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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 615 · 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) + (−1/5)? (a) −27/40 (b) −43/40 (c) 43/40 (d) −8/13
  2. 2.Which is bigger: −1/3 or −1/9? (a) −1/3 (b) −1/9
  3. 3.Which is smaller: −4/5 or 6/7? (a) −4/5 (b) 6/7
  4. 4.Which is smaller: −8/9 or 2/3? (a) −8/9 (b) 2/3
  5. 5.Is −3/(−9) positive or negative? (a) Negative (b) Positive
  6. 6.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  7. 7.Which is smaller: −1/5 or 1/9? (a) 1/9 (b) −1/5
  8. 8.What is (−3/4) + (−3/5)? (a) 27/20 (b) −3/20 (c) −27/20 (d) −2/3
  9. 9.Which is bigger: −3/4 or −3/7? (a) −3/4 (b) −3/7
  10. 10.Write −4/32 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −4/32
  11. 11.Is −1/2 positive or negative? (a) Positive (b) Negative
  12. 12.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −4/20 (c) 1/5 (d) −5/1
  13. 13.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  14. 14.Write −4/24 in standard form (lowest terms, positive denominator). (a) −4/24 (b) −1/6 (c) −6/1 (d) 1/6
  15. 15.What is (−5/6) − (−4/9)? (a) −23/18 (b) 7/18 (c) −1/15 (d) −7/18
  16. 16.What is (−2/3) + 1/7? (a) 11/21 (b) −1/10 (c) −11/21 (d) −17/21
  17. 17.Which is bigger: −6/7 or 3/4? (a) 3/4 (b) −6/7
  18. 18.Which is smaller: −5/9 or −1/2? (a) −1/2 (b) −5/9
  19. 19.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  20. 20.Which is bigger: −1/7 or −3/7? (a) −1/7 (b) −3/7
  21. 21.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  22. 22.Which is smaller: −1/2 or 2/3? (a) −1/2 (b) 2/3
  23. 23.What is 7/9 − (−4/5)? (a) 71/45 (b) −71/45 (c) −1/45 (d) 11/14
  24. 24.Write −20/25 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −20/25 (d) −5/4
  25. 25.What is (−6/7) + 3/7? (a) −9/7 (b) 3/7 (c) −3/14 (d) −3/7
  26. 26.Which is smaller: −1/8 or 7/8? (a) 7/8 (b) −1/8
  27. 27.What is (−1/9) + 5/7? (a) −52/63 (b) −38/63 (c) 38/63 (d) 1/4
  28. 28.What is (−1/9) + 3/8? (a) −35/72 (b) 2/17 (c) −19/72 (d) 19/72
  29. 29.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  30. 30.Is 9/4 positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −2/9 or −3/4? (a) −3/4 (b) −2/9
  32. 32.Which is bigger: −1/6 or −1/2? (a) −1/2 (b) −1/6
  33. 33.What is 4/7 + (−2/5)? (a) 34/35 (b) 6/35 (c) 1/6 (d) −6/35
  34. 34.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/6) + (−7/8)? (a) −4/7 (b) 17/24 (c) 25/24 (d) −25/24
  36. 36.What is (−3/8) + 7/8? (a) 1/4 (b) −5/4 (c) 1/2 (d) −1/2
  37. 37.Which is bigger: −1/9 or 1/6? (a) −1/9 (b) 1/6
  38. 38.What is (−6/7) − (−1/3)? (a) −25/21 (b) −11/21 (c) 11/21 (d) −1/2
  39. 39.What is (−3/8) − 8/9? (a) 37/72 (b) −91/72 (c) −11/17 (d) 91/72
  40. 40.Write −4/18 in standard form (lowest terms, positive denominator). (a) −4/18 (b) −2/9 (c) −9/2 (d) 2/9

Answer key

  1. −43/40
  2. −1/9
  3. −4/5
  4. −8/9
  5. Positive
  6. Positive
  7. −1/5
  8. −27/20
  9. −3/7
  10. −1/8
  11. Negative
  12. −1/5
  13. −4/3
  14. −1/6
  15. −7/18
  16. −11/21
  17. 3/4
  18. −5/9
  19. −5
  20. −1/7
  21. −2
  22. −1/2
  23. 71/45
  24. −4/5
  25. −3/7
  26. −1/8
  27. 38/63
  28. 19/72
  29. Positive
  30. Positive
  31. −2/9
  32. −1/6
  33. 6/35
  34. Negative
  35. −25/24
  36. 1/2
  37. 1/6
  38. −11/21
  39. −91/72
  40. −2/9

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