← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 794 · 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.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −24/28 (d) −7/6
  2. 2.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  3. 3.Is −9/(−8) positive or negative? (a) Positive (b) Negative
  4. 4.What is 3/4 − (−1/3)? (a) 4/7 (b) 13/12 (c) 5/12 (d) −13/12
  5. 5.Which is bigger: −4/7 or −4/5? (a) −4/5 (b) −4/7
  6. 6.What is (−5/7) + (−3/4)? (a) 41/28 (b) −8/11 (c) −41/28 (d) 1/28
  7. 7.Is 9/5 positive or negative? (a) Positive (b) Negative
  8. 8.Which is smaller: −1/9 or −1/3? (a) −1/9 (b) −1/3
  9. 9.What is (−7/8) − (−1/2)? (a) −11/8 (b) −3/5 (c) 3/8 (d) −3/8
  10. 10.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) −7/8 (d) 7/8
  11. 11.Write −5/20 in standard form (lowest terms, positive denominator). (a) −5/20 (b) −4/1 (c) 1/4 (d) −1/4
  12. 12.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −30/48
  13. 13.Write −10/35 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −10/35 (d) −7/2
  14. 14.What is the additive inverse of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  15. 15.What is (−2/9) − (−1/9)? (a) −1/18 (b) −1/3 (c) −1/9 (d) 1/9
  16. 16.Which is smaller: −4/7 or 2/7? (a) −4/7 (b) 2/7
  17. 17.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −1/8 (d) −8
  18. 18.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  19. 19.What is (−2/3) + (−7/9)? (a) 13/9 (b) −3/4 (c) −13/9 (d) 1/9
  20. 20.What is 1/7 + (−7/9)? (a) 40/63 (b) 58/63 (c) −3/8 (d) −40/63
  21. 21.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  22. 22.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −3/15 (b) 1/5 (c) −1/5 (d) −5/1
  23. 23.Which is smaller: −3/4 or −7/8? (a) −7/8 (b) −3/4
  24. 24.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  25. 25.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −24/28 (c) −7/6 (d) 6/7
  26. 26.Which is bigger: −2/9 or −4/7? (a) −4/7 (b) −2/9
  27. 27.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −6/27 (d) −9/2
  28. 28.What is (−1/7) + (−1/7)? (a) 2/7 (b) 0 (c) −2/7 (d) −1/7
  29. 29.Is −7/5 positive or negative? (a) Positive (b) Negative
  30. 30.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) −5/2 (c) −2/5 (d) 2/5
  31. 31.Is 5/3 positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −5/9 or 2/5? (a) 2/5 (b) −5/9
  33. 33.What is (−1/8) − (−1/6)? (a) 0 (b) 1/24 (c) −1/24 (d) −7/24
  34. 34.What is 4/7 + (−1/8)? (a) 39/56 (b) −25/56 (c) 1/5 (d) 25/56
  35. 35.What is 1/9 + (−1/5)? (a) 0 (b) 4/45 (c) −4/45 (d) 14/45
  36. 36.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −35/45
  37. 37.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  38. 38.Is 8/3 positive or negative? (a) Positive (b) Negative
  39. 39.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −16/18 (d) −8/9
  40. 40.What is (−4/5) + (−2/9)? (a) −26/45 (b) 46/45 (c) −3/7 (d) −46/45

Answer key

  1. −6/7
  2. −8
  3. Positive
  4. 13/12
  5. −4/7
  6. −41/28
  7. Positive
  8. −1/3
  9. −3/8
  10. −7/8
  11. −1/4
  12. −5/8
  13. −2/7
  14. −3/5
  15. −1/9
  16. −4/7
  17. −1/8
  18. −1/3
  19. −13/9
  20. −40/63
  21. 5/3
  22. −1/5
  23. −7/8
  24. 3/4
  25. −6/7
  26. −2/9
  27. −2/9
  28. −2/7
  29. Negative
  30. −2/5
  31. Positive
  32. 2/5
  33. 1/24
  34. 25/56
  35. −4/45
  36. −7/9
  37. Positive
  38. Positive
  39. −8/9
  40. −46/45

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