← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 687 · 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 + (−4/7)? (a) −2/21 (b) 26/21 (c) 2/21 (d) −1/5
  2. 2.What is (−3/8) + 1/3? (a) 1/24 (b) −2/11 (c) −17/24 (d) −1/24
  3. 3.What is (−2/9) − 2/9? (a) 0 (b) 4/9 (c) −2/9 (d) −4/9
  4. 4.What is 7/8 − (−2/7)? (a) −65/56 (b) 65/56 (c) 3/5 (d) 33/56
  5. 5.Is 7/4 positive or negative? (a) Negative (b) Positive
  6. 6.Is −4/6 positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −2/9 or 3/7? (a) −2/9 (b) 3/7
  8. 8.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −4/32 (d) −1/8
  9. 9.What is (−1/6) − 8/9? (a) −19/18 (b) 13/18 (c) 19/18 (d) −3/5
  10. 10.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) 6/7 (d) −24/28
  11. 11.What is 1/9 − (−1/6)? (a) 2/15 (b) −1/18 (c) 5/18 (d) −5/18
  12. 12.Write −30/48 in standard form (lowest terms, positive denominator). (a) −30/48 (b) −5/8 (c) 5/8 (d) −8/5
  13. 13.What is (−5/9) − 3/4? (a) 47/36 (b) −47/36 (c) −8/13 (d) 7/36
  14. 14.What is (−2/3) + (−6/7)? (a) 32/21 (b) −32/21 (c) −4/5 (d) 4/21
  15. 15.What is (−6/7) + (−4/5)? (a) −5/6 (b) −58/35 (c) −2/35 (d) 58/35
  16. 16.What is the additive inverse of −7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  17. 17.Which is bigger: −5/9 or −1/2? (a) −5/9 (b) −1/2
  18. 18.What is 4/9 + (−1/6)? (a) 1/5 (b) 11/18 (c) 5/18 (d) −5/18
  19. 19.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  20. 20.Which is smaller: −1/5 or −7/8? (a) −1/5 (b) −7/8
  21. 21.Which is bigger: −7/8 or 1/4? (a) 1/4 (b) −7/8
  22. 22.What is (−2/9) + (−1/3)? (a) 1/9 (b) −5/9 (c) −1/4 (d) 5/9
  23. 23.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  24. 24.What is 5/8 + (−5/8)? (a) 0 (b) 5/4
  25. 25.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  26. 26.What is (−7/9) + 5/6? (a) 1/18 (b) −1/18 (c) −2/15 (d) −29/18
  27. 27.Is −6/3 positive or negative? (a) Negative (b) Positive
  28. 28.Which is bigger: −2/3 or 1/3? (a) 1/3 (b) −2/3
  29. 29.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −30/54 (d) −5/9
  30. 30.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −5/40
  31. 31.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −4/8 (b) −1/2 (c) −2/1 (d) 1/2
  32. 32.What is (−1/5) − 7/9? (a) −4/7 (b) 26/45 (c) 44/45 (d) −44/45
  33. 33.What is (−3/8) − (−4/9)? (a) 5/72 (b) 1/17 (c) −5/72 (d) −59/72
  34. 34.Which is smaller: −2/9 or 4/7? (a) 4/7 (b) −2/9
  35. 35.Is 8/7 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −1/9 or 8/9? (a) −1/9 (b) 8/9
  37. 37.What is (−1/7) − 4/9? (a) 37/63 (b) 19/63 (c) −5/16 (d) −37/63
  38. 38.Write −8/20 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −8/20
  39. 39.What is the additive inverse of −2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  40. 40.Is −2/(−6) positive or negative? (a) Negative (b) Positive

Answer key

  1. 2/21
  2. −1/24
  3. −4/9
  4. 65/56
  5. Positive
  6. Negative
  7. 3/7
  8. −1/8
  9. −19/18
  10. −6/7
  11. 5/18
  12. −5/8
  13. −47/36
  14. −32/21
  15. −58/35
  16. 7/9
  17. −1/2
  18. 5/18
  19. −3
  20. −7/8
  21. 1/4
  22. −5/9
  23. 9/7
  24. 0
  25. −7/8
  26. 1/18
  27. Negative
  28. 1/3
  29. −5/9
  30. −1/8
  31. −1/2
  32. −44/45
  33. 5/72
  34. −2/9
  35. Positive
  36. 8/9
  37. −37/63
  38. −2/5
  39. 2/7
  40. Positive

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets