← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 255 · 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: −4/9 or −7/9? (a) −4/9 (b) −7/9
  2. 2.Which is bigger: −3/8 or −7/8? (a) −3/8 (b) −7/8
  3. 3.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −3/18 (b) 1/6 (c) −6/1 (d) −1/6
  4. 4.Is 5/7 positive or negative? (a) Positive (b) Negative
  5. 5.Write −4/24 in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −4/24
  6. 6.What is (−5/6) + (−3/7)? (a) −17/42 (b) 53/42 (c) −53/42 (d) −8/13
  7. 7.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −12/16 (d) 3/4
  8. 8.What is (−4/9) + (−1/4)? (a) −7/36 (b) −25/36 (c) 25/36 (d) −5/13
  9. 9.What is 1/9 + (−5/7)? (a) −1/4 (b) 52/63 (c) 38/63 (d) −38/63
  10. 10.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −9/12 (d) −4/3
  11. 11.What is (−3/8) − 3/4? (a) 9/8 (b) −9/8 (c) −1/2 (d) 3/8
  12. 12.What is (−2/5) + 3/4? (a) 1/9 (b) 7/20 (c) −23/20 (d) −7/20
  13. 13.Write −6/48 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −6/48 (d) −8/1
  14. 14.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −20/45
  15. 15.Which is smaller: −5/9 or −5/7? (a) −5/9 (b) −5/7
  16. 16.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  17. 17.What is (−3/7) − 3/4? (a) −6/11 (b) 9/28 (c) −33/28 (d) 33/28
  18. 18.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −10/15 (c) −2/3 (d) −3/2
  19. 19.Which is bigger: −4/5 or −7/9? (a) −4/5 (b) −7/9
  20. 20.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  21. 21.Write −6/30 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −6/30
  22. 22.Is −2/7 positive or negative? (a) Positive (b) Negative
  23. 23.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) −1/6 (d) 1/6
  24. 24.What is (−2/3) + (−2/9)? (a) −4/9 (b) 8/9 (c) −1/3 (d) −8/9
  25. 25.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) −3/2 (d) 2/3
  26. 26.What is 3/4 + (−2/5)? (a) 1/9 (b) 7/20 (c) −7/20 (d) 23/20
  27. 27.What is (−4/5) + (−2/5)? (a) −6/5 (b) 6/5 (c) −3/5 (d) −2/5
  28. 28.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  29. 29.What is 4/9 − (−3/5)? (a) 1/2 (b) −47/45 (c) −7/45 (d) 47/45
  30. 30.What is (−5/7) + (−2/3)? (a) −29/21 (b) −1/21 (c) 29/21 (d) −7/10
  31. 31.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  32. 32.Is −5/4 positive or negative? (a) Positive (b) Negative
  33. 33.What is (−3/8) + 1/6? (a) 5/24 (b) −1/7 (c) −5/24 (d) −13/24
  34. 34.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) −1/9 (c) −9 (d) 1/9
  35. 35.What is 7/9 − (−1/5)? (a) 26/45 (b) 44/45 (c) −44/45 (d) 4/7
  36. 36.What is (−3/5) − 4/9? (a) −47/45 (b) −7/45 (c) 47/45 (d) −1/2
  37. 37.Write −10/35 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −10/35 (c) 2/7 (d) −2/7
  38. 38.Which is bigger: −8/9 or −4/7? (a) −8/9 (b) −4/7
  39. 39.What is (−3/4) − (−1/4)? (a) −1 (b) −1/4 (c) −1/2 (d) 1/2
  40. 40.What is (−6/7) − (−7/8)? (a) 1/56 (b) −97/56 (c) 1/15 (d) −1/56

Answer key

  1. −7/9
  2. −3/8
  3. −1/6
  4. Positive
  5. −1/6
  6. −53/42
  7. −3/4
  8. −25/36
  9. −38/63
  10. −3/4
  11. −9/8
  12. 7/20
  13. −1/8
  14. −4/9
  15. −5/7
  16. −2/3
  17. −33/28
  18. −2/3
  19. −7/9
  20. −7/6
  21. −1/5
  22. Negative
  23. −1/6
  24. −8/9
  25. −2/3
  26. 7/20
  27. −6/5
  28. Positive
  29. 47/45
  30. −29/21
  31. 9/7
  32. Negative
  33. −5/24
  34. −9
  35. 44/45
  36. −47/45
  37. −2/7
  38. −4/7
  39. −1/2
  40. 1/56

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