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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 51 · 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 (−5/7) − (−1/9)? (a) −1/4 (b) 38/63 (c) −38/63 (d) −52/63
  2. 2.Write −15/25 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −15/25 (c) 3/5 (d) −5/3
  3. 3.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  4. 4.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  5. 5.What is 1/4 − (−5/7)? (a) −27/28 (b) 27/28 (c) −13/28 (d) 6/11
  6. 6.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  8. 8.Which is bigger: −5/6 or 1/2? (a) −5/6 (b) 1/2
  9. 9.What is (−2/7) + (−5/6)? (a) 47/42 (b) −7/13 (c) 23/42 (d) −47/42
  10. 10.What is 5/7 − (−4/5)? (a) 3/4 (b) −3/35 (c) 53/35 (d) −53/35
  11. 11.What is (−1/5) − 5/8? (a) −6/13 (b) 17/40 (c) −33/40 (d) 33/40
  12. 12.What is 7/8 − (−8/9)? (a) −1/72 (b) −127/72 (c) 15/17 (d) 127/72
  13. 13.What is (−4/9) + 1/8? (a) −3/17 (b) 23/72 (c) −41/72 (d) −23/72
  14. 14.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −40/45 (b) −9/8 (c) −8/9 (d) 8/9
  15. 15.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−6/7) − (−1/6)? (a) −43/42 (b) 29/42 (c) −5/13 (d) −29/42
  17. 17.What is (−3/8) − (−3/4)? (a) −3/8 (b) −9/8 (c) 0 (d) 3/8
  18. 18.What is (−2/3) − (−3/4)? (a) 1/12 (b) −1/12 (c) 1/7 (d) −17/12
  19. 19.What is (−1/8) − (−3/5)? (a) 19/40 (b) −29/40 (c) −19/40 (d) 2/13
  20. 20.Which is bigger: −1/8 or −3/7? (a) −3/7 (b) −1/8
  21. 21.Which is bigger: −3/4 or −6/7? (a) −3/4 (b) −6/7
  22. 22.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −20/45 (d) −9/4
  23. 23.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  24. 24.Is −8/8 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −3/4 or −1/4? (a) −3/4 (b) −1/4
  26. 26.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  27. 27.What is (−2/5) − 5/7? (a) 39/35 (b) −7/12 (c) −39/35 (d) 11/35
  28. 28.What is (−2/7) − (−1/6)? (a) −5/42 (b) −1/13 (c) 5/42 (d) −19/42
  29. 29.Write −20/45 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −20/45 (d) −9/4
  30. 30.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) −8/9 (c) 8/9 (d) −9/8
  31. 31.What is 1/5 − (−1/8)? (a) −13/40 (b) 3/40 (c) 2/13 (d) 13/40
  32. 32.Which is smaller: −1/2 or −2/3? (a) −2/3 (b) −1/2
  33. 33.Which is bigger: −3/8 or −4/5? (a) −4/5 (b) −3/8
  34. 34.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −7/8 or 8/9? (a) −7/8 (b) 8/9
  36. 36.What is (−2/5) + 4/7? (a) 1/6 (b) −34/35 (c) −6/35 (d) 6/35
  37. 37.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  38. 38.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  39. 39.Is 1/3 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −4/9 or 5/9? (a) 5/9 (b) −4/9

Answer key

  1. −38/63
  2. −3/5
  3. 3/5
  4. Positive
  5. 27/28
  6. Positive
  7. −7/5
  8. 1/2
  9. −47/42
  10. 53/35
  11. −33/40
  12. 127/72
  13. −23/72
  14. −8/9
  15. Positive
  16. −29/42
  17. 3/8
  18. 1/12
  19. 19/40
  20. −1/8
  21. −3/4
  22. −4/9
  23. Positive
  24. Negative
  25. −1/4
  26. 1/7
  27. −39/35
  28. −5/42
  29. −4/9
  30. −8/9
  31. 13/40
  32. −2/3
  33. −3/8
  34. Positive
  35. 8/9
  36. 6/35
  37. 4/7
  38. −4/3
  39. Positive
  40. 5/9

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