← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 472 · 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 1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  2. 2.Is 5/5 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−3/5) + (−1/9)? (a) −32/45 (b) −2/7 (c) −22/45 (d) 32/45
  4. 4.What is (−1/7) + (−4/9)? (a) −5/16 (b) −37/63 (c) 37/63 (d) 19/63
  5. 5.What is 2/3 + (−5/9)? (a) −1/9 (b) −1/4 (c) 1/9 (d) 11/9
  6. 6.What is the additive inverse of −5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  7. 7.Which is bigger: −1/6 or −1/2? (a) −1/2 (b) −1/6
  8. 8.What is 8/9 + (−5/8)? (a) 3/17 (b) 19/72 (c) 109/72 (d) −19/72
  9. 9.Write −4/6 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −4/6
  10. 10.What is (−1/8) + (−1/5)? (a) −2/13 (b) 13/40 (c) −13/40 (d) 3/40
  11. 11.Is 4/2 positive or negative? (a) Positive (b) Negative
  12. 12.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −5/7 or 8/9? (a) −5/7 (b) 8/9
  14. 14.What is (−2/5) + (−5/6)? (a) −37/30 (b) −7/11 (c) 13/30 (d) 37/30
  15. 15.What is 5/6 − (−3/8)? (a) −29/24 (b) 29/24 (c) 11/24 (d) 4/7
  16. 16.What is (−1/5) + 2/9? (a) −19/45 (b) −1/45 (c) 1/14 (d) 1/45
  17. 17.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  18. 18.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/4 (c) 1/2 (d) −2/1
  19. 19.What is (−5/6) − 7/8? (a) −6/7 (b) 1/24 (c) 41/24 (d) −41/24
  20. 20.What is 3/5 − (−2/9)? (a) −37/45 (b) 37/45 (c) 17/45 (d) 5/14
  21. 21.Write −6/42 in standard form (lowest terms, positive denominator). (a) −6/42 (b) −1/7 (c) 1/7 (d) −7/1
  22. 22.What is 1/3 − (−2/5)? (a) 11/15 (b) −1/15 (c) 3/8 (d) −11/15
  23. 23.What is (−4/7) − 2/9? (a) −3/8 (b) −22/63 (c) 50/63 (d) −50/63
  24. 24.What is 1/2 + (−1/6)? (a) 0 (b) −1/3 (c) 2/3 (d) 1/3
  25. 25.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  26. 26.What is (−1/3) − (−1/6)? (a) 0 (b) 1/6 (c) −1/2 (d) −1/6
  27. 27.What is (−4/9) + (−3/8)? (a) −59/72 (b) 59/72 (c) −7/17 (d) −5/72
  28. 28.What is 2/5 − (−5/6)? (a) −13/30 (b) 7/11 (c) −37/30 (d) 37/30
  29. 29.What is (−3/7) + 1/3? (a) −1/5 (b) −2/21 (c) −16/21 (d) 2/21
  30. 30.What is (−2/5) + 7/8? (a) −51/40 (b) 5/13 (c) 19/40 (d) −19/40
  31. 31.What is (−5/9) + 1/9? (a) −4/9 (b) −2/9 (c) −2/3 (d) 4/9
  32. 32.What is 1/9 + (−7/8)? (a) −55/72 (b) −6/17 (c) 55/72 (d) 71/72
  33. 33.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  34. 34.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  35. 35.What is (−5/8) + (−2/7)? (a) 51/56 (b) −7/15 (c) −51/56 (d) −19/56
  36. 36.Which is bigger: −2/5 or −8/9? (a) −8/9 (b) −2/5
  37. 37.Which is smaller: −1/3 or −1/6? (a) −1/3 (b) −1/6
  38. 38.What is (−5/8) + 1/5? (a) −4/13 (b) −33/40 (c) −17/40 (d) 17/40
  39. 39.What is (−1/9) − (−1/6)? (a) 1/18 (b) −5/18 (c) 0 (d) −1/18
  40. 40.What is (−5/9) − 3/5? (a) −52/45 (b) 52/45 (c) 2/45 (d) −4/7

Answer key

  1. −1/5
  2. Positive
  3. −32/45
  4. −37/63
  5. 1/9
  6. 5/8
  7. −1/6
  8. 19/72
  9. −2/3
  10. −13/40
  11. Positive
  12. Positive
  13. −5/7
  14. −37/30
  15. 29/24
  16. 1/45
  17. Negative
  18. −1/2
  19. −41/24
  20. 37/45
  21. −1/7
  22. 11/15
  23. −50/63
  24. 1/3
  25. −9/4
  26. −1/6
  27. −59/72
  28. 37/30
  29. −2/21
  30. 19/40
  31. −4/9
  32. −55/72
  33. −5/8
  34. 9/8
  35. −51/56
  36. −2/5
  37. −1/3
  38. −17/40
  39. 1/18
  40. −52/45

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