← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 108 · 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.Is −4/8 positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  3. 3.What is (−1/6) + 8/9? (a) −13/18 (b) 7/15 (c) −19/18 (d) 13/18
  4. 4.What is (−5/6) − (−3/8)? (a) −1/7 (b) −29/24 (c) −11/24 (d) 11/24
  5. 5.What is (−1/9) − (−8/9)? (a) −1 (b) 7/18 (c) 7/9 (d) −7/9
  6. 6.Which is bigger: −2/3 or 7/8? (a) −2/3 (b) 7/8
  7. 7.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −3/15
  8. 8.What is the additive inverse of −1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  9. 9.Which is bigger: −1/4 or 3/4? (a) −1/4 (b) 3/4
  10. 10.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  11. 11.What is (−5/9) + 2/5? (a) −43/45 (b) −7/45 (c) 7/45 (d) −3/14
  12. 12.What is (−8/9) − 7/8? (a) 127/72 (b) −1/72 (c) −15/17 (d) −127/72
  13. 13.What is the additive inverse of −8/9? (a) 9/8 (b) −8/9 (c) −9/8 (d) 8/9
  14. 14.Is 4/4 positive or negative? (a) Negative (b) Positive
  15. 15.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  16. 16.Is 5/3 positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −5/7 or −1/8? (a) −5/7 (b) −1/8
  18. 18.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  19. 19.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −2/10 (d) 1/5
  20. 20.What is (−7/9) − 4/5? (a) 71/45 (b) 1/45 (c) −11/14 (d) −71/45
  21. 21.Which is smaller: −3/4 or −3/5? (a) −3/5 (b) −3/4
  22. 22.What is the additive inverse of −5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  23. 23.What is (−8/9) + 2/3? (a) −1/2 (b) −14/9 (c) 2/9 (d) −2/9
  24. 24.Is 9/6 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −4/7 or 1/5? (a) −4/7 (b) 1/5
  26. 26.What is (−2/5) + 1/8? (a) −1/13 (b) 11/40 (c) −11/40 (d) −21/40
  27. 27.What is (−2/7) + (−1/2)? (a) −11/14 (b) 11/14 (c) −1/3 (d) 3/14
  28. 28.What is (−1/6) − (−2/9)? (a) 1/15 (b) −1/18 (c) −7/18 (d) 1/18
  29. 29.What is (−5/8) + (−4/9)? (a) −13/72 (b) 77/72 (c) −9/17 (d) −77/72
  30. 30.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  31. 31.What is (−2/9) + (−6/7)? (a) 68/63 (b) 40/63 (c) −1/2 (d) −68/63
  32. 32.What is the additive inverse of −5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  33. 33.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −9/12 (d) −3/4
  35. 35.What is (−3/5) − 3/4? (a) −27/20 (b) 27/20 (c) 3/20 (d) −2/3
  36. 36.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  37. 37.What is (−4/7) + (−2/3)? (a) 2/21 (b) −3/5 (c) −26/21 (d) 26/21
  38. 38.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  39. 39.What is (−2/3) + 1/5? (a) −13/15 (b) −7/15 (c) −1/8 (d) 7/15
  40. 40.Is 6/3 positive or negative? (a) Positive (b) Negative

Answer key

  1. Negative
  2. 7/2
  3. 13/18
  4. −11/24
  5. 7/9
  6. 7/8
  7. −1/5
  8. 1/9
  9. 3/4
  10. Negative
  11. −7/45
  12. −127/72
  13. 8/9
  14. Positive
  15. Negative
  16. Positive
  17. −1/8
  18. 5/3
  19. −1/5
  20. −71/45
  21. −3/4
  22. 5/6
  23. −2/9
  24. Positive
  25. 1/5
  26. −11/40
  27. −11/14
  28. 1/18
  29. −77/72
  30. 4
  31. −68/63
  32. 5/9
  33. Negative
  34. −3/4
  35. −27/20
  36. 2
  37. −26/21
  38. −4
  39. −7/15
  40. Positive

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