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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 124 · 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 (−3/7) − 2/5? (a) −1/35 (b) −5/12 (c) 29/35 (d) −29/35
  2. 2.What is (−4/5) + 1/9? (a) −41/45 (b) −3/14 (c) −31/45 (d) 31/45
  3. 3.What is (−2/7) − (−1/2)? (a) −1/9 (b) −3/14 (c) −11/14 (d) 3/14
  4. 4.Write −4/20 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −4/20
  5. 5.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/36 (b) −6/1 (c) 1/6 (d) −1/6
  6. 6.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −42/48 (c) −8/7 (d) −7/8
  7. 7.What is (−1/7) + (−8/9)? (a) −65/63 (b) −9/16 (c) 47/63 (d) 65/63
  8. 8.Which is smaller: −5/6 or −5/9? (a) −5/9 (b) −5/6
  9. 9.Which is bigger: −5/6 or 2/5? (a) −5/6 (b) 2/5
  10. 10.What is 3/8 + (−8/9)? (a) −5/17 (b) 91/72 (c) 37/72 (d) −37/72
  11. 11.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  12. 12.What is 7/9 − (−3/5)? (a) 62/45 (b) 5/7 (c) −62/45 (d) 8/45
  13. 13.What is (−4/9) + 2/5? (a) −38/45 (b) −1/7 (c) 2/45 (d) −2/45
  14. 14.What is 5/7 − (−7/8)? (a) −9/56 (b) 89/56 (c) 4/5 (d) −89/56
  15. 15.Write −21/24 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −21/24 (d) −8/7
  16. 16.Which is bigger: −1/4 or −4/9? (a) −4/9 (b) −1/4
  17. 17.Write −6/24 in standard form (lowest terms, positive denominator). (a) −6/24 (b) −4/1 (c) 1/4 (d) −1/4
  18. 18.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) −6/7 (d) 6/7
  19. 19.Which is bigger: −3/7 or −3/4? (a) −3/4 (b) −3/7
  20. 20.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −5/20 (c) −4/1 (d) −1/4
  21. 21.What is (−4/7) − 4/7? (a) 0 (b) −8/7 (c) −4/7 (d) 8/7
  22. 22.Which is smaller: −1/2 or −5/6? (a) −1/2 (b) −5/6
  23. 23.What is 5/9 − (−3/5)? (a) −52/45 (b) 52/45 (c) 4/7 (d) −2/45
  24. 24.What is (−8/9) + 8/9? (a) 0 (b) −16/9
  25. 25.Is 1/2 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−3/8) − (−2/9)? (a) −43/72 (b) −1/17 (c) 11/72 (d) −11/72
  27. 27.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −7/9 (d) −9/7
  28. 28.What is 1/8 + (−5/7)? (a) 47/56 (b) −4/15 (c) −33/56 (d) 33/56
  29. 29.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  30. 30.What is 1/5 − (−1/3)? (a) −8/15 (b) 1/4 (c) 8/15 (d) −2/15
  31. 31.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−3/8) + (−3/4)? (a) −1/2 (b) 3/8 (c) −9/8 (d) 9/8
  33. 33.What is (−3/5) + (−1/6)? (a) 23/30 (b) −4/11 (c) −13/30 (d) −23/30
  34. 34.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  35. 35.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −24/28 (b) 6/7 (c) −6/7 (d) −7/6
  36. 36.Which is smaller: −2/3 or −2/9? (a) −2/3 (b) −2/9
  37. 37.What is (−3/5) − (−7/8)? (a) −59/40 (b) −11/40 (c) 11/40 (d) 4/13
  38. 38.Is 2/5 positive or negative? (a) Positive (b) Negative
  39. 39.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −5/1 (d) −1/5
  40. 40.Which is bigger: −4/7 or −1/8? (a) −1/8 (b) −4/7

Answer key

  1. −29/35
  2. −31/45
  3. 3/14
  4. −1/5
  5. −1/6
  6. −7/8
  7. −65/63
  8. −5/6
  9. 2/5
  10. −37/72
  11. Negative
  12. 62/45
  13. −2/45
  14. 89/56
  15. −7/8
  16. −1/4
  17. −1/4
  18. −6/7
  19. −3/7
  20. −1/4
  21. −8/7
  22. −5/6
  23. 52/45
  24. 0
  25. Positive
  26. −11/72
  27. −7/9
  28. −33/56
  29. −6
  30. 8/15
  31. Negative
  32. −9/8
  33. −23/30
  34. −3
  35. −6/7
  36. −2/3
  37. 11/40
  38. Positive
  39. −1/5
  40. −1/8

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