← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 493 · 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 the additive inverse of −1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  2. 2.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −10/25
  3. 3.What is (−2/7) − (−1/3)? (a) −13/21 (b) −1/10 (c) 1/21 (d) −1/21
  4. 4.Which is bigger: −5/9 or −1/5? (a) −1/5 (b) −5/9
  5. 5.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) 4/5 (c) −5/4 (d) −4/5
  6. 6.Which is bigger: −4/9 or 3/7? (a) −4/9 (b) 3/7
  7. 7.What is (−5/8) + (−5/9)? (a) −10/17 (b) −5/72 (c) −85/72 (d) 85/72
  8. 8.What is (−3/5) − 3/8? (a) −6/13 (b) −9/40 (c) 39/40 (d) −39/40
  9. 9.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −18/30 (b) 3/5 (c) −5/3 (d) −3/5
  10. 10.Which is smaller: −1/9 or 4/9? (a) 4/9 (b) −1/9
  11. 11.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  12. 12.What is the additive inverse of −1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  13. 13.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  14. 14.What is (−2/3) − 5/8? (a) −31/24 (b) −7/11 (c) −1/24 (d) 31/24
  15. 15.Is −4/9 positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  17. 17.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −36/42
  18. 18.Which is smaller: −1/5 or 4/5? (a) −1/5 (b) 4/5
  19. 19.Which is smaller: −1/4 or 4/5? (a) −1/4 (b) 4/5
  20. 20.Is −4/4 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−3/5) + (−2/9)? (a) −37/45 (b) 37/45 (c) −5/14 (d) −17/45
  22. 22.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  23. 23.Which is bigger: −2/7 or −1/4? (a) −2/7 (b) −1/4
  24. 24.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  25. 25.What is 3/5 − (−1/6)? (a) 4/11 (b) −23/30 (c) 13/30 (d) 23/30
  26. 26.Which is smaller: −1/7 or 2/3? (a) 2/3 (b) −1/7
  27. 27.Which is smaller: −1/3 or 1/5? (a) 1/5 (b) −1/3
  28. 28.What is the additive inverse of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  29. 29.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −20/45
  30. 30.Which is smaller: −1/5 or 1/7? (a) −1/5 (b) 1/7
  31. 31.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  32. 32.What is 3/5 − (−1/7)? (a) 26/35 (b) 1/3 (c) −26/35 (d) 16/35
  33. 33.Which is smaller: −3/5 or 2/9? (a) 2/9 (b) −3/5
  34. 34.What is 3/7 + (−8/9)? (a) −5/16 (b) 83/63 (c) −29/63 (d) 29/63
  35. 35.Which is bigger: −1/7 or −3/8? (a) −1/7 (b) −3/8
  36. 36.Which is bigger: −3/8 or 6/7? (a) 6/7 (b) −3/8
  37. 37.Which is smaller: −8/9 or −2/9? (a) −8/9 (b) −2/9
  38. 38.Which is bigger: −1/3 or −3/4? (a) −3/4 (b) −1/3
  39. 39.Is −9/8 positive or negative? (a) Positive (b) Negative
  40. 40.What is (−1/6) − 1/9? (a) −5/18 (b) −2/15 (c) −1/18 (d) 5/18

Answer key

  1. 1/4
  2. −2/5
  3. 1/21
  4. −1/5
  5. −4/5
  6. 3/7
  7. −85/72
  8. −39/40
  9. −3/5
  10. −1/9
  11. Positive
  12. 1/5
  13. −7/4
  14. −31/24
  15. Negative
  16. −7/3
  17. −6/7
  18. −1/5
  19. −1/4
  20. Negative
  21. −37/45
  22. −5/7
  23. −1/4
  24. −5/2
  25. 23/30
  26. −1/7
  27. −1/3
  28. 4/5
  29. −4/9
  30. −1/5
  31. −2/7
  32. 26/35
  33. −3/5
  34. −29/63
  35. −1/7
  36. 6/7
  37. −8/9
  38. −1/3
  39. Negative
  40. −5/18

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