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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 738 · 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.Which is bigger: −4/7 or −3/4? (a) −3/4 (b) −4/7
  2. 2.What is (−5/9) + (−1/9)? (a) 2/3 (b) −4/9 (c) −1/3 (d) −2/3
  3. 3.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) −9/2 (d) 2/9
  4. 4.Which is smaller: −1/9 or 7/9? (a) 7/9 (b) −1/9
  5. 5.Is −8/8 positive or negative? (a) Positive (b) Negative
  6. 6.What is (−2/5) + 3/7? (a) −29/35 (b) −1/35 (c) 1/12 (d) 1/35
  7. 7.Is 6/7 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−3/8) + (−3/7)? (a) −2/5 (b) 3/56 (c) −45/56 (d) 45/56
  9. 9.Is 7/4 positive or negative? (a) Negative (b) Positive
  10. 10.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −14/18 (b) 7/9 (c) −9/7 (d) −7/9
  11. 11.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  12. 12.Write −15/35 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −15/35
  13. 13.Write −12/18 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −12/18
  14. 14.What is 1/6 + (−6/7)? (a) −5/13 (b) 29/42 (c) 43/42 (d) −29/42
  15. 15.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  17. 17.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −4/5 (d) −5/4
  18. 18.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  19. 19.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  20. 20.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −21/27 (b) 7/9 (c) −7/9 (d) −9/7
  21. 21.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  22. 22.What is 8/9 − (−1/3)? (a) −11/9 (b) 3/4 (c) 5/9 (d) 11/9
  23. 23.What is (−4/9) − (−2/7)? (a) −1/8 (b) −10/63 (c) 10/63 (d) −46/63
  24. 24.What is 4/5 + (−1/5)? (a) 3/5 (b) 1 (c) 3/10 (d) −3/5
  25. 25.What is (−1/5) − (−5/6)? (a) −19/30 (b) 4/11 (c) −31/30 (d) 19/30
  26. 26.What is 5/9 + (−6/7)? (a) 19/63 (b) −19/63 (c) −1/16 (d) 89/63
  27. 27.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −3/15 (c) 1/5 (d) −5/1
  28. 28.Which is smaller: −7/8 or −1/9? (a) −1/9 (b) −7/8
  29. 29.What is (−2/9) − 3/4? (a) 19/36 (b) −5/13 (c) 35/36 (d) −35/36
  30. 30.Is 2/5 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−1/5) + (−4/5)? (a) 1 (b) −1 (c) 3/5 (d) −1/2
  32. 32.What is (−5/8) − 5/7? (a) 5/56 (b) −75/56 (c) −2/3 (d) 75/56
  33. 33.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −7/5 (d) −10/14
  34. 34.Is 8/(−6) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−7/9) + (−7/8)? (a) 119/72 (b) −14/17 (c) 7/72 (d) −119/72
  36. 36.Is 6/5 positive or negative? (a) Negative (b) Positive
  37. 37.What is the additive inverse of 5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  38. 38.Is 5/3 positive or negative? (a) Negative (b) Positive
  39. 39.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −6/14 (c) −3/7 (d) −7/3
  40. 40.What is 3/4 + (−3/4)? (a) 0 (b) 3/2

Answer key

  1. −4/7
  2. −2/3
  3. −2/9
  4. −1/9
  5. Negative
  6. 1/35
  7. Positive
  8. −45/56
  9. Positive
  10. −7/9
  11. −1/3
  12. −3/7
  13. −2/3
  14. −29/42
  15. Negative
  16. −9/5
  17. −4/5
  18. −5/2
  19. Negative
  20. −7/9
  21. 3/5
  22. 11/9
  23. −10/63
  24. 3/5
  25. 19/30
  26. −19/63
  27. −1/5
  28. −7/8
  29. −35/36
  30. Positive
  31. −1
  32. −75/56
  33. −5/7
  34. Negative
  35. −119/72
  36. Positive
  37. −5/7
  38. Positive
  39. −3/7
  40. 0

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