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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 245 · 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 −4/32 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −4/32 (c) −1/8 (d) −8/1
  2. 2.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  3. 3.What is (−1/3) + (−1/3)? (a) 2/3 (b) −1/3 (c) −2/3 (d) 0
  4. 4.What is (−2/5) − (−6/7)? (a) 16/35 (b) 1/3 (c) −44/35 (d) −16/35
  5. 5.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−3/7) + 2/3? (a) −5/21 (b) 5/21 (c) −23/21 (d) −1/10
  7. 7.Which is smaller: −7/9 or 1/6? (a) 1/6 (b) −7/9
  8. 8.What is 5/7 − (−3/5)? (a) 46/35 (b) −46/35 (c) 2/3 (d) 4/35
  9. 9.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  10. 10.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  11. 11.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  12. 12.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −18/30 (b) −5/3 (c) 3/5 (d) −3/5
  13. 13.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −20/24 (c) −6/5 (d) −5/6
  14. 14.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −7/5 (d) −30/42
  15. 15.What is 5/7 − (−7/9)? (a) 3/4 (b) −94/63 (c) 94/63 (d) −4/63
  16. 16.What is the additive inverse of −1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  17. 17.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −5/20 (b) 1/4 (c) −1/4 (d) −4/1
  18. 18.What is (−4/5) − 2/9? (a) 46/45 (b) −3/7 (c) −46/45 (d) −26/45
  19. 19.What is 3/5 − (−1/8)? (a) −29/40 (b) 4/13 (c) 29/40 (d) 19/40
  20. 20.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  21. 21.What is 1/4 − (−5/8)? (a) −7/8 (b) 7/8 (c) 1/2 (d) −3/8
  22. 22.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/4 (c) −2/1 (d) −1/2
  23. 23.Which is smaller: −6/7 or −4/7? (a) −6/7 (b) −4/7
  24. 24.Is −9/(−8) positive or negative? (a) Positive (b) Negative
  25. 25.What is 1/9 + (−1/7)? (a) 2/63 (b) 0 (c) −2/63 (d) 16/63
  26. 26.What is 5/9 + (−1/2)? (a) −1/18 (b) 19/18 (c) 4/11 (d) 1/18
  27. 27.What is the additive inverse of 6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  28. 28.Which is bigger: −7/8 or 1/5? (a) −7/8 (b) 1/5
  29. 29.Which is bigger: −4/9 or −2/9? (a) −4/9 (b) −2/9
  30. 30.What is (−8/9) + (−2/7)? (a) −38/63 (b) −5/8 (c) 74/63 (d) −74/63
  31. 31.Which is bigger: −1/8 or −3/8? (a) −1/8 (b) −3/8
  32. 32.Is −8/6 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/7) + 1/2? (a) −17/14 (b) −4/9 (c) 3/14 (d) −3/14
  34. 34.What is the additive inverse of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  35. 35.Which is bigger: −1/5 or −5/7? (a) −1/5 (b) −5/7
  36. 36.What is the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  37. 37.What is 1/5 − (−5/6)? (a) −19/30 (b) 6/11 (c) 31/30 (d) −31/30
  38. 38.What is (−3/7) + (−2/3)? (a) 5/21 (b) −1/2 (c) −23/21 (d) 23/21
  39. 39.What is (−4/5) − (−3/4)? (a) −31/20 (b) −1/20 (c) −1/9 (d) 1/20
  40. 40.Which is smaller: −1/6 or −1/4? (a) −1/4 (b) −1/6

Answer key

  1. −1/8
  2. 5
  3. −2/3
  4. 16/35
  5. Positive
  6. 5/21
  7. −7/9
  8. 46/35
  9. −1/5
  10. −4/3
  11. −1/8
  12. −3/5
  13. −5/6
  14. −5/7
  15. 94/63
  16. 1/4
  17. −1/4
  18. −46/45
  19. 29/40
  20. −3
  21. 7/8
  22. −1/2
  23. −6/7
  24. Positive
  25. −2/63
  26. 1/18
  27. −6/7
  28. 1/5
  29. −2/9
  30. −74/63
  31. −1/8
  32. Negative
  33. −3/14
  34. 8/9
  35. −1/5
  36. 3/4
  37. 31/30
  38. −23/21
  39. −1/20
  40. −1/4

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