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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 827 · 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 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −15/18
  2. 2.What is (−4/9) − (−4/5)? (a) 0 (b) 16/45 (c) −56/45 (d) −16/45
  3. 3.Which is bigger: −2/7 or −1/5? (a) −2/7 (b) −1/5
  4. 4.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −25/35 (d) −5/7
  5. 5.Is 3/5 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−3/5) − 4/7? (a) −7/12 (b) −41/35 (c) 41/35 (d) −1/35
  7. 7.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  8. 8.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −5/45
  9. 9.What is (−1/5) − 1/5? (a) −1/5 (b) 0 (c) −2/5 (d) 2/5
  10. 10.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −3/2 (d) −2/3
  11. 11.Which is bigger: −1/7 or 1/4? (a) 1/4 (b) −1/7
  12. 12.What is (−3/5) + (−3/8)? (a) 39/40 (b) −6/13 (c) −9/40 (d) −39/40
  13. 13.What is the additive inverse of −5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  14. 14.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.What is 6/7 − (−1/7)? (a) 1/2 (b) 1 (c) −1 (d) 5/7
  16. 16.What is (−2/3) − 5/6? (a) 1/6 (b) −7/9 (c) 3/2 (d) −3/2
  17. 17.Which is smaller: −1/7 or −2/5? (a) −2/5 (b) −1/7
  18. 18.What is (−3/8) − 3/5? (a) −6/13 (b) 9/40 (c) −39/40 (d) 39/40
  19. 19.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 2/7 (c) −7/2 (d) 7/2
  20. 20.Which is smaller: −4/5 or −3/7? (a) −4/5 (b) −3/7
  21. 21.What is (−2/5) + (−3/8)? (a) −5/13 (b) −1/40 (c) −31/40 (d) 31/40
  22. 22.What is (−1/3) + 2/5? (a) −11/15 (b) 1/8 (c) 1/15 (d) −1/15
  23. 23.Which is smaller: −3/7 or −2/3? (a) −2/3 (b) −3/7
  24. 24.What is 7/8 + (−1/4)? (a) −5/8 (b) 9/8 (c) 5/8 (d) 1/2
  25. 25.What is (−3/5) − (−1/8)? (a) −29/40 (b) −2/13 (c) 19/40 (d) −19/40
  26. 26.What is 4/7 − (−7/9)? (a) 11/16 (b) −85/63 (c) 85/63 (d) −13/63
  27. 27.What is (−4/5) − (−3/8)? (a) 17/40 (b) −17/40 (c) −47/40 (d) −1/13
  28. 28.Which is bigger: −3/4 or −1/5? (a) −1/5 (b) −3/4
  29. 29.What is 4/7 + (−3/7)? (a) 1/7 (b) 1 (c) −1/7 (d) 1/14
  30. 30.What is (−1/3) − (−8/9)? (a) −5/9 (b) −11/9 (c) 5/9 (d) 7/12
  31. 31.Write −4/12 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −4/12 (d) −1/3
  32. 32.What is (−3/7) + (−4/9)? (a) −55/63 (b) 1/63 (c) 55/63 (d) −7/16
  33. 33.What is 1/4 + (−5/7)? (a) −4/11 (b) 13/28 (c) 27/28 (d) −13/28
  34. 34.What is (−1/2) − (−3/7)? (a) 1/14 (b) 2/9 (c) −13/14 (d) −1/14
  35. 35.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  36. 36.What is the additive inverse of 1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  37. 37.Is 8/(−6) positive or negative? (a) Positive (b) Negative
  38. 38.Is −2/9 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−2/7) − (−2/9)? (a) 0 (b) −32/63 (c) 4/63 (d) −4/63
  40. 40.What is (−5/7) − (−4/7)? (a) −1/14 (b) −1/7 (c) −9/7 (d) 1/7

Answer key

  1. −5/6
  2. 16/45
  3. −1/5
  4. −5/7
  5. Positive
  6. −41/35
  7. Negative
  8. −1/9
  9. −2/5
  10. −2/3
  11. 1/4
  12. −39/40
  13. 5/7
  14. Positive
  15. 1
  16. −3/2
  17. −2/5
  18. −39/40
  19. 7/2
  20. −4/5
  21. −31/40
  22. 1/15
  23. −2/3
  24. 5/8
  25. −19/40
  26. 85/63
  27. −17/40
  28. −1/5
  29. 1/7
  30. 5/9
  31. −1/3
  32. −55/63
  33. −13/28
  34. −1/14
  35. −4
  36. −1/4
  37. Negative
  38. Negative
  39. −4/63
  40. −1/7

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