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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 647 · 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) + (−3/8)? (a) 5/4 (b) −1/2 (c) −5/8 (d) −5/4
  2. 2.What is the additive inverse of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  3. 3.What is (−4/9) + 6/7? (a) −26/63 (b) −82/63 (c) 1/8 (d) 26/63
  4. 4.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  5. 5.Write −6/21 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −6/21
  6. 6.What is (−1/2) − (−3/4)? (a) −1/4 (b) 1/4 (c) 1/3 (d) −5/4
  7. 7.What is (−3/4) + 4/7? (a) 1/11 (b) −37/28 (c) 5/28 (d) −5/28
  8. 8.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −4/6
  9. 9.What is (−8/9) − (−6/7)? (a) −1/8 (b) −110/63 (c) 2/63 (d) −2/63
  10. 10.Is 2/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −15/27 (d) 5/9
  12. 12.What is 2/7 + (−4/9)? (a) 10/63 (b) −1/8 (c) −10/63 (d) 46/63
  13. 13.What is (−4/9) − 2/5? (a) 38/45 (b) −3/7 (c) −2/45 (d) −38/45
  14. 14.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  15. 15.What is (−7/8) − (−5/6)? (a) 1/24 (b) −1/24 (c) −41/24 (d) −1/7
  16. 16.What is 3/7 − (−3/7)? (a) 6/7 (b) 3/7 (c) 0 (d) −6/7
  17. 17.Which is bigger: −4/7 or −5/6? (a) −5/6 (b) −4/7
  18. 18.Write −35/45 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −35/45 (c) 7/9 (d) −9/7
  19. 19.What is (−4/9) − (−1/6)? (a) −5/18 (b) −11/18 (c) 5/18 (d) −1/5
  20. 20.What is 1/9 − (−2/3)? (a) −5/9 (b) 1/4 (c) −7/9 (d) 7/9
  21. 21.Which is smaller: −2/3 or −3/5? (a) −3/5 (b) −2/3
  22. 22.Which is bigger: −5/8 or 8/9? (a) 8/9 (b) −5/8
  23. 23.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  24. 24.What is 1/8 − (−6/7)? (a) 55/56 (b) 7/15 (c) −55/56 (d) −41/56
  25. 25.Which is bigger: −8/9 or 3/5? (a) −8/9 (b) 3/5
  26. 26.What is 1/5 + (−8/9)? (a) 31/45 (b) −1/2 (c) −31/45 (d) 49/45
  27. 27.What is 3/4 − (−7/9)? (a) 55/36 (b) −1/36 (c) 10/13 (d) −55/36
  28. 28.What is (−1/2) + (−2/3)? (a) −3/5 (b) 7/6 (c) 1/6 (d) −7/6
  29. 29.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) −4/3 (d) 3/4
  30. 30.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −3/15
  31. 31.Which is smaller: −3/7 or −1/6? (a) −1/6 (b) −3/7
  32. 32.Write −25/35 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −25/35 (d) −7/5
  33. 33.Which is smaller: −3/7 or −2/9? (a) −2/9 (b) −3/7
  34. 34.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −12/15 (d) −4/5
  35. 35.What is (−3/5) − 5/8? (a) 1/40 (b) −8/13 (c) −49/40 (d) 49/40
  36. 36.Which is bigger: −1/5 or −3/7? (a) −1/5 (b) −3/7
  37. 37.What is 5/8 + (−2/7)? (a) 19/56 (b) 1/5 (c) −19/56 (d) 51/56
  38. 38.Which is smaller: −1/2 or −4/5? (a) −1/2 (b) −4/5
  39. 39.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  40. 40.What is (−1/5) − 5/7? (a) −1/2 (b) 32/35 (c) −32/35 (d) 18/35

Answer key

  1. −5/4
  2. −1/6
  3. 26/63
  4. −4/3
  5. −2/7
  6. 1/4
  7. −5/28
  8. −2/3
  9. −2/63
  10. Negative
  11. −5/9
  12. −10/63
  13. −38/45
  14. −1/7
  15. −1/24
  16. 6/7
  17. −4/7
  18. −7/9
  19. −5/18
  20. 7/9
  21. −2/3
  22. 8/9
  23. −9/7
  24. 55/56
  25. 3/5
  26. −31/45
  27. 55/36
  28. −7/6
  29. −3/4
  30. −1/5
  31. −3/7
  32. −5/7
  33. −3/7
  34. −4/5
  35. −49/40
  36. −1/5
  37. 19/56
  38. −4/5
  39. 3/5
  40. −32/35

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