← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 67 · 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.Which is smaller: −7/9 or −5/9? (a) −7/9 (b) −5/9
  2. 2.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  3. 3.Which is bigger: −6/7 or 1/8? (a) 1/8 (b) −6/7
  4. 4.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  6. 6.What is 1/7 + (−2/5)? (a) −1/12 (b) 9/35 (c) −9/35 (d) 19/35
  7. 7.Which is bigger: −2/5 or 2/3? (a) −2/5 (b) 2/3
  8. 8.What is 1/3 − (−1/6)? (a) 2/9 (b) 1/2 (c) −1/2 (d) 1/6
  9. 9.What is (−6/7) − 1/4? (a) 31/28 (b) −7/11 (c) −31/28 (d) −17/28
  10. 10.What is 2/9 + (−5/9)? (a) −1/3 (b) 1/3 (c) 7/9 (d) −1/6
  11. 11.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) 4/7 (c) −4/7 (d) −7/4
  12. 12.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) 1/5 (c) −1/5 (d) −5
  13. 13.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −5/15 (c) −1/3 (d) −3/1
  14. 14.Is −8/3 positive or negative? (a) Positive (b) Negative
  15. 15.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  16. 16.What is (−2/5) + (−3/5)? (a) 1 (b) 1/5 (c) −1 (d) −1/2
  17. 17.What is (−1/3) + (−2/9)? (a) 5/9 (b) −1/9 (c) −1/4 (d) −5/9
  18. 18.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −9/15 (c) −5/3 (d) −3/5
  19. 19.Which is smaller: −1/2 or 7/8? (a) −1/2 (b) 7/8
  20. 20.Is −4/5 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  22. 22.What is the additive inverse of −1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  23. 23.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−4/7) − 2/5? (a) −1/2 (b) −6/35 (c) −34/35 (d) 34/35
  25. 25.What is (−1/3) + 1/5? (a) 0 (b) 2/15 (c) −2/15 (d) −8/15
  26. 26.Which is smaller: −5/8 or −7/9? (a) −7/9 (b) −5/8
  27. 27.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  30. 30.What is (−1/3) − (−2/5)? (a) −1/15 (b) −11/15 (c) 1/15 (d) 1/8
  31. 31.Which is smaller: −3/4 or 5/8? (a) 5/8 (b) −3/4
  32. 32.Which is bigger: −2/3 or −3/4? (a) −3/4 (b) −2/3
  33. 33.Which is bigger: −2/7 or 5/8? (a) 5/8 (b) −2/7
  34. 34.What is (−3/8) − (−1/7)? (a) 13/56 (b) −29/56 (c) −13/56 (d) −2/15
  35. 35.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  36. 36.What is 1/3 − (−3/7)? (a) −2/21 (b) 2/5 (c) −16/21 (d) 16/21
  37. 37.Which is bigger: −1/2 or −5/9? (a) −5/9 (b) −1/2
  38. 38.What is 4/9 + (−5/9)? (a) −1/9 (b) −1/18 (c) 1 (d) 1/9
  39. 39.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −2/10 (d) 1/5
  40. 40.What is (−3/5) + (−3/8)? (a) −9/40 (b) −39/40 (c) 39/40 (d) −6/13

Answer key

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

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