← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 282 · 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 −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) 2/9 (d) −2/9
  2. 2.What is (−5/7) + 3/8? (a) −19/56 (b) −2/15 (c) −61/56 (d) 19/56
  3. 3.What is the additive inverse of −6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  4. 4.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/4 (c) −2/1 (d) −1/2
  5. 5.What is the reciprocal (multiplicative inverse) of −6/7? (a) −7/6 (b) 7/6 (c) −6/7 (d) 6/7
  6. 6.What is (−1/3) − 7/9? (a) −10/9 (b) 10/9 (c) −2/3 (d) 4/9
  7. 7.What is (−4/9) − (−7/8)? (a) −31/72 (b) 3/17 (c) 31/72 (d) −95/72
  8. 8.Which is smaller: −5/8 or 1/9? (a) 1/9 (b) −5/8
  9. 9.Is 5/7 positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −1/6 or −2/5? (a) −2/5 (b) −1/6
  11. 11.Write −6/14 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −6/14 (d) −7/3
  12. 12.Which is bigger: −1/8 or −3/8? (a) −1/8 (b) −3/8
  13. 13.Is 6/3 positive or negative? (a) Negative (b) Positive
  14. 14.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  15. 15.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −6/10
  16. 16.What is the additive inverse of −1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  17. 17.What is (−5/7) + 6/7? (a) −11/7 (b) −1/7 (c) 1/14 (d) 1/7
  18. 18.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  19. 19.What is 4/5 + (−4/9)? (a) −16/45 (b) 56/45 (c) 0 (d) 16/45
  20. 20.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −5/7 (d) −7/5
  21. 21.Is −3/8 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−8/9) + (−8/9)? (a) 16/9 (b) −8/9 (c) 0 (d) −16/9
  23. 23.Which is bigger: −2/5 or −6/7? (a) −2/5 (b) −6/7
  24. 24.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −18/30 (c) −5/3 (d) −3/5
  25. 25.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  26. 26.Write −14/18 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −14/18
  27. 27.Is 5/3 positive or negative? (a) Positive (b) Negative
  28. 28.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −2/12 (d) −6/1
  29. 29.Is 3/3 positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −3/4 or 6/7? (a) −3/4 (b) 6/7
  31. 31.What is (−4/9) − 2/7? (a) −3/8 (b) 46/63 (c) −10/63 (d) −46/63
  32. 32.What is (−1/9) − 4/5? (a) 41/45 (b) −5/14 (c) −41/45 (d) 31/45
  33. 33.What is (−4/7) + (−3/4)? (a) −37/28 (b) 37/28 (c) −7/11 (d) 5/28
  34. 34.What is 7/9 + (−3/8)? (a) −29/72 (b) 4/17 (c) 83/72 (d) 29/72
  35. 35.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−2/5) + (−1/6)? (a) −17/30 (b) −3/11 (c) −7/30 (d) 17/30
  37. 37.What is (−4/9) − (−2/7)? (a) 10/63 (b) −1/8 (c) −10/63 (d) −46/63
  38. 38.What is 7/9 + (−3/7)? (a) 76/63 (b) 1/4 (c) 22/63 (d) −22/63
  39. 39.Is −1/4 positive or negative? (a) Negative (b) Positive
  40. 40.Is 1/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. −2/9
  2. −19/56
  3. 6/7
  4. −1/2
  5. −7/6
  6. −10/9
  7. 31/72
  8. −5/8
  9. Positive
  10. −1/6
  11. −3/7
  12. −1/8
  13. Positive
  14. Negative
  15. −3/5
  16. 1/8
  17. 1/7
  18. Negative
  19. 16/45
  20. −5/7
  21. Negative
  22. −16/9
  23. −2/5
  24. −3/5
  25. 7
  26. −7/9
  27. Positive
  28. −1/6
  29. Positive
  30. −3/4
  31. −46/63
  32. −41/45
  33. −37/28
  34. 29/72
  35. Positive
  36. −17/30
  37. −10/63
  38. 22/63
  39. Negative
  40. Positive

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