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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 91 · 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 (−1/4) − 4/5? (a) 21/20 (b) −21/20 (c) −5/9 (d) 11/20
  2. 2.Which is bigger: −3/4 or −8/9? (a) −3/4 (b) −8/9
  3. 3.What is 3/4 + (−1/8)? (a) −5/8 (b) 7/8 (c) 5/8 (d) 1/6
  4. 4.What is (−2/9) + 6/7? (a) −40/63 (b) 40/63 (c) 1/4 (d) −68/63
  5. 5.What is 2/3 + (−2/7)? (a) −8/21 (b) 20/21 (c) 8/21 (d) 0
  6. 6.Which is smaller: −3/4 or −5/8? (a) −5/8 (b) −3/4
  7. 7.Which is bigger: −3/5 or 1/9? (a) −3/5 (b) 1/9
  8. 8.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−1/5) + (−7/8)? (a) 27/40 (b) −8/13 (c) −43/40 (d) 43/40
  10. 10.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  11. 11.What is (−3/7) + 1/5? (a) −22/35 (b) 8/35 (c) −1/6 (d) −8/35
  12. 12.What is (−2/5) + (−3/7)? (a) −5/12 (b) 1/35 (c) −29/35 (d) 29/35
  13. 13.What is (−2/5) + (−1/7)? (a) 19/35 (b) −1/4 (c) −19/35 (d) −9/35
  14. 14.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  15. 15.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −2/14
  16. 16.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −5/7 or 3/4? (a) 3/4 (b) −5/7
  18. 18.What is (−1/9) + 1/5? (a) 4/45 (b) −4/45 (c) 0 (d) −14/45
  19. 19.Which is bigger: −5/7 or 1/4? (a) −5/7 (b) 1/4
  20. 20.What is (−1/9) + (−2/5)? (a) −23/45 (b) 23/45 (c) 13/45 (d) −3/14
  21. 21.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  22. 22.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  23. 23.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  24. 24.Which is bigger: −4/9 or 8/9? (a) −4/9 (b) 8/9
  25. 25.What is 2/3 + (−2/9)? (a) 4/9 (b) −4/9 (c) 0 (d) 8/9
  26. 26.Is 2/8 positive or negative? (a) Positive (b) Negative
  27. 27.Is −1/9 positive or negative? (a) Negative (b) Positive
  28. 28.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −14/18 (b) 7/9 (c) −9/7 (d) −7/9
  29. 29.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  30. 30.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) 2/9 (d) −9/2
  31. 31.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/3) + (−1/8)? (a) 11/24 (b) −5/24 (c) −11/24 (d) −2/11
  34. 34.What is (−3/5) + (−1/7)? (a) −1/3 (b) 26/35 (c) −26/35 (d) −16/35
  35. 35.What is (−4/7) − (−5/7)? (a) 1/14 (b) 1/7 (c) −9/7 (d) −1/7
  36. 36.What is 7/9 + (−3/7)? (a) 1/4 (b) −22/63 (c) 22/63 (d) 76/63
  37. 37.What is (−5/7) + (−6/7)? (a) 1/7 (b) −11/7 (c) −11/14 (d) 11/7
  38. 38.What is (−7/8) − 8/9? (a) 127/72 (b) −127/72 (c) −15/17 (d) 1/72
  39. 39.Which is bigger: −3/5 or −8/9? (a) −8/9 (b) −3/5
  40. 40.What is 5/6 − (−8/9)? (a) 31/18 (b) −31/18 (c) −1/18 (d) 13/15

Answer key

  1. −21/20
  2. −3/4
  3. 5/8
  4. 40/63
  5. 8/21
  6. −3/4
  7. 1/9
  8. Positive
  9. −43/40
  10. 9/2
  11. −8/35
  12. −29/35
  13. −19/35
  14. −7/5
  15. −1/7
  16. Positive
  17. −5/7
  18. 4/45
  19. 1/4
  20. −23/45
  21. 7/2
  22. Positive
  23. −5/3
  24. 8/9
  25. 4/9
  26. Positive
  27. Negative
  28. −7/9
  29. −1/2
  30. −2/9
  31. Positive
  32. Negative
  33. −11/24
  34. −26/35
  35. 1/7
  36. 22/63
  37. −11/7
  38. −127/72
  39. −3/5
  40. 31/18

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