← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 89 · 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: −3/5 or −1/4? (a) −1/4 (b) −3/5
  2. 2.Which is bigger: −6/7 or −2/3? (a) −2/3 (b) −6/7
  3. 3.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  4. 4.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.What is 3/8 − (−6/7)? (a) 69/56 (b) −69/56 (c) 3/5 (d) −27/56
  6. 6.What is (−5/7) − 5/8? (a) −5/56 (b) 75/56 (c) −2/3 (d) −75/56
  7. 7.Is 6/6 positive or negative? (a) Positive (b) Negative
  8. 8.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −3/9 (d) −3/1
  9. 9.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −2/18 (d) −1/9
  10. 10.What is the additive inverse of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  11. 11.What is 3/4 + (−1/5)? (a) 11/20 (b) 2/9 (c) −11/20 (d) 19/20
  12. 12.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  13. 13.Is −6/8 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−5/9) − (−3/5)? (a) −1/7 (b) 2/45 (c) −52/45 (d) −2/45
  15. 15.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  16. 16.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−8/9) − 1/2? (a) −7/18 (b) −9/11 (c) 25/18 (d) −25/18
  18. 18.Is 1/2 positive or negative? (a) Positive (b) Negative
  19. 19.Write −14/16 in standard form (lowest terms, positive denominator). (a) −14/16 (b) −8/7 (c) −7/8 (d) 7/8
  20. 20.What is (−5/9) + (−2/9)? (a) −1/3 (b) −7/9 (c) 7/9 (d) −7/18
  21. 21.What is 4/9 + (−7/9)? (a) 11/9 (b) 1/3 (c) −1/6 (d) −1/3
  22. 22.Which is smaller: −1/6 or −1/9? (a) −1/9 (b) −1/6
  23. 23.Which is bigger: −8/9 or −5/7? (a) −8/9 (b) −5/7
  24. 24.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  25. 25.What is (−6/7) + 3/4? (a) −3/11 (b) −45/28 (c) −3/28 (d) 3/28
  26. 26.What is 8/9 − (−5/9)? (a) 13/18 (b) 13/9 (c) 1/3 (d) −13/9
  27. 27.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  28. 28.What is (−1/7) + 3/4? (a) −25/28 (b) 2/11 (c) 17/28 (d) −17/28
  29. 29.What is (−1/2) + 1/3? (a) −1/6 (b) −5/6 (c) 1/6 (d) 0
  30. 30.What is (−5/9) − (−1/6)? (a) −13/18 (b) 7/18 (c) −7/18 (d) −4/15
  31. 31.What is (−2/5) − (−8/9)? (a) 22/45 (b) −58/45 (c) 3/7 (d) −22/45
  32. 32.Which is bigger: −2/5 or 1/7? (a) −2/5 (b) 1/7
  33. 33.What is the additive inverse of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  34. 34.Write −28/32 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −28/32
  35. 35.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) 1/6 (d) −5/30
  36. 36.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−2/7) + (−8/9)? (a) −74/63 (b) 74/63 (c) −5/8 (d) 38/63
  38. 38.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  39. 39.Is 1/5 positive or negative? (a) Positive (b) Negative
  40. 40.Is −6/(−5) positive or negative? (a) Negative (b) Positive

Answer key

  1. −3/5
  2. −2/3
  3. Positive
  4. Negative
  5. 69/56
  6. −75/56
  7. Positive
  8. −1/3
  9. −1/9
  10. −2/5
  11. 11/20
  12. 5/4
  13. Negative
  14. 2/45
  15. −7/6
  16. Negative
  17. −25/18
  18. Positive
  19. −7/8
  20. −7/9
  21. −1/3
  22. −1/6
  23. −5/7
  24. 9/4
  25. −3/28
  26. 13/9
  27. 5/2
  28. 17/28
  29. −1/6
  30. −7/18
  31. 22/45
  32. 1/7
  33. 1/8
  34. −7/8
  35. −1/6
  36. Negative
  37. −74/63
  38. 8/5
  39. Positive
  40. Positive

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