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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 429 · 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 (−1/6) − (−2/7)? (a) 5/42 (b) −19/42 (c) −5/42 (d) 1/13
  2. 2.Is 6/3 positive or negative? (a) Positive (b) Negative
  3. 3.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −21/27 (d) −9/7
  4. 4.What is (−2/9) + (−4/5)? (a) −3/7 (b) 26/45 (c) 46/45 (d) −46/45
  5. 5.What is (−5/6) + 5/8? (a) −5/24 (b) 0 (c) −35/24 (d) 5/24
  6. 6.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  7. 7.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −3/24 (b) 1/8 (c) −8/1 (d) −1/8
  8. 8.Which is bigger: −1/7 or −1/8? (a) −1/7 (b) −1/8
  9. 9.Is 2/3 positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −2/5 or −4/9? (a) −4/9 (b) −2/5
  11. 11.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −12/32 (b) −8/3 (c) −3/8 (d) 3/8
  12. 12.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  13. 13.Which is smaller: −1/7 or −4/5? (a) −4/5 (b) −1/7
  14. 14.What is the additive inverse of 4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  15. 15.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  17. 17.Is −2/8 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/5) + 4/7? (a) 1/35 (b) −1/35 (c) −41/35 (d) 1/12
  19. 19.What is (−3/4) − 3/7? (a) −6/11 (b) −33/28 (c) 33/28 (d) −9/28
  20. 20.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  21. 21.What is (−6/7) − 5/6? (a) −11/13 (b) 71/42 (c) −1/42 (d) −71/42
  22. 22.What is (−3/4) + (−4/9)? (a) 43/36 (b) −7/13 (c) −11/36 (d) −43/36
  23. 23.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −30/35
  24. 24.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  25. 25.What is 3/8 − (−7/9)? (a) 83/72 (b) −83/72 (c) −29/72 (d) 10/17
  26. 26.Which is bigger: −4/7 or 1/7? (a) 1/7 (b) −4/7
  27. 27.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  28. 28.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  29. 29.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  30. 30.Which is bigger: −7/9 or −1/5? (a) −1/5 (b) −7/9
  31. 31.What is 1/3 − (−7/8)? (a) −13/24 (b) −29/24 (c) 29/24 (d) 8/11
  32. 32.What is (−5/9) + (−4/5)? (a) −61/45 (b) 61/45 (c) −9/14 (d) 11/45
  33. 33.What is 1/8 − (−5/7)? (a) −33/56 (b) −47/56 (c) 2/5 (d) 47/56
  34. 34.What is (−2/5) + 3/8? (a) 1/40 (b) −31/40 (c) 1/13 (d) −1/40
  35. 35.What is (−1/3) + 2/5? (a) −1/15 (b) −11/15 (c) 1/8 (d) 1/15
  36. 36.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −5/15 (c) 1/3 (d) −3/1
  37. 37.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  38. 38.Write −12/20 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −12/20
  39. 39.What is the additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  40. 40.Is −2/9 positive or negative? (a) Positive (b) Negative

Answer key

  1. 5/42
  2. Positive
  3. −7/9
  4. −46/45
  5. −5/24
  6. Positive
  7. −1/8
  8. −1/8
  9. Positive
  10. −2/5
  11. −3/8
  12. −3/5
  13. −4/5
  14. −4/5
  15. Positive
  16. −6
  17. Negative
  18. −1/35
  19. −33/28
  20. −1/2
  21. −71/42
  22. −43/36
  23. −6/7
  24. 9/7
  25. 83/72
  26. 1/7
  27. Positive
  28. 8/7
  29. 6
  30. −1/5
  31. 29/24
  32. −61/45
  33. 47/56
  34. −1/40
  35. 1/15
  36. −1/3
  37. −5/4
  38. −3/5
  39. 5/6
  40. Negative

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