← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 811 · 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/(−15) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −6/15 (d) −2/5
  2. 2.What is 1/7 + (−1/6)? (a) 1/42 (b) 13/42 (c) 0 (d) −1/42
  3. 3.Which is smaller: −1/8 or 1/6? (a) 1/6 (b) −1/8
  4. 4.Which is bigger: −5/8 or 3/8? (a) −5/8 (b) 3/8
  5. 5.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −4/28 (b) −7/1 (c) −1/7 (d) 1/7
  6. 6.What is 2/3 − (−1/8)? (a) 3/11 (b) 13/24 (c) 19/24 (d) −19/24
  7. 7.What is 2/7 − (−1/9)? (a) 25/63 (b) −25/63 (c) 3/16 (d) 11/63
  8. 8.What is 2/7 − (−2/5)? (a) 24/35 (b) −24/35 (c) −4/35 (d) 1/3
  9. 9.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  10. 10.What is (−7/8) + 4/5? (a) −67/40 (b) −3/40 (c) 3/40 (d) −3/13
  11. 11.Which is smaller: −1/4 or 3/5? (a) 3/5 (b) −1/4
  12. 12.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  13. 13.What is 4/9 − (−6/7)? (a) −82/63 (b) −26/63 (c) 5/8 (d) 82/63
  14. 14.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −1/5 (d) −5/1
  15. 15.What is (−4/9) + 4/9? (a) 0 (b) −8/9
  16. 16.What is (−2/5) + 1/2? (a) 1/10 (b) −9/10 (c) −1/10 (d) −1/7
  17. 17.Write −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −2/12
  18. 18.Which is smaller: −4/7 or −1/4? (a) −4/7 (b) −1/4
  19. 19.What is 1/5 + (−1/5)? (a) 2/5 (b) 0
  20. 20.Which is bigger: −3/4 or −1/6? (a) −3/4 (b) −1/6
  21. 21.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −35/40
  22. 22.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  23. 23.Is 9/4 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−2/3) − 5/7? (a) 1/21 (b) −7/10 (c) 29/21 (d) −29/21
  25. 25.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/16 (d) −4/1
  26. 26.What is (−1/2) − 1/4? (a) 3/4 (b) −1/3 (c) −3/4 (d) −1/4
  27. 27.What is (−2/7) + 8/9? (a) 3/8 (b) −74/63 (c) −38/63 (d) 38/63
  28. 28.What is (−5/6) + 2/3? (a) −1/6 (b) −3/2 (c) −1/3 (d) 1/6
  29. 29.What is (−2/7) + (−5/7)? (a) 3/7 (b) −1/2 (c) −1 (d) 1
  30. 30.What is (−1/4) + 1/8? (a) −3/8 (b) 1/8 (c) −1/8 (d) 0
  31. 31.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  32. 32.Which is smaller: −4/9 or −1/5? (a) −4/9 (b) −1/5
  33. 33.What is the additive inverse of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  34. 34.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  35. 35.What is (−1/7) + 4/7? (a) −5/7 (b) 3/7 (c) 3/14 (d) −3/7
  36. 36.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−3/7) + (−8/9)? (a) −83/63 (b) 29/63 (c) 83/63 (d) −11/16
  38. 38.Is −6/8 positive or negative? (a) Positive (b) Negative
  39. 39.Write −6/36 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −6/36
  40. 40.What is the additive inverse of 5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5

Answer key

  1. −2/5
  2. −1/42
  3. −1/8
  4. 3/8
  5. −1/7
  6. 19/24
  7. 25/63
  8. 24/35
  9. −2/5
  10. −3/40
  11. −1/4
  12. 3
  13. 82/63
  14. −1/5
  15. 0
  16. 1/10
  17. −1/6
  18. −4/7
  19. 0
  20. −1/6
  21. −7/8
  22. 4
  23. Positive
  24. −29/21
  25. −1/4
  26. −3/4
  27. 38/63
  28. −1/6
  29. −1
  30. −1/8
  31. −9/8
  32. −4/9
  33. −1/5
  34. 5/7
  35. 3/7
  36. Negative
  37. −83/63
  38. Negative
  39. −1/6
  40. −5/6

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets