← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 996 · 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 (−7/9) − 2/9? (a) −1 (b) −1/2 (c) −5/9 (d) 1
  2. 2.What is 1/7 + (−5/7)? (a) 4/7 (b) 6/7 (c) −2/7 (d) −4/7
  3. 3.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −7/5 (d) −5/7
  4. 4.What is the additive inverse of 4/7? (a) −4/7 (b) 7/4 (c) −7/4 (d) 4/7
  5. 5.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) −2/7 (d) 2/7
  6. 6.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −2/12
  7. 7.Is −6/5 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−2/5) + 1/4? (a) −13/20 (b) −1/9 (c) 3/20 (d) −3/20
  9. 9.What is 2/3 − (−1/5)? (a) 3/8 (b) −13/15 (c) 7/15 (d) 13/15
  10. 10.What is (−7/8) − 2/9? (a) −9/17 (b) 79/72 (c) −47/72 (d) −79/72
  11. 11.Which is smaller: −3/8 or −2/3? (a) −2/3 (b) −3/8
  12. 12.What is (−1/8) + 5/9? (a) 31/72 (b) −49/72 (c) 4/17 (d) −31/72
  13. 13.What is 1/8 − (−7/9)? (a) −65/72 (b) 65/72 (c) −47/72 (d) 8/17
  14. 14.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −6/9 (d) −3/2
  15. 15.Which is smaller: −5/8 or 5/7? (a) 5/7 (b) −5/8
  16. 16.Which is bigger: −7/8 or −1/8? (a) −7/8 (b) −1/8
  17. 17.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−5/6) − 2/7? (a) −47/42 (b) 47/42 (c) −23/42 (d) −7/13
  19. 19.What is 1/7 + (−1/2)? (a) 9/14 (b) 0 (c) 5/14 (d) −5/14
  20. 20.What is 1/3 + (−2/7)? (a) −1/21 (b) −1/10 (c) 13/21 (d) 1/21
  21. 21.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −20/28 (b) 5/7 (c) −5/7 (d) −7/5
  22. 22.Write −4/12 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −4/12 (d) −3/1
  23. 23.What is 2/3 − (−2/5)? (a) 4/15 (b) 16/15 (c) 1/2 (d) −16/15
  24. 24.Is 6/3 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −1/6 or −6/7? (a) −1/6 (b) −6/7
  26. 26.What is (−4/9) − 2/7? (a) −46/63 (b) −3/8 (c) −10/63 (d) 46/63
  27. 27.Which is smaller: −4/5 or −6/7? (a) −6/7 (b) −4/5
  28. 28.Which is smaller: −2/5 or 4/5? (a) 4/5 (b) −2/5
  29. 29.Which is smaller: −7/9 or 2/7? (a) −7/9 (b) 2/7
  30. 30.What is (−1/9) − (−1/3)? (a) 0 (b) −4/9 (c) 2/9 (d) −2/9
  31. 31.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −4/12 (d) −1/3
  32. 32.Which is bigger: −1/4 or −1/6? (a) −1/6 (b) −1/4
  33. 33.Which is smaller: −1/7 or −1/2? (a) −1/2 (b) −1/7
  34. 34.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  35. 35.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −3/6
  36. 36.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −6/7 (d) −7/6
  37. 37.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  38. 38.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −2/16
  39. 39.Which is bigger: −2/9 or −2/5? (a) −2/9 (b) −2/5
  40. 40.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4

Answer key

  1. −1
  2. −4/7
  3. −5/7
  4. −4/7
  5. −2/7
  6. −1/6
  7. Negative
  8. −3/20
  9. 13/15
  10. −79/72
  11. −2/3
  12. 31/72
  13. 65/72
  14. −2/3
  15. −5/8
  16. −1/8
  17. Negative
  18. −47/42
  19. −5/14
  20. 1/21
  21. −5/7
  22. −1/3
  23. 16/15
  24. Positive
  25. −1/6
  26. −46/63
  27. −6/7
  28. −2/5
  29. −7/9
  30. 2/9
  31. −1/3
  32. −1/6
  33. −1/2
  34. 5/6
  35. −1/2
  36. −6/7
  37. −1/9
  38. −1/8
  39. −2/9
  40. −9/4

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