← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 50 · 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 −7/(−6) positive or negative? (a) Positive (b) Negative
  2. 2.Which is smaller: −5/7 or 7/8? (a) −5/7 (b) 7/8
  3. 3.Which is bigger: −3/5 or −1/4? (a) −1/4 (b) −3/5
  4. 4.What is (−2/5) + 4/5? (a) −6/5 (b) 2/5 (c) 1/5 (d) −2/5
  5. 5.Is 2/3 positive or negative? (a) Negative (b) Positive
  6. 6.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −5/10 (d) −1/2
  7. 7.What is (−2/5) + (−2/3)? (a) −1/2 (b) −16/15 (c) 4/15 (d) 16/15
  8. 8.What is (−2/7) − (−5/6)? (a) 23/42 (b) −47/42 (c) −23/42 (d) 3/13
  9. 9.What is (−1/7) + 2/9? (a) 1/16 (b) −5/63 (c) 5/63 (d) −23/63
  10. 10.What is 1/8 + (−7/9)? (a) 65/72 (b) 47/72 (c) −47/72 (d) −6/17
  11. 11.What is (−2/3) − 7/8? (a) −9/11 (b) 5/24 (c) −37/24 (d) 37/24
  12. 12.Which is bigger: −4/9 or 1/8? (a) −4/9 (b) 1/8
  13. 13.Which is bigger: −5/8 or −3/8? (a) −3/8 (b) −5/8
  14. 14.What is the additive inverse of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  15. 15.Write −8/12 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −8/12
  16. 16.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −6/12
  17. 17.Is −8/5 positive or negative? (a) Positive (b) Negative
  18. 18.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −18/42 (d) −7/3
  19. 19.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −4/28
  20. 20.What is the additive inverse of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  21. 21.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  22. 22.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  23. 23.Which is bigger: −5/8 or −3/5? (a) −3/5 (b) −5/8
  24. 24.What is (−7/8) − 1/5? (a) −27/40 (b) −43/40 (c) −8/13 (d) 43/40
  25. 25.What is (−2/5) + (−2/7)? (a) −4/35 (b) −1/3 (c) −24/35 (d) 24/35
  26. 26.What is (−5/8) − 4/9? (a) −13/72 (b) −77/72 (c) −9/17 (d) 77/72
  27. 27.What is (−1/8) + (−1/2)? (a) 5/8 (b) 3/8 (c) −1/5 (d) −5/8
  28. 28.Which is bigger: −3/5 or −1/2? (a) −3/5 (b) −1/2
  29. 29.What is (−1/7) + 1/4? (a) 3/28 (b) −3/28 (c) −11/28 (d) 0
  30. 30.Which is smaller: −2/5 or −6/7? (a) −6/7 (b) −2/5
  31. 31.What is 1/8 + (−3/8)? (a) 1/4 (b) −1/8 (c) −1/4 (d) 1/2
  32. 32.Which is smaller: −3/8 or −1/7? (a) −3/8 (b) −1/7
  33. 33.What is 3/5 − (−1/3)? (a) −14/15 (b) 4/15 (c) 14/15 (d) 1/2
  34. 34.What is (−5/7) − 1/8? (a) 47/56 (b) −2/5 (c) −33/56 (d) −47/56
  35. 35.What is (−7/8) + 5/9? (a) 23/72 (b) −2/17 (c) −103/72 (d) −23/72
  36. 36.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  37. 37.Which is smaller: −1/8 or −3/5? (a) −1/8 (b) −3/5
  38. 38.What is (−2/3) + 2/7? (a) −8/21 (b) 0 (c) 8/21 (d) −20/21
  39. 39.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −2/10 (c) −5/1 (d) 1/5
  40. 40.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −8/14

Answer key

  1. Positive
  2. −5/7
  3. −1/4
  4. 2/5
  5. Positive
  6. −1/2
  7. −16/15
  8. 23/42
  9. 5/63
  10. −47/72
  11. −37/24
  12. 1/8
  13. −3/8
  14. 1/4
  15. −2/3
  16. −1/2
  17. Negative
  18. −3/7
  19. −1/7
  20. 6/7
  21. −7/5
  22. −9/2
  23. −3/5
  24. −43/40
  25. −24/35
  26. −77/72
  27. −5/8
  28. −1/2
  29. 3/28
  30. −6/7
  31. −1/4
  32. −3/8
  33. 14/15
  34. −47/56
  35. −23/72
  36. 7/6
  37. −3/5
  38. −8/21
  39. −1/5
  40. −4/7

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