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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 112 · 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.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −6/27 (d) 2/9
  2. 2.What is 5/8 + (−6/7)? (a) 13/56 (b) 83/56 (c) −1/15 (d) −13/56
  3. 3.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −3/9
  4. 4.What is the additive inverse of −7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  5. 5.What is 2/7 − (−4/9)? (a) 3/8 (b) −10/63 (c) 46/63 (d) −46/63
  6. 6.What is (−3/5) + (−1/9)? (a) −32/45 (b) 32/45 (c) −2/7 (d) −22/45
  7. 7.What is (−4/7) + (−5/7)? (a) 1/7 (b) 9/7 (c) −9/7 (d) −9/14
  8. 8.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  9. 9.Which is smaller: −5/9 or −1/8? (a) −1/8 (b) −5/9
  10. 10.Write −4/8 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −4/8
  11. 11.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −20/45 (d) −4/9
  12. 12.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  13. 13.What is (−3/8) + (−3/5)? (a) −6/13 (b) 39/40 (c) −39/40 (d) 9/40
  14. 14.What is 1/3 + (−4/5)? (a) −7/15 (b) 7/15 (c) −3/8 (d) 17/15
  15. 15.What is 1/5 − (−3/8)? (a) 4/13 (b) 23/40 (c) −7/40 (d) −23/40
  16. 16.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −5/20 (b) −1/4 (c) 1/4 (d) −4/1
  17. 17.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) −4/1 (c) −1/4 (d) 1/4
  18. 18.What is (−3/7) − 1/5? (a) 22/35 (b) −22/35 (c) −1/3 (d) −8/35
  19. 19.What is (−6/7) − (−2/9)? (a) 40/63 (b) −40/63 (c) −68/63 (d) −1/4
  20. 20.Is 1/9 positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −6/7 or 7/8? (a) 7/8 (b) −6/7
  22. 22.What is (−2/5) + 7/9? (a) 5/14 (b) −53/45 (c) −17/45 (d) 17/45
  23. 23.What is the additive inverse of 3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  24. 24.Is −3/3 positive or negative? (a) Positive (b) Negative
  25. 25.What is 5/7 + (−1/9)? (a) 52/63 (b) −38/63 (c) 1/4 (d) 38/63
  26. 26.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) −9/5 (c) −5/9 (d) 5/9
  27. 27.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −12/21 (c) −4/7 (d) −7/4
  28. 28.Is 7/4 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−1/2) − 3/5? (a) −4/7 (b) 11/10 (c) 1/10 (d) −11/10
  30. 30.What is (−5/9) + (−1/7)? (a) 44/63 (b) −3/8 (c) −26/63 (d) −44/63
  31. 31.Is 8/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.Is 2/4 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/9) + 5/6? (a) −25/18 (b) 5/18 (c) −5/18 (d) 0
  34. 34.Which is smaller: −3/5 or 5/9? (a) 5/9 (b) −3/5
  35. 35.What is (−4/9) + (−2/5)? (a) −2/45 (b) −38/45 (c) 38/45 (d) −3/7
  36. 36.What is the additive inverse of −8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  37. 37.Which is smaller: −4/5 or −1/8? (a) −1/8 (b) −4/5
  38. 38.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  39. 39.What is (−1/7) − (−8/9)? (a) −47/63 (b) 7/16 (c) −65/63 (d) 47/63
  40. 40.Which is bigger: −6/7 or −7/8? (a) −6/7 (b) −7/8

Answer key

  1. −2/9
  2. −13/56
  3. −1/3
  4. 7/8
  5. 46/63
  6. −32/45
  7. −9/7
  8. −7
  9. −5/9
  10. −1/2
  11. −4/9
  12. Positive
  13. −39/40
  14. −7/15
  15. 23/40
  16. −1/4
  17. −1/4
  18. −22/35
  19. −40/63
  20. Positive
  21. 7/8
  22. 17/45
  23. −3/4
  24. Negative
  25. 38/63
  26. −5/9
  27. −4/7
  28. Positive
  29. −11/10
  30. −44/63
  31. Negative
  32. Positive
  33. 5/18
  34. −3/5
  35. −38/45
  36. 8/9
  37. −4/5
  38. 7/2
  39. 47/63
  40. −6/7

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