← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 175 · 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.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −12/54
  2. 2.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  3. 3.What is the additive inverse of 4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  4. 4.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  5. 5.What is (−4/7) − 1/7? (a) −3/7 (b) 5/7 (c) −5/14 (d) −5/7
  6. 6.Which is bigger: −2/9 or −5/7? (a) −2/9 (b) −5/7
  7. 7.Which is smaller: −3/8 or 1/9? (a) 1/9 (b) −3/8
  8. 8.What is 1/4 − (−4/7)? (a) −23/28 (b) 5/11 (c) 23/28 (d) −9/28
  9. 9.Write −24/30 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −4/5 (d) −24/30
  10. 10.What is 5/9 + (−1/2)? (a) 4/11 (b) −1/18 (c) 1/18 (d) 19/18
  11. 11.What is 1/8 + (−4/9)? (a) −23/72 (b) −3/17 (c) 23/72 (d) 41/72
  12. 12.What is (−6/7) + (−5/6)? (a) −71/42 (b) −11/13 (c) −1/42 (d) 71/42
  13. 13.Which is smaller: −1/9 or −4/9? (a) −1/9 (b) −4/9
  14. 14.What is (−1/5) + 6/7? (a) −23/35 (b) 5/12 (c) 23/35 (d) −37/35
  15. 15.Is −9/6 positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  17. 17.What is 1/8 − (−3/5)? (a) −29/40 (b) 4/13 (c) −19/40 (d) 29/40
  18. 18.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −2/7 or −1/8? (a) −1/8 (b) −2/7
  20. 20.Which is bigger: −6/7 or −5/7? (a) −6/7 (b) −5/7
  21. 21.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −15/18 (d) −5/6
  22. 22.Which is bigger: −1/2 or 1/9? (a) 1/9 (b) −1/2
  23. 23.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  24. 24.Which is smaller: −3/4 or −5/6? (a) −5/6 (b) −3/4
  25. 25.Which is bigger: −4/7 or 7/9? (a) −4/7 (b) 7/9
  26. 26.What is (−2/5) − 1/8? (a) −21/40 (b) 21/40 (c) −11/40 (d) −3/13
  27. 27.Which is bigger: −6/7 or −1/4? (a) −6/7 (b) −1/4
  28. 28.Which is bigger: −1/2 or −4/5? (a) −1/2 (b) −4/5
  29. 29.What is (−3/4) − 2/9? (a) 35/36 (b) −19/36 (c) −35/36 (d) −5/13
  30. 30.What is (−5/7) + (−1/5)? (a) 32/35 (b) −1/2 (c) −18/35 (d) −32/35
  31. 31.What is (−2/9) − 1/4? (a) −3/13 (b) 1/36 (c) 17/36 (d) −17/36
  32. 32.What is (−2/5) + 3/8? (a) 1/40 (b) −1/40 (c) 1/13 (d) −31/40
  33. 33.What is (−3/8) + (−3/5)? (a) −6/13 (b) 39/40 (c) 9/40 (d) −39/40
  34. 34.What is the additive inverse of 1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  35. 35.What is (−1/8) + (−1/4)? (a) 1/8 (b) −1/6 (c) 3/8 (d) −3/8
  36. 36.Which is bigger: −1/3 or 1/8? (a) 1/8 (b) −1/3
  37. 37.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  38. 38.What is 1/4 − (−5/8)? (a) 1/2 (b) −3/8 (c) −7/8 (d) 7/8
  39. 39.What is (−1/5) + 1/8? (a) −13/40 (b) 3/40 (c) 0 (d) −3/40
  40. 40.Is −3/(−6) positive or negative? (a) Positive (b) Negative

Answer key

  1. −2/9
  2. 9
  3. −4/5
  4. −7/4
  5. −5/7
  6. −2/9
  7. −3/8
  8. 23/28
  9. −4/5
  10. 1/18
  11. −23/72
  12. −71/42
  13. −4/9
  14. 23/35
  15. Negative
  16. −5/4
  17. 29/40
  18. Positive
  19. −1/8
  20. −5/7
  21. −5/6
  22. 1/9
  23. Positive
  24. −5/6
  25. 7/9
  26. −21/40
  27. −1/4
  28. −1/2
  29. −35/36
  30. −32/35
  31. −17/36
  32. −1/40
  33. −39/40
  34. −1/6
  35. −3/8
  36. 1/8
  37. −1/2
  38. 7/8
  39. −3/40
  40. Positive

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