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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 355 · 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 (−3/8) + (−3/4)? (a) −9/8 (b) 9/8 (c) −1/2 (d) 3/8
  2. 2.Which is bigger: −2/5 or −1/3? (a) −1/3 (b) −2/5
  3. 3.What is (−5/7) − (−5/6)? (a) −65/42 (b) −5/42 (c) 0 (d) 5/42
  4. 4.What is (−4/7) − (−7/9)? (a) −13/63 (b) 3/16 (c) −85/63 (d) 13/63
  5. 5.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −5/9 or −7/8? (a) −5/9 (b) −7/8
  7. 7.Which is bigger: −1/4 or 1/6? (a) 1/6 (b) −1/4
  8. 8.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Which is bigger: −3/8 or 4/5? (a) −3/8 (b) 4/5
  10. 10.What is (−5/7) + (−3/5)? (a) 46/35 (b) −2/3 (c) −46/35 (d) −4/35
  11. 11.Write −8/28 in standard form (lowest terms, positive denominator). (a) −8/28 (b) 2/7 (c) −7/2 (d) −2/7
  12. 12.Which is bigger: −1/4 or −2/7? (a) −2/7 (b) −1/4
  13. 13.Is 3/4 positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −5/9 or 3/5? (a) −5/9 (b) 3/5
  15. 15.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −6/15 (d) 2/5
  16. 16.Which is bigger: −1/2 or −5/6? (a) −5/6 (b) −1/2
  17. 17.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  18. 18.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −3/4 (c) −4/3 (d) 3/4
  19. 19.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  20. 20.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  21. 21.What is the additive inverse of 1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  22. 22.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  23. 23.What is (−1/7) − 1/6? (a) 1/42 (b) 13/42 (c) −2/13 (d) −13/42
  24. 24.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) 8/9 (d) −40/45
  25. 25.Which is smaller: −1/9 or 4/9? (a) 4/9 (b) −1/9
  26. 26.Which is bigger: −3/5 or 7/9? (a) −3/5 (b) 7/9
  27. 27.What is 3/7 + (−1/9)? (a) 20/63 (b) −20/63 (c) 34/63 (d) 1/8
  28. 28.Write −42/48 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −42/48 (c) 7/8 (d) −7/8
  29. 29.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  30. 30.What is (−7/9) − 1/6? (a) −11/18 (b) −8/15 (c) 17/18 (d) −17/18
  31. 31.What is 2/7 + (−3/8)? (a) 5/56 (b) −5/56 (c) −1/15 (d) 37/56
  32. 32.Write −20/24 in standard form (lowest terms, positive denominator). (a) −20/24 (b) −5/6 (c) −6/5 (d) 5/6
  33. 33.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  34. 34.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) 7/9 (c) −7/9 (d) 9/7
  35. 35.What is the additive inverse of −4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  36. 36.What is 2/3 − (−8/9)? (a) −14/9 (b) 14/9 (c) 5/6 (d) −2/9
  37. 37.What is 3/5 − (−3/8)? (a) 6/13 (b) 9/40 (c) 39/40 (d) −39/40
  38. 38.Is −1/2 positive or negative? (a) Negative (b) Positive
  39. 39.What is 3/7 + (−4/9)? (a) −1/16 (b) 1/63 (c) 55/63 (d) −1/63
  40. 40.What is (−1/7) − 4/5? (a) 23/35 (b) 33/35 (c) −5/12 (d) −33/35

Answer key

  1. −9/8
  2. −1/3
  3. 5/42
  4. 13/63
  5. Negative
  6. −7/8
  7. 1/6
  8. Positive
  9. 4/5
  10. −46/35
  11. −2/7
  12. −1/4
  13. Positive
  14. 3/5
  15. −2/5
  16. −1/2
  17. Negative
  18. −3/4
  19. −9/2
  20. −4/3
  21. −1/2
  22. Negative
  23. −13/42
  24. −8/9
  25. −1/9
  26. 7/9
  27. 20/63
  28. −7/8
  29. 7/6
  30. −17/18
  31. −5/56
  32. −5/6
  33. −1/2
  34. 9/7
  35. 4/5
  36. 14/9
  37. 39/40
  38. Negative
  39. −1/63
  40. −33/35

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