← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 692 · 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.Which is smaller: −7/8 or −5/6? (a) −5/6 (b) −7/8
  2. 2.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −3/12 (c) −1/4 (d) −4/1
  3. 3.Which is bigger: −5/6 or −1/2? (a) −5/6 (b) −1/2
  4. 4.Which is smaller: −2/5 or −5/8? (a) −5/8 (b) −2/5
  5. 5.What is 1/9 + (−1/6)? (a) −1/18 (b) 1/18 (c) 0 (d) 5/18
  6. 6.Is −5/(−4) positive or negative? (a) Positive (b) Negative
  7. 7.Which is smaller: −3/7 or −3/5? (a) −3/7 (b) −3/5
  8. 8.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  9. 9.What is (−1/4) + (−5/9)? (a) −6/13 (b) 11/36 (c) −29/36 (d) 29/36
  10. 10.Is 6/3 positive or negative? (a) Negative (b) Positive
  11. 11.Which is bigger: −7/8 or −5/6? (a) −5/6 (b) −7/8
  12. 12.What is 1/2 + (−1/2)? (a) 0 (b) 1
  13. 13.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  14. 14.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of −1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  16. 16.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −1/2 or −2/5? (a) −2/5 (b) −1/2
  18. 18.Which is bigger: −1/3 or 1/8? (a) −1/3 (b) 1/8
  19. 19.Which is smaller: −4/7 or −5/6? (a) −4/7 (b) −5/6
  20. 20.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −6/7 or −1/2? (a) −1/2 (b) −6/7
  22. 22.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) 3/8 (c) −3/8 (d) −8/3
  23. 23.What is 2/5 − (−3/7)? (a) −1/35 (b) 5/12 (c) −29/35 (d) 29/35
  24. 24.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/2) − 1/2? (a) 1 (b) 0 (c) −1 (d) −1/2
  26. 26.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  27. 27.What is the additive inverse of 7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  28. 28.What is (−5/6) + (−2/3)? (a) −1/6 (b) −3/2 (c) 3/2 (d) −7/9
  29. 29.What is (−3/5) + 7/9? (a) 8/45 (b) 2/7 (c) −62/45 (d) −8/45
  30. 30.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −6/14 (d) −7/3
  31. 31.What is (−6/7) − 1/4? (a) −31/28 (b) −17/28 (c) −7/11 (d) 31/28
  32. 32.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −1/7 (d) −7
  33. 33.What is 3/5 − (−5/7)? (a) −46/35 (b) 2/3 (c) 46/35 (d) −4/35
  34. 34.What is 1/2 + (−2/5)? (a) −1/10 (b) −1/7 (c) 9/10 (d) 1/10
  35. 35.What is (−1/4) − (−1/6)? (a) −5/12 (b) −1/12 (c) 1/12 (d) 0
  36. 36.What is 3/8 + (−1/7)? (a) 13/56 (b) −13/56 (c) 29/56 (d) 2/15
  37. 37.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) 1/5 (d) −1/5
  38. 38.What is (−1/5) − (−1/3)? (a) −8/15 (b) 2/15 (c) −2/15 (d) 0
  39. 39.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −12/15 (d) −5/4
  40. 40.What is (−8/9) + (−2/9)? (a) −5/9 (b) −2/3 (c) −10/9 (d) 10/9

Answer key

  1. −7/8
  2. −1/4
  3. −1/2
  4. −5/8
  5. −1/18
  6. Positive
  7. −3/5
  8. 9/8
  9. −29/36
  10. Positive
  11. −5/6
  12. 0
  13. 7/2
  14. Positive
  15. 1/7
  16. Positive
  17. −2/5
  18. 1/8
  19. −5/6
  20. Negative
  21. −6/7
  22. −3/8
  23. 29/35
  24. Positive
  25. −1
  26. −2/5
  27. −7/9
  28. −3/2
  29. 8/45
  30. −3/7
  31. −31/28
  32. −7
  33. 46/35
  34. 1/10
  35. −1/12
  36. 13/56
  37. −1/5
  38. 2/15
  39. −4/5
  40. −10/9

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