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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 356 · 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.What is (−3/5) + 4/7? (a) −41/35 (b) −1/35 (c) 1/12 (d) 1/35
  2. 2.What is 2/7 − (−4/9)? (a) 46/63 (b) −10/63 (c) 3/8 (d) −46/63
  3. 3.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  4. 4.Is −7/6 positive or negative? (a) Positive (b) Negative
  5. 5.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  6. 6.Which is bigger: −1/5 or −1/9? (a) −1/5 (b) −1/9
  7. 7.Which is smaller: −2/5 or −4/5? (a) −4/5 (b) −2/5
  8. 8.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) −8/5 (c) −5/8 (d) 5/8
  9. 9.What is (−1/5) + (−2/3)? (a) 7/15 (b) 13/15 (c) −3/8 (d) −13/15
  10. 10.What is the additive inverse of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  11. 11.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −12/18 (c) −2/3 (d) 2/3
  12. 12.What is (−1/3) − (−4/7)? (a) 5/21 (b) 3/10 (c) −19/21 (d) −5/21
  13. 13.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) −2/5 (c) 2/5 (d) −5/2
  14. 14.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  15. 15.Which is smaller: −5/9 or −2/3? (a) −5/9 (b) −2/3
  16. 16.What is (−8/9) − (−3/5)? (a) 13/45 (b) −13/45 (c) −5/14 (d) −67/45
  17. 17.What is 3/4 − (−5/6)? (a) −19/12 (b) −1/12 (c) 4/5 (d) 19/12
  18. 18.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  19. 19.What is (−1/2) − (−2/5)? (a) −9/10 (b) −1/10 (c) 1/10 (d) 1/7
  20. 20.What is (−2/3) + 7/9? (a) −13/9 (b) −1/9 (c) 1/9 (d) 5/12
  21. 21.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −3/24 (c) 1/8 (d) −1/8
  22. 22.What is the additive inverse of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  23. 23.Which is smaller: −8/9 or −3/4? (a) −3/4 (b) −8/9
  24. 24.What is (−8/9) + 3/4? (a) 5/36 (b) −5/36 (c) −5/13 (d) −59/36
  25. 25.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 2/7 (c) −7/2 (d) 7/2
  26. 26.Is 3/7 positive or negative? (a) Negative (b) Positive
  27. 27.Write −10/45 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −10/45 (d) −2/9
  28. 28.Which is smaller: −3/4 or 2/3? (a) 2/3 (b) −3/4
  29. 29.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −6/16 (c) 3/8 (d) −8/3
  31. 31.Write −3/27 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) 1/9 (d) −3/27
  32. 32.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  33. 33.What is (−1/6) − (−5/8)? (a) 2/7 (b) −11/24 (c) 11/24 (d) −19/24
  34. 34.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −6/15 (d) 2/5
  35. 35.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −16/36 (c) −9/4 (d) −4/9
  36. 36.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −6/27 (d) 2/9
  37. 37.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of 2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  39. 39.What is (−5/7) − 3/4? (a) 1/28 (b) −41/28 (c) 41/28 (d) −8/11
  40. 40.Is 2/(−2) positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/35
  2. 46/63
  3. −9/2
  4. Negative
  5. −3
  6. −1/9
  7. −4/5
  8. −5/8
  9. −13/15
  10. −1/6
  11. −2/3
  12. 5/21
  13. −2/5
  14. −5/2
  15. −2/3
  16. −13/45
  17. 19/12
  18. −3/5
  19. −1/10
  20. 1/9
  21. −1/8
  22. 5/9
  23. −8/9
  24. −5/36
  25. 7/2
  26. Positive
  27. −2/9
  28. −3/4
  29. Positive
  30. −3/8
  31. −1/9
  32. 6
  33. 11/24
  34. −2/5
  35. −4/9
  36. −2/9
  37. Positive
  38. −2/9
  39. −41/28
  40. Negative

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