← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 344 · 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 (−1/5) − (−1/4)? (a) 0 (b) −9/20 (c) 1/20 (d) −1/20
  2. 2.What is (−8/9) + (−1/7)? (a) 65/63 (b) −9/16 (c) −65/63 (d) −47/63
  3. 3.What is 1/2 + (−1/4)? (a) 3/4 (b) 0 (c) −1/4 (d) 1/4
  4. 4.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −4/24 (c) −6/1 (d) 1/6
  5. 5.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  7. 7.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) 2/9 (d) −2/9
  8. 8.What is (−7/8) + 3/8? (a) −1/4 (b) −1/2 (c) 1/2 (d) −5/4
  9. 9.What is (−3/5) + (−1/6)? (a) −23/30 (b) 23/30 (c) −4/11 (d) −13/30
  10. 10.Write −4/20 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −4/20
  11. 11.What is (−2/7) − 7/9? (a) −9/16 (b) 31/63 (c) 67/63 (d) −67/63
  12. 12.Which is smaller: −1/2 or −3/7? (a) −3/7 (b) −1/2
  13. 13.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −15/35
  14. 14.What is (−5/6) − (−8/9)? (a) −31/18 (b) −1/18 (c) 1/5 (d) 1/18
  15. 15.Write −12/42 in standard form (lowest terms, positive denominator). (a) −12/42 (b) 2/7 (c) −2/7 (d) −7/2
  16. 16.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) 7/9 (c) −7/9 (d) 9/7
  18. 18.Is −7/9 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−3/4) + 5/7? (a) 1/28 (b) −41/28 (c) 2/11 (d) −1/28
  20. 20.What is (−5/7) + (−1/8)? (a) 47/56 (b) −33/56 (c) −2/5 (d) −47/56
  21. 21.Which is smaller: −5/8 or −7/9? (a) −5/8 (b) −7/9
  22. 22.Is 2/6 positive or negative? (a) Positive (b) Negative
  23. 23.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −2/5 or −5/9? (a) −2/5 (b) −5/9
  25. 25.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−5/7) + 2/7? (a) −3/7 (b) −1 (c) 3/7 (d) −3/14
  27. 27.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  29. 29.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −20/36
  30. 30.What is (−8/9) − 1/7? (a) −65/63 (b) −9/16 (c) −47/63 (d) 65/63
  31. 31.What is 5/9 − (−4/7)? (a) 9/16 (b) 71/63 (c) −1/63 (d) −71/63
  32. 32.Is −1/5 positive or negative? (a) Positive (b) Negative
  33. 33.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −10/35 (c) −2/7 (d) 2/7
  34. 34.Is 7/9 positive or negative? (a) Positive (b) Negative
  35. 35.Is −1/6 positive or negative? (a) Negative (b) Positive
  36. 36.Is 6/8 positive or negative? (a) Positive (b) Negative
  37. 37.Is −7/6 positive or negative? (a) Negative (b) Positive
  38. 38.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−5/7) + 5/7? (a) −10/7 (b) 0
  40. 40.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8

Answer key

  1. 1/20
  2. −65/63
  3. 1/4
  4. −1/6
  5. Positive
  6. −7/8
  7. −2/9
  8. −1/2
  9. −23/30
  10. −1/5
  11. −67/63
  12. −1/2
  13. −3/7
  14. 1/18
  15. −2/7
  16. Negative
  17. 9/7
  18. Negative
  19. −1/28
  20. −47/56
  21. −7/9
  22. Positive
  23. Negative
  24. −2/5
  25. Negative
  26. −3/7
  27. Positive
  28. 5/9
  29. −5/9
  30. −65/63
  31. 71/63
  32. Negative
  33. −2/7
  34. Positive
  35. Negative
  36. Positive
  37. Negative
  38. Negative
  39. 0
  40. 8/7

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