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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 275 · 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 −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) −6/7 (c) −7/6 (d) 6/7
  2. 2.What is the additive inverse of −1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  3. 3.What is 1/2 + (−3/4)? (a) −1/3 (b) 1/4 (c) −1/4 (d) 5/4
  4. 4.What is the additive inverse of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  5. 5.Which is smaller: −2/7 or −1/5? (a) −1/5 (b) −2/7
  6. 6.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/7) + 3/5? (a) −16/35 (b) −26/35 (c) 16/35 (d) 1/6
  8. 8.What is (−5/6) + 2/3? (a) −1/3 (b) −3/2 (c) 1/6 (d) −1/6
  9. 9.Which is smaller: −2/9 or −6/7? (a) −2/9 (b) −6/7
  10. 10.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −3/15 (d) −5/1
  11. 11.What is (−1/2) + (−5/8)? (a) −9/8 (b) −3/5 (c) 9/8 (d) 1/8
  12. 12.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −20/36 (d) −5/9
  13. 13.Which is smaller: −1/9 or 3/7? (a) 3/7 (b) −1/9
  14. 14.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −5/25 (d) 1/5
  15. 15.Write −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −4/18 (c) −9/2 (d) −2/9
  16. 16.What is the additive inverse of −4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  17. 17.What is 5/6 + (−5/8)? (a) −5/24 (b) 0 (c) 35/24 (d) 5/24
  18. 18.Write −35/40 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −35/40 (c) −8/7 (d) −7/8
  19. 19.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  20. 20.Is −8/6 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−7/8) + (−7/8)? (a) 0 (b) 7/4 (c) −7/8 (d) −7/4
  22. 22.Is −2/3 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −7/9 or 2/5? (a) −7/9 (b) 2/5
  24. 24.What is 2/3 + (−1/2)? (a) 7/6 (b) 1/5 (c) −1/6 (d) 1/6
  25. 25.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  26. 26.What is (−2/9) − 2/7? (a) −1/4 (b) 4/63 (c) −32/63 (d) 32/63
  27. 27.Write −30/54 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −30/54 (d) 5/9
  28. 28.Write −3/9 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −3/9 (d) −3/1
  29. 29.What is 1/9 − (−1/8)? (a) 2/17 (b) −1/72 (c) −17/72 (d) 17/72
  30. 30.Write −2/8 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −2/8 (d) −4/1
  31. 31.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −5/40 (d) −8/1
  32. 32.What is (−5/7) + (−3/7)? (a) −4/7 (b) −8/7 (c) 8/7 (d) −2/7
  33. 33.Which is smaller: −1/4 or −2/9? (a) −2/9 (b) −1/4
  34. 34.What is (−1/3) + 1/4? (a) −7/12 (b) 1/12 (c) −1/12 (d) 0
  35. 35.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  36. 36.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  37. 37.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −2/16 (c) −1/8 (d) −8/1
  38. 38.What is (−4/9) + 3/7? (a) −1/16 (b) −55/63 (c) −1/63 (d) 1/63
  39. 39.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −10/12 (b) 5/6 (c) −5/6 (d) −6/5
  40. 40.What is (−5/7) + (−3/5)? (a) −4/35 (b) 46/35 (c) −2/3 (d) −46/35

Answer key

  1. −6/7
  2. 1/7
  3. −1/4
  4. −2/5
  5. −2/7
  6. Negative
  7. 16/35
  8. −1/6
  9. −6/7
  10. −1/5
  11. −9/8
  12. −5/9
  13. −1/9
  14. −1/5
  15. −2/9
  16. 4/9
  17. 5/24
  18. −7/8
  19. Negative
  20. Negative
  21. −7/4
  22. Negative
  23. 2/5
  24. 1/6
  25. 7/2
  26. −32/63
  27. −5/9
  28. −1/3
  29. 17/72
  30. −1/4
  31. −1/8
  32. −8/7
  33. −1/4
  34. −1/12
  35. Positive
  36. Negative
  37. −1/8
  38. −1/63
  39. −5/6
  40. −46/35

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