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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 213 · 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 4/7 + (−4/9)? (a) −8/63 (b) 0 (c) 64/63 (d) 8/63
  2. 2.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) 1/2 (d) −2/1
  3. 3.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −10/12 (c) −6/5 (d) 5/6
  4. 4.What is (−3/8) + 5/7? (a) −19/56 (b) 19/56 (c) 2/15 (d) −61/56
  5. 5.What is (−5/9) − 1/4? (a) −29/36 (b) −6/13 (c) 29/36 (d) −11/36
  6. 6.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −2/3 or −5/9? (a) −5/9 (b) −2/3
  8. 8.What is (−4/5) + (−1/3)? (a) −17/15 (b) −7/15 (c) −5/8 (d) 17/15
  9. 9.What is (−1/6) + 2/3? (a) 1/9 (b) 1/2 (c) −1/2 (d) −5/6
  10. 10.What is 1/3 + (−5/8)? (a) 23/24 (b) −4/11 (c) −7/24 (d) 7/24
  11. 11.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) −4/9 (c) −9/4 (d) 4/9
  12. 12.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  13. 13.Which is smaller: −7/8 or −3/8? (a) −3/8 (b) −7/8
  14. 14.Write −9/24 in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −9/24 (d) −3/8
  15. 15.What is (−3/5) − (−2/9)? (a) −37/45 (b) −1/14 (c) 17/45 (d) −17/45
  16. 16.Which is smaller: −1/7 or 3/8? (a) −1/7 (b) 3/8
  17. 17.What is the additive inverse of 5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  18. 18.Write −15/25 in standard form (lowest terms, positive denominator). (a) −15/25 (b) −5/3 (c) −3/5 (d) 3/5
  19. 19.Is 6/(−6) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−2/3) + (−5/6)? (a) 1/6 (b) −7/9 (c) −3/2 (d) 3/2
  21. 21.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −5/10 (c) −1/2 (d) −2/1
  22. 22.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  23. 23.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) 2/5 (d) −6/15
  24. 24.Which is bigger: −5/7 or 1/4? (a) 1/4 (b) −5/7
  25. 25.What is (−3/4) + 4/7? (a) 5/28 (b) −5/28 (c) −37/28 (d) 1/11
  26. 26.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  28. 28.Which is smaller: −5/7 or 4/9? (a) 4/9 (b) −5/7
  29. 29.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/4 or −2/7? (a) −1/4 (b) −2/7
  31. 31.What is (−1/7) − 8/9? (a) −65/63 (b) −9/16 (c) 47/63 (d) 65/63
  32. 32.Is −3/2 positive or negative? (a) Negative (b) Positive
  33. 33.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  34. 34.What is 3/4 − (−1/4)? (a) 1 (b) 1/2 (c) −1
  35. 35.Is 3/(−6) positive or negative? (a) Negative (b) Positive
  36. 36.Which is smaller: −1/9 or 4/9? (a) 4/9 (b) −1/9
  37. 37.Which is bigger: −4/7 or −2/7? (a) −2/7 (b) −4/7
  38. 38.Which is bigger: −6/7 or −4/5? (a) −4/5 (b) −6/7
  39. 39.What is 4/9 + (−7/9)? (a) 1/3 (b) −1/3 (c) 11/9 (d) −1/6
  40. 40.What is the additive inverse of −7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7

Answer key

  1. 8/63
  2. −1/2
  3. −5/6
  4. 19/56
  5. −29/36
  6. Positive
  7. −5/9
  8. −17/15
  9. 1/2
  10. −7/24
  11. 9/4
  12. −2/5
  13. −7/8
  14. −3/8
  15. −17/45
  16. −1/7
  17. −5/9
  18. −3/5
  19. Negative
  20. −3/2
  21. −1/2
  22. −6/5
  23. −2/5
  24. 1/4
  25. −5/28
  26. Negative
  27. −7/5
  28. −5/7
  29. Negative
  30. −2/7
  31. −65/63
  32. Negative
  33. −1/7
  34. 1
  35. Negative
  36. −1/9
  37. −2/7
  38. −4/5
  39. −1/3
  40. 7/8

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