← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 261 · 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 (−1/8) + (−2/7)? (a) 9/56 (b) 23/56 (c) −23/56 (d) −1/5
  2. 2.What is (−1/2) − 1/5? (a) 7/10 (b) −3/10 (c) −7/10 (d) −2/7
  3. 3.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−1/9) + 3/4? (a) −31/36 (b) 23/36 (c) 2/13 (d) −23/36
  5. 5.Which is smaller: −2/5 or 4/7? (a) 4/7 (b) −2/5
  6. 6.What is 2/9 − (−4/7)? (a) 50/63 (b) 3/8 (c) −50/63 (d) −22/63
  7. 7.Which is bigger: −1/3 or −5/7? (a) −1/3 (b) −5/7
  8. 8.What is the additive inverse of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  9. 9.What is 5/7 − (−3/8)? (a) −61/56 (b) 61/56 (c) 8/15 (d) 19/56
  10. 10.What is 1/3 − (−1/4)? (a) 7/12 (b) 2/7 (c) 1/12 (d) −7/12
  11. 11.What is (−1/6) − 1/2? (a) −1/4 (b) −2/3 (c) 1/3 (d) 2/3
  12. 12.Which is smaller: −3/8 or −4/7? (a) −3/8 (b) −4/7
  13. 13.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −2/12 (d) 1/6
  14. 14.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  15. 15.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  16. 16.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  17. 17.What is 8/9 + (−6/7)? (a) 110/63 (b) −2/63 (c) 1/8 (d) 2/63
  18. 18.What is (−3/7) + (−1/6)? (a) 25/42 (b) −4/13 (c) −11/42 (d) −25/42
  19. 19.Is −8/(−2) positive or negative? (a) Positive (b) Negative
  20. 20.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  21. 21.What is 7/8 − (−2/7)? (a) 33/56 (b) −65/56 (c) 65/56 (d) 3/5
  22. 22.Which is bigger: −5/8 or 1/8? (a) −5/8 (b) 1/8
  23. 23.What is (−1/8) − 5/7? (a) 33/56 (b) −2/5 (c) −47/56 (d) 47/56
  24. 24.What is (−1/9) + 1/9? (a) 0 (b) −2/9
  25. 25.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  26. 26.What is (−3/5) − (−1/9)? (a) 22/45 (b) −32/45 (c) −1/7 (d) −22/45
  27. 27.What is 5/9 + (−1/2)? (a) 1/18 (b) −1/18 (c) 4/11 (d) 19/18
  28. 28.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  29. 29.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  30. 30.What is (−4/9) + (−3/5)? (a) −47/45 (b) −1/2 (c) 47/45 (d) 7/45
  31. 31.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −2/7 (d) −6/21
  32. 32.What is (−3/4) + 7/9? (a) 1/36 (b) −55/36 (c) −1/36 (d) 4/13
  33. 33.What is 5/7 + (−2/5)? (a) −11/35 (b) 39/35 (c) 11/35 (d) 1/4
  34. 34.Is 7/3 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/6) + (−8/9)? (a) −19/18 (b) 19/18 (c) 13/18 (d) −3/5
  36. 36.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −10/16 (d) −5/8
  37. 37.What is (−1/5) + 1/6? (a) −11/30 (b) −1/30 (c) 1/30 (d) 0
  38. 38.Which is smaller: −1/2 or 1/8? (a) 1/8 (b) −1/2
  39. 39.Is 8/5 positive or negative? (a) Positive (b) Negative
  40. 40.What is (−4/7) + (−3/4)? (a) −37/28 (b) 5/28 (c) −7/11 (d) 37/28

Answer key

  1. −23/56
  2. −7/10
  3. Negative
  4. 23/36
  5. −2/5
  6. 50/63
  7. −1/3
  8. −1/6
  9. 61/56
  10. 7/12
  11. −2/3
  12. −4/7
  13. −1/6
  14. Negative
  15. −8/7
  16. 4
  17. 2/63
  18. −25/42
  19. Positive
  20. Positive
  21. 65/56
  22. 1/8
  23. −47/56
  24. 0
  25. 4/5
  26. −22/45
  27. 1/18
  28. −7/4
  29. −1/9
  30. −47/45
  31. −2/7
  32. 1/36
  33. 11/35
  34. Positive
  35. −19/18
  36. −5/8
  37. −1/30
  38. −1/2
  39. Positive
  40. −37/28

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