← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 802 · 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.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  2. 2.Is 2/3 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−3/7) + 7/9? (a) −76/63 (b) 1/4 (c) 22/63 (d) −22/63
  4. 4.What is 1/5 + (−1/7)? (a) 12/35 (b) 0 (c) −2/35 (d) 2/35
  5. 5.Which is smaller: −3/8 or 5/8? (a) −3/8 (b) 5/8
  6. 6.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −2/18 (c) −9/1 (d) −1/9
  7. 7.Which is bigger: −1/7 or 4/9? (a) −1/7 (b) 4/9
  8. 8.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) −9/7 (c) 7/9 (d) −7/9
  9. 9.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  10. 10.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  11. 11.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) 2/5 (d) −2/5
  12. 12.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −1/4 or −7/9? (a) −7/9 (b) −1/4
  14. 14.What is 2/3 − (−4/5)? (a) 3/4 (b) 22/15 (c) −2/15 (d) −22/15
  15. 15.Which is smaller: −4/9 or 3/8? (a) 3/8 (b) −4/9
  16. 16.What is (−2/3) − 1/9? (a) −5/9 (b) 7/9 (c) −1/4 (d) −7/9
  17. 17.Which is bigger: −4/7 or −2/7? (a) −2/7 (b) −4/7
  18. 18.What is (−3/8) − 3/4? (a) 3/8 (b) −9/8 (c) 9/8 (d) −1/2
  19. 19.Is −3/8 positive or negative? (a) Positive (b) Negative
  20. 20.Is −1/6 positive or negative? (a) Negative (b) Positive
  21. 21.What is the additive inverse of −1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  22. 22.Is −6/6 positive or negative? (a) Negative (b) Positive
  23. 23.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  24. 24.Is 3/5 positive or negative? (a) Positive (b) Negative
  25. 25.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  26. 26.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −12/14 (b) 6/7 (c) −6/7 (d) −7/6
  27. 27.What is (−1/5) − (−2/7)? (a) −17/35 (b) −3/35 (c) 1/12 (d) 3/35
  28. 28.Is −8/3 positive or negative? (a) Negative (b) Positive
  29. 29.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  30. 30.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −2/8
  31. 31.What is (−1/5) + (−3/5)? (a) −2/5 (b) −4/5 (c) 2/5 (d) 4/5
  32. 32.What is (−3/5) + 2/5? (a) 1/5 (b) −1/5 (c) −1/10 (d) −1
  33. 33.What is 1/7 − (−1/4)? (a) 11/28 (b) −11/28 (c) −3/28 (d) 2/11
  34. 34.What is 5/6 − (−6/7)? (a) −71/42 (b) 71/42 (c) 11/13 (d) −1/42
  35. 35.What is (−4/5) − 2/3? (a) −2/15 (b) 22/15 (c) −3/4 (d) −22/15
  36. 36.What is (−3/5) + 5/9? (a) −2/45 (b) −52/45 (c) 2/45 (d) 1/7
  37. 37.What is the additive inverse of −5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  38. 38.Which is smaller: −1/4 or 1/3? (a) −1/4 (b) 1/3
  39. 39.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  40. 40.Which is smaller: −1/9 or −3/5? (a) −3/5 (b) −1/9

Answer key

  1. −4/5
  2. Positive
  3. 22/63
  4. 2/35
  5. −3/8
  6. −1/9
  7. 4/9
  8. −7/9
  9. Positive
  10. Positive
  11. −2/5
  12. Negative
  13. −7/9
  14. 22/15
  15. −4/9
  16. −7/9
  17. −2/7
  18. −9/8
  19. Negative
  20. Negative
  21. 1/3
  22. Negative
  23. Negative
  24. Positive
  25. Positive
  26. −6/7
  27. 3/35
  28. Negative
  29. Positive
  30. −1/4
  31. −4/5
  32. −1/5
  33. 11/28
  34. 71/42
  35. −22/15
  36. −2/45
  37. 5/6
  38. −1/4
  39. −9/4
  40. −3/5

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