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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 817 · 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 the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  2. 2.Which is bigger: −7/8 or 2/7? (a) −7/8 (b) 2/7
  3. 3.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −24/30 (c) −4/5 (d) −5/4
  4. 4.Write −3/18 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −3/18 (c) 1/6 (d) −6/1
  5. 5.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −4/24 (b) −6/1 (c) −1/6 (d) 1/6
  6. 6.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  7. 7.Write −21/27 in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −9/7 (d) −21/27
  8. 8.Which is bigger: −8/9 or 1/7? (a) 1/7 (b) −8/9
  9. 9.What is (−1/8) + 2/5? (a) 1/13 (b) −11/40 (c) −21/40 (d) 11/40
  10. 10.What is (−1/3) + (−2/7)? (a) −13/21 (b) −1/21 (c) 13/21 (d) −3/10
  11. 11.What is 4/7 + (−1/3)? (a) 19/21 (b) 3/10 (c) −5/21 (d) 5/21
  12. 12.Which is bigger: −7/8 or −2/5? (a) −2/5 (b) −7/8
  13. 13.Is 5/3 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−5/8) + (−5/9)? (a) −85/72 (b) 85/72 (c) −10/17 (d) −5/72
  15. 15.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  16. 16.What is (−2/9) + (−5/6)? (a) −19/18 (b) 19/18 (c) −7/15 (d) 11/18
  17. 17.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  18. 18.What is 1/4 + (−2/5)? (a) 3/20 (b) −1/9 (c) −3/20 (d) 13/20
  19. 19.What is (−1/2) − (−1/3)? (a) −1/6 (b) −5/6 (c) 1/6 (d) 0
  20. 20.What is (−1/5) + (−2/5)? (a) 1/5 (b) −3/10 (c) 3/5 (d) −3/5
  21. 21.What is 3/7 + (−4/5)? (a) −1/12 (b) 43/35 (c) −13/35 (d) 13/35
  22. 22.Write −4/28 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −4/28 (d) −1/7
  23. 23.Write −6/30 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −6/30 (d) −5/1
  24. 24.What is (−1/4) − (−3/8)? (a) −1/8 (b) 1/6 (c) −5/8 (d) 1/8
  25. 25.What is (−6/7) − 5/9? (a) −11/16 (b) −19/63 (c) 89/63 (d) −89/63
  26. 26.What is (−3/4) − (−5/8)? (a) 1/6 (b) 1/8 (c) −11/8 (d) −1/8
  27. 27.Which is bigger: −1/9 or 7/8? (a) −1/9 (b) 7/8
  28. 28.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −2/5 or −5/9? (a) −5/9 (b) −2/5
  30. 30.What is (−8/9) + 1/8? (a) 55/72 (b) −7/17 (c) −73/72 (d) −55/72
  31. 31.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.Is −3/2 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/7) − 1/5? (a) −32/35 (b) −1/2 (c) 32/35 (d) −18/35
  34. 34.Which is smaller: −6/7 or 7/8? (a) −6/7 (b) 7/8
  35. 35.What is (−4/5) − 1/5? (a) 1 (b) −1/2 (c) −1 (d) −3/5
  36. 36.What is (−3/5) − (−1/3)? (a) −4/15 (b) 4/15 (c) −14/15 (d) −1/4
  37. 37.What is (−1/3) − 1/4? (a) −1/12 (b) −2/7 (c) 7/12 (d) −7/12
  38. 38.What is (−7/9) + 4/5? (a) −3/14 (b) −71/45 (c) −1/45 (d) 1/45
  39. 39.Is −1/2 positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −5/7 or −2/5? (a) −2/5 (b) −5/7

Answer key

  1. 7/6
  2. 2/7
  3. −4/5
  4. −1/6
  5. −1/6
  6. 5
  7. −7/9
  8. 1/7
  9. 11/40
  10. −13/21
  11. 5/21
  12. −2/5
  13. Positive
  14. −85/72
  15. 9/7
  16. −19/18
  17. Negative
  18. −3/20
  19. −1/6
  20. −3/5
  21. −13/35
  22. −1/7
  23. −1/5
  24. 1/8
  25. −89/63
  26. −1/8
  27. 7/8
  28. Positive
  29. −2/5
  30. −55/72
  31. Positive
  32. Negative
  33. −32/35
  34. −6/7
  35. −1
  36. −4/15
  37. −7/12
  38. 1/45
  39. Negative
  40. −5/7

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