← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 8 · 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 (−1/7) − (−2/3)? (a) 11/21 (b) −17/21 (c) 1/10 (d) −11/21
  2. 2.What is the additive inverse of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  3. 3.What is 2/7 + (−1/2)? (a) −3/14 (b) 3/14 (c) 11/14 (d) 1/9
  4. 4.What is (−4/9) + 1/7? (a) −37/63 (b) −3/16 (c) −19/63 (d) 19/63
  5. 5.What is (−3/4) − (−4/7)? (a) 1/11 (b) −5/28 (c) −37/28 (d) 5/28
  6. 6.What is 2/3 + (−7/9)? (a) −1/9 (b) −5/12 (c) 1/9 (d) 13/9
  7. 7.What is (−7/8) + (−4/5)? (a) −11/13 (b) −3/40 (c) 67/40 (d) −67/40
  8. 8.What is 5/7 + (−4/7)? (a) 1/14 (b) 1/7 (c) 9/7 (d) −1/7
  9. 9.What is (−1/3) + (−1/8)? (a) −11/24 (b) −5/24 (c) −2/11 (d) 11/24
  10. 10.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −4/5 or −7/8? (a) −7/8 (b) −4/5
  12. 12.Is 3/8 positive or negative? (a) Positive (b) Negative
  13. 13.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −12/27 (c) −9/4 (d) −4/9
  14. 14.What is (−1/2) + (−1/9)? (a) −2/11 (b) 11/18 (c) −7/18 (d) −11/18
  15. 15.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −7/5 (d) −5/7
  16. 16.Which is bigger: −1/5 or 8/9? (a) 8/9 (b) −1/5
  17. 17.What is the additive inverse of 3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  18. 18.What is (−1/7) + (−1/5)? (a) 12/35 (b) −1/6 (c) 2/35 (d) −12/35
  19. 19.Write −14/16 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −14/16 (c) −8/7 (d) −7/8
  20. 20.What is (−2/5) + 1/7? (a) −19/35 (b) 9/35 (c) −1/12 (d) −9/35
  21. 21.What is (−4/5) − (−1/5)? (a) −3/5 (b) −1 (c) 3/5 (d) −3/10
  22. 22.Which is bigger: −1/2 or 8/9? (a) −1/2 (b) 8/9
  23. 23.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  24. 24.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −3/6 (c) −1/2 (d) 1/2
  25. 25.What is (−5/9) + 3/4? (a) −7/36 (b) −2/13 (c) 7/36 (d) −47/36
  26. 26.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  27. 27.Is 2/5 positive or negative? (a) Negative (b) Positive
  28. 28.What is 2/5 − (−8/9)? (a) 58/45 (b) −22/45 (c) −58/45 (d) 5/7
  29. 29.What is (−3/7) + 1/5? (a) 8/35 (b) −1/6 (c) −8/35 (d) −22/35
  30. 30.What is (−1/2) − (−1/4)? (a) −3/4 (b) 1/4 (c) −1/4 (d) 0
  31. 31.Which is smaller: −1/6 or 3/4? (a) −1/6 (b) 3/4
  32. 32.Which is smaller: −3/8 or −5/8? (a) −3/8 (b) −5/8
  33. 33.What is (−1/5) − 3/5? (a) 4/5 (b) −2/5 (c) 2/5 (d) −4/5
  34. 34.Which is bigger: −5/8 or −2/5? (a) −5/8 (b) −2/5
  35. 35.Write −15/35 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −15/35
  36. 36.What is (−3/5) + (−1/7)? (a) −26/35 (b) −16/35 (c) 26/35 (d) −1/3
  37. 37.What is (−8/9) + (−6/7)? (a) −7/8 (b) 110/63 (c) −2/63 (d) −110/63
  38. 38.Is 7/4 positive or negative? (a) Positive (b) Negative
  39. 39.What is 3/4 − (−1/8)? (a) 1/3 (b) 5/8 (c) −7/8 (d) 7/8
  40. 40.What is 1/5 + (−1/2)? (a) 0 (b) 7/10 (c) 3/10 (d) −3/10

Answer key

  1. 11/21
  2. −3/5
  3. −3/14
  4. −19/63
  5. −5/28
  6. −1/9
  7. −67/40
  8. 1/7
  9. −11/24
  10. Negative
  11. −7/8
  12. Positive
  13. −4/9
  14. −11/18
  15. −5/7
  16. 8/9
  17. −3/4
  18. −12/35
  19. −7/8
  20. −9/35
  21. −3/5
  22. 8/9
  23. Negative
  24. −1/2
  25. 7/36
  26. −4/3
  27. Positive
  28. 58/45
  29. −8/35
  30. −1/4
  31. −1/6
  32. −5/8
  33. −4/5
  34. −2/5
  35. −3/7
  36. −26/35
  37. −110/63
  38. Positive
  39. 7/8
  40. −3/10

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