← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 902 · 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.Is 6/5 positive or negative? (a) Positive (b) Negative
  2. 2.Which is smaller: −1/4 or 3/4? (a) −1/4 (b) 3/4
  3. 3.What is (−7/8) + 4/7? (a) −1/5 (b) 17/56 (c) −17/56 (d) −81/56
  4. 4.Which is smaller: −2/7 or −3/4? (a) −3/4 (b) −2/7
  5. 5.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) −5/2 (d) 2/5
  6. 6.What is 1/9 + (−5/6)? (a) 13/18 (b) −4/15 (c) −13/18 (d) 17/18
  7. 7.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) −3/1 (d) 1/3
  8. 8.What is (−5/6) − 1/3? (a) −7/6 (b) −2/3 (c) 7/6 (d) −1/2
  9. 9.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/25 (d) −5/1
  10. 10.Write −4/12 in standard form (lowest terms, positive denominator). (a) −4/12 (b) −1/3 (c) −3/1 (d) 1/3
  11. 11.What is the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  12. 12.What is the additive inverse of −2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  13. 13.Which is bigger: −8/9 or 4/5? (a) 4/5 (b) −8/9
  14. 14.What is 5/8 + (−5/6)? (a) −5/24 (b) 5/24 (c) 0 (d) 35/24
  15. 15.Which is bigger: −7/9 or −5/9? (a) −7/9 (b) −5/9
  16. 16.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−5/8) + (−2/3)? (a) 31/24 (b) 1/24 (c) −7/11 (d) −31/24
  18. 18.What is (−3/7) + 8/9? (a) −29/63 (b) 5/16 (c) 29/63 (d) −83/63
  19. 19.What is the additive inverse of −2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  20. 20.Which is bigger: −2/5 or −3/4? (a) −2/5 (b) −3/4
  21. 21.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  22. 22.Is 7/7 positive or negative? (a) Negative (b) Positive
  23. 23.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −18/24 (d) −4/3
  24. 24.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) −7/1 (c) −1/7 (d) 1/7
  25. 25.Which is smaller: −3/5 or −7/9? (a) −3/5 (b) −7/9
  26. 26.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  27. 27.What is (−7/9) + 1/3? (a) 4/9 (b) −1/2 (c) −4/9 (d) −10/9
  28. 28.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  29. 29.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −2/7 or 7/8? (a) 7/8 (b) −2/7
  31. 31.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) −1/6 (d) 1/6
  32. 32.Which is smaller: −5/8 or −7/9? (a) −5/8 (b) −7/9
  33. 33.Write −4/32 in standard form (lowest terms, positive denominator). (a) −4/32 (b) −1/8 (c) −8/1 (d) 1/8
  34. 34.What is (−7/9) − 7/9? (a) 14/9 (b) −7/9 (c) −14/9 (d) 0
  35. 35.What is (−1/4) − 3/8? (a) −1/3 (b) 1/8 (c) −5/8 (d) 5/8
  36. 36.What is the additive inverse of −1/9? (a) −1/9 (b) 9 (c) −9 (d) 1/9
  37. 37.What is 8/9 + (−1/7)? (a) 65/63 (b) −47/63 (c) 47/63 (d) 7/16
  38. 38.What is 1/4 − (−1/6)? (a) 1/12 (b) 1/5 (c) 5/12 (d) −5/12
  39. 39.Is −7/4 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−5/9) − 2/7? (a) −7/16 (b) −17/63 (c) −53/63 (d) 53/63

Answer key

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

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