← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 663 · 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 (−5/9) + 1/7? (a) −44/63 (b) 26/63 (c) −26/63 (d) −1/4
  2. 2.What is 6/7 − (−3/5)? (a) 51/35 (b) −51/35 (c) 9/35 (d) 3/4
  3. 3.What is (−1/8) + (−4/5)? (a) 37/40 (b) 27/40 (c) −37/40 (d) −5/13
  4. 4.Write −24/42 in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −7/4 (d) −24/42
  5. 5.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  6. 6.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  7. 7.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.What is (−2/3) − 1/5? (a) −3/8 (b) −13/15 (c) −7/15 (d) 13/15
  9. 9.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  10. 10.Which is smaller: −2/5 or −4/5? (a) −2/5 (b) −4/5
  11. 11.What is (−1/9) + 1/7? (a) 2/63 (b) −16/63 (c) 0 (d) −2/63
  12. 12.What is (−1/7) + 2/5? (a) 9/35 (b) −9/35 (c) 1/12 (d) −19/35
  13. 13.What is (−3/5) + (−7/9)? (a) 8/45 (b) 62/45 (c) −62/45 (d) −5/7
  14. 14.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−1/6) + (−7/9)? (a) 17/18 (b) −17/18 (c) −8/15 (d) 11/18
  16. 16.Write −8/10 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) 4/5 (d) −8/10
  17. 17.What is the additive inverse of −3/8? (a) 3/8 (b) −3/8 (c) 8/3 (d) −8/3
  18. 18.Which is bigger: −2/3 or 4/9? (a) −2/3 (b) 4/9
  19. 19.Write −25/40 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −25/40 (d) −5/8
  20. 20.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.Is −9/7 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −6/7 or −5/7? (a) −5/7 (b) −6/7
  23. 23.What is (−3/5) − 3/4? (a) −2/3 (b) 3/20 (c) −27/20 (d) 27/20
  24. 24.Which is smaller: −3/8 or 1/2? (a) 1/2 (b) −3/8
  25. 25.Which is bigger: −5/7 or −7/9? (a) −5/7 (b) −7/9
  26. 26.What is (−6/7) − 3/5? (a) 51/35 (b) −9/35 (c) −51/35 (d) −3/4
  27. 27.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  28. 28.Which is bigger: −1/2 or −2/3? (a) −2/3 (b) −1/2
  29. 29.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −3/9 (d) −1/3
  30. 30.What is 5/7 + (−4/5)? (a) 3/35 (b) 1/12 (c) 53/35 (d) −3/35
  31. 31.Which is smaller: −2/5 or −1/5? (a) −2/5 (b) −1/5
  32. 32.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−4/7) − (−1/2)? (a) −15/14 (b) −1/14 (c) −1/3 (d) 1/14
  34. 34.Which is bigger: −1/8 or −2/3? (a) −2/3 (b) −1/8
  35. 35.What is 2/9 + (−4/7)? (a) 50/63 (b) −1/8 (c) −22/63 (d) 22/63
  36. 36.Write −20/24 in standard form (lowest terms, positive denominator). (a) −20/24 (b) −6/5 (c) −5/6 (d) 5/6
  37. 37.What is (−3/5) + (−3/5)? (a) −6/5 (b) 0 (c) −3/5 (d) 6/5
  38. 38.What is 1/8 − (−2/3)? (a) 19/24 (b) −19/24 (c) 3/11 (d) −13/24
  39. 39.Which is bigger: −1/2 or −5/7? (a) −5/7 (b) −1/2
  40. 40.Is 5/(−9) positive or negative? (a) Negative (b) Positive

Answer key

  1. −26/63
  2. 51/35
  3. −37/40
  4. −4/7
  5. −8/5
  6. 9/5
  7. Positive
  8. −13/15
  9. −3/8
  10. −4/5
  11. 2/63
  12. 9/35
  13. −62/45
  14. Positive
  15. −17/18
  16. −4/5
  17. 3/8
  18. 4/9
  19. −5/8
  20. Positive
  21. Negative
  22. −5/7
  23. −27/20
  24. −3/8
  25. −5/7
  26. −51/35
  27. 6
  28. −1/2
  29. −1/3
  30. −3/35
  31. −2/5
  32. Negative
  33. −1/14
  34. −1/8
  35. −22/63
  36. −5/6
  37. −6/5
  38. 19/24
  39. −1/2
  40. Negative

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