← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 501 · 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 the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  2. 2.Write −10/18 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −10/18
  3. 3.Write −12/27 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −12/27
  4. 4.Write −48/54 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −48/54 (c) 8/9 (d) −8/9
  5. 5.What is 1/6 − (−1/8)? (a) 7/24 (b) 1/24 (c) −7/24 (d) 1/7
  6. 6.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  7. 7.Is −4/7 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−2/5) − 4/9? (a) −3/7 (b) −38/45 (c) 38/45 (d) 2/45
  9. 9.Is 8/7 positive or negative? (a) Positive (b) Negative
  10. 10.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −28/36 (c) −9/7 (d) −7/9
  11. 11.What is (−6/7) − (−2/7)? (a) −2/7 (b) −8/7 (c) −4/7 (d) 4/7
  12. 12.Which is smaller: −1/3 or −1/5? (a) −1/5 (b) −1/3
  13. 13.What is (−3/5) − (−5/6)? (a) −43/30 (b) 2/11 (c) −7/30 (d) 7/30
  14. 14.What is the additive inverse of 6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  15. 15.Is −9/8 positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/7) − 2/9? (a) −23/63 (b) −3/16 (c) 5/63 (d) 23/63
  17. 17.Which is bigger: −3/4 or −4/7? (a) −3/4 (b) −4/7
  18. 18.What is (−4/9) − 1/8? (a) −5/17 (b) 41/72 (c) −41/72 (d) −23/72
  19. 19.Which is bigger: −5/6 or −2/9? (a) −5/6 (b) −2/9
  20. 20.What is (−1/6) − (−2/9)? (a) 1/15 (b) −7/18 (c) 1/18 (d) −1/18
  21. 21.Is 7/3 positive or negative? (a) Negative (b) Positive
  22. 22.Is −3/7 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −5/8 or −2/9? (a) −5/8 (b) −2/9
  24. 24.What is 3/8 + (−1/3)? (a) 17/24 (b) −1/24 (c) 2/11 (d) 1/24
  25. 25.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  26. 26.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −1/7 (c) 1/7 (d) −7/1
  28. 28.Which is bigger: −1/5 or 5/9? (a) −1/5 (b) 5/9
  29. 29.What is 1/5 + (−1/3)? (a) 0 (b) 2/15 (c) 8/15 (d) −2/15
  30. 30.Which is bigger: −1/8 or 8/9? (a) −1/8 (b) 8/9
  31. 31.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −30/54 (d) −9/5
  32. 32.What is the additive inverse of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  33. 33.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  34. 34.What is 2/9 − (−1/5)? (a) −19/45 (b) 19/45 (c) 3/14 (d) 1/45
  35. 35.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/16 (c) −4/1 (d) 1/4
  36. 36.Which is smaller: −2/3 or 3/5? (a) 3/5 (b) −2/3
  37. 37.Which is smaller: −1/9 or −1/6? (a) −1/6 (b) −1/9
  38. 38.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) −1/8 (c) 1/8 (d) −8/1
  39. 39.What is the additive inverse of 3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  40. 40.What is (−5/7) + 2/5? (a) −39/35 (b) −11/35 (c) 11/35 (d) −1/4

Answer key

  1. −7/6
  2. −5/9
  3. −4/9
  4. −8/9
  5. 7/24
  6. Positive
  7. Negative
  8. −38/45
  9. Positive
  10. −7/9
  11. −4/7
  12. −1/3
  13. 7/30
  14. −6/7
  15. Negative
  16. −23/63
  17. −4/7
  18. −41/72
  19. −2/9
  20. 1/18
  21. Positive
  22. Negative
  23. −5/8
  24. 1/24
  25. Positive
  26. Positive
  27. −1/7
  28. 5/9
  29. −2/15
  30. 8/9
  31. −5/9
  32. −2/9
  33. Negative
  34. 19/45
  35. −1/4
  36. −2/3
  37. −1/6
  38. −1/8
  39. −3/5
  40. −11/35

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