← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 45 · 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 (−4/5) − (−2/7)? (a) −18/35 (b) −1/6 (c) −38/35 (d) 18/35
  2. 2.What is 3/5 − (−1/9)? (a) −32/45 (b) 32/45 (c) 22/45 (d) 2/7
  3. 3.What is 8/9 + (−8/9)? (a) 16/9 (b) 0
  4. 4.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −7/8 or −8/9? (a) −7/8 (b) −8/9
  6. 6.Is −7/(−8) positive or negative? (a) Positive (b) Negative
  7. 7.Which is smaller: −7/8 or −1/2? (a) −1/2 (b) −7/8
  8. 8.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  9. 9.What is (−3/7) − 1/4? (a) −5/28 (b) −19/28 (c) 19/28 (d) −4/11
  10. 10.Write −4/28 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −4/28
  11. 11.Which is bigger: −1/7 or −4/9? (a) −4/9 (b) −1/7
  12. 12.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) −2/5 (c) 2/5 (d) −5/2
  13. 13.What is (−1/5) + 2/9? (a) −19/45 (b) 1/45 (c) 1/14 (d) −1/45
  14. 14.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −6/18 (b) 1/3 (c) −1/3 (d) −3/1
  15. 15.What is 2/3 − (−8/9)? (a) −14/9 (b) 14/9 (c) 5/6 (d) −2/9
  16. 16.Which is bigger: −7/8 or −3/5? (a) −7/8 (b) −3/5
  17. 17.What is 8/9 − (−5/7)? (a) −101/63 (b) 13/16 (c) 101/63 (d) 11/63
  18. 18.What is (−3/7) − 2/7? (a) −5/14 (b) −1/7 (c) 5/7 (d) −5/7
  19. 19.Is 8/9 positive or negative? (a) Positive (b) Negative
  20. 20.Write −16/18 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) 8/9 (d) −16/18
  21. 21.What is the additive inverse of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  22. 22.What is (−2/9) − 4/5? (a) 26/45 (b) −46/45 (c) 46/45 (d) −3/7
  23. 23.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  24. 24.What is (−5/8) + (−7/9)? (a) −101/72 (b) 101/72 (c) 11/72 (d) −12/17
  25. 25.Which is bigger: −1/8 or −2/5? (a) −2/5 (b) −1/8
  26. 26.What is (−3/7) + (−3/7)? (a) −6/7 (b) −3/7 (c) 6/7 (d) 0
  27. 27.Write −20/35 in standard form (lowest terms, positive denominator). (a) −20/35 (b) −4/7 (c) −7/4 (d) 4/7
  28. 28.What is 3/4 + (−5/9)? (a) 47/36 (b) −2/13 (c) −7/36 (d) 7/36
  29. 29.What is 1/9 + (−4/5)? (a) −31/45 (b) −3/14 (c) 41/45 (d) 31/45
  30. 30.What is 7/8 + (−1/6)? (a) −17/24 (b) 3/7 (c) 17/24 (d) 25/24
  31. 31.Which is bigger: −2/3 or −6/7? (a) −6/7 (b) −2/3
  32. 32.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  33. 33.What is 2/3 − (−3/5)? (a) 19/15 (b) 1/15 (c) −19/15 (d) 5/8
  34. 34.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  35. 35.What is (−1/7) + (−8/9)? (a) −65/63 (b) 47/63 (c) 65/63 (d) −9/16
  36. 36.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−5/8) − (−2/3)? (a) −3/11 (b) −31/24 (c) −1/24 (d) 1/24
  38. 38.What is (−5/7) − 1/2? (a) −17/14 (b) 17/14 (c) −2/3 (d) −3/14
  39. 39.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  40. 40.Which is bigger: −4/7 or 5/8? (a) −4/7 (b) 5/8

Answer key

  1. −18/35
  2. 32/45
  3. 0
  4. Positive
  5. −8/9
  6. Positive
  7. −7/8
  8. 3/4
  9. −19/28
  10. −1/7
  11. −1/7
  12. −2/5
  13. 1/45
  14. −1/3
  15. 14/9
  16. −3/5
  17. 101/63
  18. −5/7
  19. Positive
  20. −8/9
  21. −3/4
  22. −46/45
  23. −2/5
  24. −101/72
  25. −1/8
  26. −6/7
  27. −4/7
  28. 7/36
  29. −31/45
  30. 17/24
  31. −2/3
  32. Negative
  33. 19/15
  34. 3/7
  35. −65/63
  36. Negative
  37. 1/24
  38. −17/14
  39. −6
  40. 5/8

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