← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 740 · 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 −18/21 in standard form (lowest terms, positive denominator). (a) −18/21 (b) −6/7 (c) 6/7 (d) −7/6
  2. 2.Which is smaller: −5/7 or 3/8? (a) 3/8 (b) −5/7
  3. 3.What is 4/9 − (−2/7)? (a) −46/63 (b) 10/63 (c) 3/8 (d) 46/63
  4. 4.Which is smaller: −1/4 or −7/9? (a) −1/4 (b) −7/9
  5. 5.Write −21/24 in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −8/7 (d) −21/24
  6. 6.What is (−6/7) + 3/8? (a) 27/56 (b) −27/56 (c) −1/5 (d) −69/56
  7. 7.What is (−3/4) − (−7/9)? (a) 1/36 (b) −55/36 (c) 4/13 (d) −1/36
  8. 8.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  9. 9.Which is smaller: −1/9 or −5/7? (a) −5/7 (b) −1/9
  10. 10.Write −25/40 in standard form (lowest terms, positive denominator). (a) −25/40 (b) −8/5 (c) −5/8 (d) 5/8
  11. 11.Which is bigger: −3/7 or −7/8? (a) −3/7 (b) −7/8
  12. 12.Which is bigger: −3/4 or −3/5? (a) −3/5 (b) −3/4
  13. 13.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −5/4 (d) −8/10
  14. 14.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −4/5 (d) −5/4
  15. 15.What is (−2/3) − (−3/7)? (a) 5/21 (b) −23/21 (c) 1/10 (d) −5/21
  16. 16.Which is smaller: −1/3 or 1/4? (a) −1/3 (b) 1/4
  17. 17.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  18. 18.Which is smaller: −1/4 or −4/7? (a) −1/4 (b) −4/7
  19. 19.What is (−4/7) + 4/7? (a) 0 (b) −8/7
  20. 20.Is −7/5 positive or negative? (a) Positive (b) Negative
  21. 21.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/9) + 4/7? (a) −29/63 (b) −43/63 (c) 29/63 (d) 3/16
  23. 23.Write −5/15 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −5/15 (c) 1/3 (d) −3/1
  24. 24.Write −12/54 in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −12/54 (d) −2/9
  25. 25.What is 3/7 + (−1/4)? (a) −5/28 (b) 19/28 (c) 2/11 (d) 5/28
  26. 26.What is 7/9 + (−7/9)? (a) 14/9 (b) 0
  27. 27.Which is bigger: −7/8 or 3/8? (a) 3/8 (b) −7/8
  28. 28.What is 6/7 − (−3/5)? (a) 3/4 (b) −51/35 (c) 9/35 (d) 51/35
  29. 29.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) 2/3 (d) −2/3
  30. 30.What is (−2/3) − 3/5? (a) −5/8 (b) 19/15 (c) −1/15 (d) −19/15
  31. 31.What is (−5/6) − (−4/9)? (a) −23/18 (b) 7/18 (c) −7/18 (d) −1/15
  32. 32.What is (−3/4) − 5/8? (a) −1/8 (b) 11/8 (c) −2/3 (d) −11/8
  33. 33.What is the additive inverse of −3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  34. 34.What is (−5/7) + 1/7? (a) −4/7 (b) −2/7 (c) −6/7 (d) 4/7
  35. 35.What is (−1/2) + 5/8? (a) 1/8 (b) −1/8 (c) 2/5 (d) −9/8
  36. 36.Which is smaller: −4/9 or 5/6? (a) 5/6 (b) −4/9
  37. 37.Which is smaller: −6/7 or 3/4? (a) 3/4 (b) −6/7
  38. 38.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) −4/3 (d) 3/4
  39. 39.Is 7/9 positive or negative? (a) Negative (b) Positive
  40. 40.Write −6/15 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −6/15

Answer key

  1. −6/7
  2. −5/7
  3. 46/63
  4. −7/9
  5. −7/8
  6. −27/56
  7. 1/36
  8. Negative
  9. −5/7
  10. −5/8
  11. −3/7
  12. −3/5
  13. −4/5
  14. −4/5
  15. −5/21
  16. −1/3
  17. 5/4
  18. −4/7
  19. 0
  20. Negative
  21. Negative
  22. 29/63
  23. −1/3
  24. −2/9
  25. 5/28
  26. 0
  27. 3/8
  28. 51/35
  29. −2/3
  30. −19/15
  31. −7/18
  32. −11/8
  33. 3/5
  34. −4/7
  35. 1/8
  36. −4/9
  37. −6/7
  38. −3/4
  39. Positive
  40. −2/5

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