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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 745 · 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 (−7/8) − (−1/2)? (a) −11/8 (b) −3/5 (c) 3/8 (d) −3/8
  2. 2.Is −9/(−5) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−1/8) + (−4/5)? (a) 27/40 (b) −37/40 (c) −5/13 (d) 37/40
  4. 4.What is (−5/9) + 6/7? (a) 1/16 (b) −89/63 (c) −19/63 (d) 19/63
  5. 5.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  6. 6.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  7. 7.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) −8/3 (c) 3/8 (d) −3/8
  8. 8.Which is bigger: −7/8 or −1/9? (a) −7/8 (b) −1/9
  9. 9.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  10. 10.Which is smaller: −1/4 or 4/9? (a) −1/4 (b) 4/9
  11. 11.Which is smaller: −1/4 or 3/8? (a) 3/8 (b) −1/4
  12. 12.Is −6/6 positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −3/5 or −1/9? (a) −1/9 (b) −3/5
  14. 14.What is 4/9 − (−8/9)? (a) −4/9 (b) 2/3 (c) −4/3 (d) 4/3
  15. 15.What is (−4/7) − 5/8? (a) −3/5 (b) −67/56 (c) 3/56 (d) 67/56
  16. 16.Which is smaller: −3/4 or 1/5? (a) 1/5 (b) −3/4
  17. 17.What is 5/9 − (−4/5)? (a) −11/45 (b) 61/45 (c) −61/45 (d) 9/14
  18. 18.Write −12/20 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −12/20 (d) 3/5
  19. 19.Which is bigger: −1/5 or 1/7? (a) −1/5 (b) 1/7
  20. 20.What is 5/8 − (−2/5)? (a) −41/40 (b) 41/40 (c) 7/13 (d) 9/40
  21. 21.Is 3/3 positive or negative? (a) Positive (b) Negative
  22. 22.What is 1/5 + (−6/7)? (a) −23/35 (b) −5/12 (c) 37/35 (d) 23/35
  23. 23.Which is bigger: −6/7 or −5/7? (a) −6/7 (b) −5/7
  24. 24.What is (−1/5) + 4/7? (a) −27/35 (b) −13/35 (c) 13/35 (d) 1/4
  25. 25.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) −1/7 (c) −7/1 (d) 1/7
  26. 26.What is (−3/7) + 8/9? (a) −29/63 (b) 29/63 (c) 5/16 (d) −83/63
  27. 27.Is 4/7 positive or negative? (a) Positive (b) Negative
  28. 28.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −4/14 (c) −7/2 (d) 2/7
  29. 29.Is 3/9 positive or negative? (a) Positive (b) Negative
  30. 30.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.What is (−2/5) + (−2/9)? (a) −8/45 (b) −2/7 (c) 28/45 (d) −28/45
  32. 32.Is −9/7 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −3/5 or −2/5? (a) −2/5 (b) −3/5
  34. 34.Write −8/20 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −8/20 (c) −5/2 (d) 2/5
  35. 35.What is (−2/5) + 2/7? (a) 4/35 (b) 0 (c) −4/35 (d) −24/35
  36. 36.What is the additive inverse of 7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  37. 37.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  38. 38.Write −21/24 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −21/24
  39. 39.What is (−1/3) + (−5/9)? (a) −1/2 (b) 8/9 (c) 2/9 (d) −8/9
  40. 40.Which is bigger: −5/7 or 4/9? (a) 4/9 (b) −5/7

Answer key

  1. −3/8
  2. Positive
  3. −37/40
  4. 19/63
  5. 4
  6. −7
  7. −3/8
  8. −1/9
  9. Negative
  10. −1/4
  11. −1/4
  12. Negative
  13. −3/5
  14. 4/3
  15. −67/56
  16. −3/4
  17. 61/45
  18. −3/5
  19. 1/7
  20. 41/40
  21. Positive
  22. −23/35
  23. −5/7
  24. 13/35
  25. −1/7
  26. 29/63
  27. Positive
  28. −2/7
  29. Positive
  30. Positive
  31. −28/45
  32. Negative
  33. −2/5
  34. −2/5
  35. −4/35
  36. −7/9
  37. Negative
  38. −7/8
  39. −8/9
  40. 4/9

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