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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 53 · 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 (−4/9) − 1/8? (a) 41/72 (b) −5/17 (c) −23/72 (d) −41/72
  2. 2.What is the additive inverse of 1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  3. 3.Which is bigger: −5/7 or −3/5? (a) −5/7 (b) −3/5
  4. 4.What is 7/8 + (−1/2)? (a) 3/5 (b) 11/8 (c) −3/8 (d) 3/8
  5. 5.What is (−5/6) + (−1/7)? (a) −29/42 (b) −6/13 (c) −41/42 (d) 41/42
  6. 6.Is 3/7 positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −1/8 or −7/9? (a) −7/9 (b) −1/8
  8. 8.What is the additive inverse of 3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  9. 9.What is 4/5 − (−1/3)? (a) 7/15 (b) −17/15 (c) 5/8 (d) 17/15
  10. 10.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) 1/7 (d) −4/28
  11. 11.Is −2/5 positive or negative? (a) Positive (b) Negative
  12. 12.What is 3/7 − (−5/6)? (a) 8/13 (b) −17/42 (c) 53/42 (d) −53/42
  13. 13.Which is smaller: −1/2 or −1/4? (a) −1/4 (b) −1/2
  14. 14.Write −12/14 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −12/14 (d) −7/6
  15. 15.What is (−1/7) + (−1/5)? (a) 2/35 (b) −12/35 (c) −1/6 (d) 12/35
  16. 16.Which is bigger: −5/9 or 1/7? (a) −5/9 (b) 1/7
  17. 17.Is −9/3 positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −3/8 or −3/7? (a) −3/7 (b) −3/8
  19. 19.What is (−2/3) − 1/7? (a) −3/10 (b) 17/21 (c) −17/21 (d) −11/21
  20. 20.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −6/54 (d) −9/1
  21. 21.What is (−4/7) − (−3/7)? (a) −1 (b) 1/7 (c) −1/14 (d) −1/7
  22. 22.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  23. 23.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  24. 24.Which is bigger: −2/3 or −2/7? (a) −2/3 (b) −2/7
  25. 25.What is the additive inverse of 5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  26. 26.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  27. 27.What is (−2/9) + 2/5? (a) 8/45 (b) −28/45 (c) 0 (d) −8/45
  28. 28.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  29. 29.Write −15/40 in standard form (lowest terms, positive denominator). (a) −15/40 (b) −8/3 (c) −3/8 (d) 3/8
  30. 30.What is 5/7 − (−1/8)? (a) 33/56 (b) 47/56 (c) 2/5 (d) −47/56
  31. 31.What is (−3/8) − 2/7? (a) −5/56 (b) −1/3 (c) 37/56 (d) −37/56
  32. 32.What is (−7/8) + 5/8? (a) −1/8 (b) −1/4 (c) 1/4 (d) −3/2
  33. 33.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −5/1 (c) −1/5 (d) 1/5
  34. 34.What is (−2/7) + 1/9? (a) −1/16 (b) −11/63 (c) 11/63 (d) −25/63
  35. 35.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−2/9) − 1/9? (a) −1/6 (b) −1/9 (c) 1/3 (d) −1/3
  37. 37.What is (−4/5) − (−7/9)? (a) −71/45 (b) −1/45 (c) 3/14 (d) 1/45
  38. 38.Which is bigger: −1/8 or −2/5? (a) −1/8 (b) −2/5
  39. 39.Which is bigger: −1/3 or −1/5? (a) −1/5 (b) −1/3
  40. 40.What is (−2/9) − (−3/5)? (a) −37/45 (b) −17/45 (c) 1/14 (d) 17/45

Answer key

  1. −41/72
  2. −1/8
  3. −3/5
  4. 3/8
  5. −41/42
  6. Positive
  7. −1/8
  8. −3/5
  9. 17/15
  10. −1/7
  11. Negative
  12. 53/42
  13. −1/2
  14. −6/7
  15. −12/35
  16. 1/7
  17. Negative
  18. −3/8
  19. −17/21
  20. −1/9
  21. −1/7
  22. 7/9
  23. 4/3
  24. −2/7
  25. −5/8
  26. Negative
  27. 8/45
  28. −5/4
  29. −3/8
  30. 47/56
  31. −37/56
  32. −1/4
  33. −1/5
  34. −11/63
  35. Positive
  36. −1/3
  37. −1/45
  38. −1/8
  39. −1/5
  40. 17/45

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