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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 992 · 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 (−1/8) + (−2/3)? (a) 19/24 (b) −19/24 (c) 13/24 (d) −3/11
  2. 2.Write −3/27 in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  3. 3.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  4. 4.Which is bigger: −3/7 or 2/9? (a) −3/7 (b) 2/9
  5. 5.Is 2/5 positive or negative? (a) Negative (b) Positive
  6. 6.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.What is 1/8 + (−2/7)? (a) 9/56 (b) 23/56 (c) −1/15 (d) −9/56
  8. 8.Which is bigger: −3/5 or 1/8? (a) 1/8 (b) −3/5
  9. 9.What is 1/2 − (−2/7)? (a) −11/14 (b) 11/14 (c) 1/3 (d) 3/14
  10. 10.Which is bigger: −7/9 or 5/9? (a) 5/9 (b) −7/9
  11. 11.Which is bigger: −7/8 or −6/7? (a) −7/8 (b) −6/7
  12. 12.What is (−2/7) − 4/9? (a) −46/63 (b) 46/63 (c) 10/63 (d) −3/8
  13. 13.Which is smaller: −1/9 or −1/2? (a) −1/9 (b) −1/2
  14. 14.Which is smaller: −4/7 or −5/8? (a) −5/8 (b) −4/7
  15. 15.Which is bigger: −5/7 or 1/3? (a) −5/7 (b) 1/3
  16. 16.What is (−5/8) + 3/4? (a) 1/8 (b) −11/8 (c) −1/6 (d) −1/8
  17. 17.What is (−4/5) − (−5/6)? (a) −1/30 (b) 1/11 (c) 1/30 (d) −49/30
  18. 18.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −5/45 (b) −9/1 (c) −1/9 (d) 1/9
  19. 19.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) −7/8 (d) 7/8
  20. 20.Write −28/36 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −28/36 (d) −7/9
  21. 21.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  23. 23.What is (−4/7) + 1/5? (a) 13/35 (b) −27/35 (c) −1/4 (d) −13/35
  24. 24.Which is bigger: −1/4 or 1/5? (a) 1/5 (b) −1/4
  25. 25.What is (−1/7) − (−2/3)? (a) −17/21 (b) 11/21 (c) 1/10 (d) −11/21
  26. 26.What is (−4/9) − (−1/6)? (a) −11/18 (b) −1/5 (c) −5/18 (d) 5/18
  27. 27.What is (−1/8) − (−4/5)? (a) −37/40 (b) 27/40 (c) −27/40 (d) 3/13
  28. 28.What is (−1/3) + 5/9? (a) 2/9 (b) −8/9 (c) −2/9 (d) 1/3
  29. 29.What is 7/8 − (−4/5)? (a) −67/40 (b) 3/40 (c) 67/40 (d) 11/13
  30. 30.What is (−1/2) + 1/2? (a) −1 (b) 0
  31. 31.What is (−5/8) − 7/8? (a) −3/2 (b) 1/4 (c) −3/4 (d) 3/2
  32. 32.Which is bigger: −7/9 or −2/5? (a) −7/9 (b) −2/5
  33. 33.What is (−2/9) + 6/7? (a) −68/63 (b) −40/63 (c) 40/63 (d) 1/4
  34. 34.What is (−7/8) − 7/9? (a) −14/17 (b) 119/72 (c) −7/72 (d) −119/72
  35. 35.Which is smaller: −2/3 or 7/9? (a) −2/3 (b) 7/9
  36. 36.Is −8/9 positive or negative? (a) Positive (b) Negative
  37. 37.Write −15/40 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −15/40 (c) 3/8 (d) −3/8
  38. 38.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −10/16 (d) 5/8
  39. 39.Which is smaller: −5/7 or 3/4? (a) 3/4 (b) −5/7
  40. 40.What is (−7/9) − (−1/5)? (a) −26/45 (b) 26/45 (c) −44/45 (d) −3/7

Answer key

  1. −19/24
  2. −1/9
  3. −5/2
  4. 2/9
  5. Positive
  6. Negative
  7. −9/56
  8. 1/8
  9. 11/14
  10. 5/9
  11. −6/7
  12. −46/63
  13. −1/2
  14. −5/8
  15. 1/3
  16. 1/8
  17. 1/30
  18. −1/9
  19. −7/8
  20. −7/9
  21. Negative
  22. 9/8
  23. −13/35
  24. 1/5
  25. 11/21
  26. −5/18
  27. 27/40
  28. 2/9
  29. 67/40
  30. 0
  31. −3/2
  32. −2/5
  33. 40/63
  34. −119/72
  35. −2/3
  36. Negative
  37. −3/8
  38. −5/8
  39. −5/7
  40. −26/45

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