← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 673 · 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 reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  2. 2.What is (−5/9) + 5/6? (a) −5/18 (b) 5/18 (c) −25/18 (d) 0
  3. 3.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −5/1 (d) −1/5
  4. 4.What is (−4/9) + 2/5? (a) 2/45 (b) −2/45 (c) −1/7 (d) −38/45
  5. 5.Is −3/2 positive or negative? (a) Negative (b) Positive
  6. 6.What is 2/7 − (−5/9)? (a) −17/63 (b) 53/63 (c) −53/63 (d) 7/16
  7. 7.What is (−2/3) + (−3/8)? (a) 25/24 (b) −5/11 (c) −7/24 (d) −25/24
  8. 8.What is (−2/5) + 8/9? (a) 3/7 (b) −58/45 (c) 22/45 (d) −22/45
  9. 9.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  10. 10.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −1/7 or −5/9? (a) −5/9 (b) −1/7
  12. 12.What is 5/7 − (−1/3)? (a) 3/5 (b) −22/21 (c) 8/21 (d) 22/21
  13. 13.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  15. 15.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  16. 16.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−2/7) − 2/5? (a) −24/35 (b) −1/3 (c) 4/35 (d) 24/35
  18. 18.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  19. 19.What is (−1/4) + 1/2? (a) −1/4 (b) −3/4 (c) 0 (d) 1/4
  20. 20.Is −6/5 positive or negative? (a) Positive (b) Negative
  21. 21.Is 8/7 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −2/9 or 6/7? (a) 6/7 (b) −2/9
  23. 23.What is 2/7 + (−5/8)? (a) −19/56 (b) 51/56 (c) 19/56 (d) −1/5
  24. 24.Is 1/2 positive or negative? (a) Negative (b) Positive
  25. 25.Which is bigger: −1/8 or −2/7? (a) −1/8 (b) −2/7
  26. 26.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −2/18 (c) 1/9 (d) −9/1
  27. 27.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) −9/1 (c) 1/9 (d) −1/9
  28. 28.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  29. 29.What is (−5/9) + 7/8? (a) −103/72 (b) 2/17 (c) −23/72 (d) 23/72
  30. 30.What is (−1/6) − 1/2? (a) 1/3 (b) −1/4 (c) −2/3 (d) 2/3
  31. 31.Which is bigger: −3/7 or −2/3? (a) −2/3 (b) −3/7
  32. 32.What is (−2/7) − 2/3? (a) −2/5 (b) 20/21 (c) −20/21 (d) 8/21
  33. 33.Which is smaller: −3/5 or 2/3? (a) −3/5 (b) 2/3
  34. 34.Write −40/45 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −40/45 (c) −8/9 (d) −9/8
  35. 35.What is (−7/9) + 1/3? (a) −1/2 (b) −4/9 (c) 4/9 (d) −10/9
  36. 36.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −8/9 (c) −9/8 (d) 8/9
  37. 37.What is (−2/7) − (−1/7)? (a) −3/7 (b) 1/7 (c) −1/14 (d) −1/7
  38. 38.What is the additive inverse of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  39. 39.Which is bigger: −5/9 or −3/8? (a) −3/8 (b) −5/9
  40. 40.Is 2/3 positive or negative? (a) Negative (b) Positive

Answer key

  1. 5/3
  2. 5/18
  3. −1/5
  4. −2/45
  5. Negative
  6. 53/63
  7. −25/24
  8. 22/45
  9. −2/9
  10. Negative
  11. −5/9
  12. 22/21
  13. Negative
  14. −7/2
  15. Negative
  16. Positive
  17. −24/35
  18. −4/3
  19. 1/4
  20. Negative
  21. Positive
  22. −2/9
  23. −19/56
  24. Positive
  25. −1/8
  26. −1/9
  27. −1/9
  28. 7/3
  29. 23/72
  30. −2/3
  31. −3/7
  32. −20/21
  33. −3/5
  34. −8/9
  35. −4/9
  36. −8/9
  37. −1/7
  38. −8/9
  39. −3/8
  40. Positive

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