10.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) −7/1 (c) 1/7 (d) −1/7
  11. 11.Is −6/7 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−8/9) − 1/8? (a) −73/72 (b) −9/17 (c) 73/72 (d) −55/72
  13. 13.Which is bigger: −6/7 or −4/7? (a) −6/7 (b) −4/7
  14. 14.What is (−4/7) − (−1/3)? (a) −5/21 (b) 5/21 (c) −3/10 (d) −19/21
  15. 15.What is (−3/5) + (−1/8)? (a) −19/40 (b) −4/13 (c) −29/40 (d) 29/40
  16. 16.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) 1/5 (d) −1/5
  17. 17.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  18. 18.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −12/15
  19. 19.Is −9/(−9) positive or negative? (a) Positive (b) Negative
  20. 20.What is (−3/8) + 4/9? (a) −5/72 (b) −59/72 (c) 5/72 (d) 1/17
  21. 21.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  22. 22.What is 1/9 − (−2/9)? (a) −1/9 (b) −1/3 (c) 1/6 (d) 1/3
  23. 23.Which is bigger: −4/9 or −2/5? (a) −2/5 (b) −4/9
  24. 24.What is (−7/9) − 1/3? (a) −10/9 (b) −2/3 (c) 10/9 (d) −4/9
  25. 25.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  26. 26.What is (−3/7) − 2/3? (a) 23/21 (b) −23/21 (c) −1/2 (d) 5/21
  27. 27.What is 1/2 − (−3/4)? (a) 5/4 (b) −1/4 (c) 2/3 (d) −5/4
  28. 28.What is (−5/9) + 1/2? (a) −19/18 (b) 1/18 (c) −4/11 (d) −1/18
  29. 29.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −20/25 (b) −5/4 (c) 4/5 (d) −4/5
  30. 30.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −8/9 (c) 8/9 (d) −9/8
  31. 31.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  32. 32.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/3) + (−1/7)? (a) −10/21 (b) −4/21 (c) −1/5 (d) 10/21
  34. 34.Is 2/8 positive or negative? (a) Negative (b) Positive
  35. 35.What is 5/7 − (−3/5)? (a) 46/35 (b) 4/35 (c) 2/3 (d) −46/35
  36. 36.Is −8/7 positive or negative? (a) Negative (b) Positive
  37. 37.Is 1/4 positive or negative? (a) Positive (b) Negative
  38. 38.Write −5/15 in standard form (lowest terms, positive denominator). (a) −5/15 (b) −3/1 (c) 1/3 (d) −1/3
  39. 39.Which is smaller: −1/2 or −1/3? (a) −1/2 (b) −1/3
  40. 40.What is (−7/8) − 3/8? (a) −5/4 (b) −1/2 (c) 5/4 (d) −5/8

Answer key

  1. −6/7
  2. −3/8
  3. −5/7
  4. −3/7
  5. −3/4
  6. −9/8
  7. −91/72
  8. −5/8
  9. Negative
  10. −1/7
  11. Negative
  12. −73/72
  13. −4/7
  14. −5/21
  15. −29/40
  16. −1/5
  17. Negative
  18. −4/5
  19. Positive
  20. 5/72
  21. 7/4
  22. 1/3
  23. −2/5
  24. −10/9
  25. 2/5
  26. −23/21
  27. 5/4
  28. −1/18
  29. −4/5
  30. −8/9
  31. −7/4
  32. Negative
  33. −10/21
  34. Positive
  35. 46/35
  36. Negative
  37. Positive
  38. −1/3
  39. −1/2
  40. −5/4

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