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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 907 · 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 (−5/8) + (−4/9)? (a) −77/72 (b) −9/17 (c) −13/72 (d) 77/72
  2. 2.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −21/24
  3. 3.What is (−3/8) + 3/4? (a) −3/8 (b) 0 (c) 3/8 (d) −9/8
  4. 4.What is 4/5 + (−3/7)? (a) 13/35 (b) 43/35 (c) 1/12 (d) −13/35
  5. 5.Which is smaller: −2/3 or 7/8? (a) 7/8 (b) −2/3
  6. 6.Is 5/2 positive or negative? (a) Positive (b) Negative
  7. 7.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) −6/5 (c) −5/6 (d) 5/6
  8. 8.What is (−1/4) + (−4/9)? (a) 25/36 (b) 7/36 (c) −5/13 (d) −25/36
  9. 9.Which is bigger: −1/9 or −3/4? (a) −3/4 (b) −1/9
  10. 10.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −12/28 (b) 3/7 (c) −7/3 (d) −3/7
  11. 11.What is (−2/3) + 3/5? (a) −1/15 (b) 1/15 (c) −19/15 (d) 1/8
  12. 12.What is 5/9 − (−2/7)? (a) 17/63 (b) 53/63 (c) 7/16 (d) −53/63
  13. 13.What is (−2/5) + 1/6? (a) 7/30 (b) −1/11 (c) −17/30 (d) −7/30
  14. 14.Which is smaller: −1/2 or 1/6? (a) 1/6 (b) −1/2
  15. 15.Is −3/6 positive or negative? (a) Negative (b) Positive
  16. 16.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −1/8 or 2/7? (a) 2/7 (b) −1/8
  18. 18.What is (−3/5) − 1/7? (a) −26/35 (b) −16/35 (c) 26/35 (d) −1/3
  19. 19.What is (−3/4) − 4/7? (a) −5/28 (b) 37/28 (c) −7/11 (d) −37/28
  20. 20.Which is bigger: −8/9 or 2/9? (a) −8/9 (b) 2/9
  21. 21.What is (−7/9) + (−1/8)? (a) −65/72 (b) −8/17 (c) 65/72 (d) −47/72
  22. 22.What is (−1/7) + 1/3? (a) 0 (b) 4/21 (c) −10/21 (d) −4/21
  23. 23.What is (−8/9) − (−1/9)? (a) −1 (b) 7/9 (c) −7/9 (d) −7/18
  24. 24.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −12/27 (c) 4/9 (d) −4/9
  25. 25.What is the additive inverse of −1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  26. 26.What is (−6/7) − (−2/9)? (a) −68/63 (b) 40/63 (c) −1/4 (d) −40/63
  27. 27.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −12/27
  28. 28.What is (−5/7) − (−1/5)? (a) −18/35 (b) 18/35 (c) −32/35 (d) −1/3
  29. 29.What is (−2/9) − 5/6? (a) −7/15 (b) 11/18 (c) 19/18 (d) −19/18
  30. 30.What is (−3/7) + 2/9? (a) 13/63 (b) −41/63 (c) −13/63 (d) −1/16
  31. 31.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/9) + 1/7? (a) 2/63 (b) −2/63 (c) −16/63 (d) 0
  33. 33.What is (−5/6) + 2/7? (a) 23/42 (b) −3/13 (c) −47/42 (d) −23/42
  34. 34.What is (−5/7) − (−6/7)? (a) −1/7 (b) 1/7 (c) −11/7 (d) 1/14
  35. 35.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) −2/7 (c) 2/7 (d) −7/2
  36. 36.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  38. 38.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −5/1 (d) −1/5
  39. 39.What is the additive inverse of 2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  40. 40.Which is smaller: −5/7 or −5/8? (a) −5/7 (b) −5/8

Answer key

  1. −77/72
  2. −7/8
  3. 3/8
  4. 13/35
  5. −2/3
  6. Positive
  7. −5/6
  8. −25/36
  9. −1/9
  10. −3/7
  11. −1/15
  12. 53/63
  13. −7/30
  14. −1/2
  15. Negative
  16. Negative
  17. −1/8
  18. −26/35
  19. −37/28
  20. 2/9
  21. −65/72
  22. 4/21
  23. −7/9
  24. −4/9
  25. 1/8
  26. −40/63
  27. −4/9
  28. −18/35
  29. −19/18
  30. −13/63
  31. Positive
  32. 2/63
  33. −23/42
  34. 1/7
  35. −2/7
  36. Positive
  37. 8
  38. −1/5
  39. −2/9
  40. −5/7

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