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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 142 · 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 (−2/3) + 3/5? (a) −1/15 (b) 1/15 (c) 1/8 (d) −19/15
  2. 2.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  3. 3.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −1/7 or −2/5? (a) −2/5 (b) −1/7
  5. 5.Which is bigger: −2/3 or 4/7? (a) 4/7 (b) −2/3
  6. 6.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −5/45 (c) −9/1 (d) −1/9
  7. 7.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  8. 8.Write −5/35 in standard form (lowest terms, positive denominator). (a) −5/35 (b) −7/1 (c) 1/7 (d) −1/7
  9. 9.What is (−1/6) + 5/6? (a) 1/3 (b) −1 (c) 2/3 (d) −2/3
  10. 10.Is 7/4 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−6/7) + 2/9? (a) 40/63 (b) −1/4 (c) −40/63 (d) −68/63
  12. 12.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  13. 13.What is (−5/9) + (−3/8)? (a) −8/17 (b) 67/72 (c) −13/72 (d) −67/72
  14. 14.What is 2/3 + (−1/8)? (a) 13/24 (b) −13/24 (c) 1/11 (d) 19/24
  15. 15.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) −7/9 (d) 7/9
  16. 16.Which is smaller: −1/8 or −7/8? (a) −1/8 (b) −7/8
  17. 17.What is (−5/8) + (−5/6)? (a) −35/24 (b) −5/7 (c) 35/24 (d) 5/24
  18. 18.Which is smaller: −5/9 or 2/3? (a) −5/9 (b) 2/3
  19. 19.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) 1/2 (c) −1/2 (d) −2/1
  20. 20.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −10/25
  21. 21.Is −9/9 positive or negative? (a) Positive (b) Negative
  22. 22.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) 5/7 (d) −7/5
  23. 23.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  24. 24.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −5/20 (b) −1/4 (c) −4/1 (d) 1/4
  25. 25.Is −3/7 positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −2/5 or −5/8? (a) −2/5 (b) −5/8
  27. 27.What is 1/9 − (−2/9)? (a) −1/3 (b) 1/3 (c) 1/6 (d) −1/9
  28. 28.What is 8/9 + (−4/5)? (a) 2/7 (b) −4/45 (c) 76/45 (d) 4/45
  29. 29.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −16/20 (b) −5/4 (c) −4/5 (d) 4/5
  30. 30.Write −30/54 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −30/54
  31. 31.Which is smaller: −5/9 or −6/7? (a) −6/7 (b) −5/9
  32. 32.Is 4/5 positive or negative? (a) Positive (b) Negative
  33. 33.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −12/18
  34. 34.What is (−1/2) + 3/7? (a) −1/14 (b) 2/9 (c) 1/14 (d) −13/14
  35. 35.What is (−3/7) + (−2/9)? (a) 41/63 (b) −5/16 (c) −13/63 (d) −41/63
  36. 36.What is (−5/7) + (−8/9)? (a) 11/63 (b) −101/63 (c) −13/16 (d) 101/63
  37. 37.What is 1/2 + (−4/5)? (a) 3/10 (b) −3/7 (c) −3/10 (d) 13/10
  38. 38.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−5/6) − 2/9? (a) −7/15 (b) 19/18 (c) −11/18 (d) −19/18
  40. 40.What is 1/3 + (−2/5)? (a) 11/15 (b) −1/15 (c) −1/8 (d) 1/15

Answer key

  1. −1/15
  2. 7/2
  3. Positive
  4. −2/5
  5. 4/7
  6. −1/9
  7. −4/3
  8. −1/7
  9. 2/3
  10. Positive
  11. −40/63
  12. −8/3
  13. −67/72
  14. 13/24
  15. −7/9
  16. −7/8
  17. −35/24
  18. −5/9
  19. −1/2
  20. −2/5
  21. Negative
  22. −5/7
  23. −5/2
  24. −1/4
  25. Negative
  26. −2/5
  27. 1/3
  28. 4/45
  29. −4/5
  30. −5/9
  31. −6/7
  32. Positive
  33. −2/3
  34. −1/14
  35. −41/63
  36. −101/63
  37. −3/10
  38. Negative
  39. −19/18
  40. −1/15

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