七年级数学：分数和带分数
多项选择题及答案

本页提供七年级数学关于分数和带分数的多项选择题，旨在测试技能和概念理解。 题目难度从基础到挑战性都有，非常适合练习和复习。 每个问题都附有答案和详细的分数解答与解析，以帮助学生、家长和老师掌握该主题。

注意：请勿使用计算器解答以下问题。

问题

  1. 求一个分母小于8的分数 \(F\)，使得： \[ \dfrac{2}{8} + F = 1 \]
    1. \(\dfrac{3}{4}\)
    2. \(\dfrac{2}{8}\)
    3. \(\dfrac{1}{8}\)
    4. \(\dfrac{8}{8}\)
  2. 求两个分母为6的分数 \(F_1\) 和 \(F_2\)，使得： \[ F_1 + F_2 = 1 \quad\text{且}\quad F_1 - F_2 = \dfrac{2}{3} \]
    1. \(F_1 = \dfrac{1}{6},\ F_2 = \dfrac{1}{6}\)
    2. \(F_1 = \dfrac{6}{6},\ F_2 = \dfrac{2}{6}\)
    3. \(F_1 = \dfrac{5}{6},\ F_2 = \dfrac{5}{6}\)
    4. \(F_1 = \dfrac{5}{6},\ F_2 = \dfrac{1}{6}\)
  3. 哪个分数等于 \(16\%\)？
    1. \(\dfrac{16}{25}\)
    2. \(\dfrac{4}{25}\)
    3. \(\dfrac{16}{25}\)
    4. \(\dfrac{16}{16}\)
  4. 哪个分数等于 \(\dfrac{300}{1000}\)？
    1. \(\dfrac{3}{100}\)
    2. \(\dfrac{3}{1000}\)
    3. \(\dfrac{3}{10}\)
    4. \(\dfrac{300}{10}\)
  5. \[ \dfrac{1}{2} + \dfrac{1}{5} + \dfrac{1}{6} = ? \]
    1. \(\dfrac{3}{2}\)
    2. \(\dfrac{13}{15}\)
    3. \(\dfrac{15}{13}\)
    4. \(\dfrac{13}{13}\)
  6. \[ 3\dfrac{3}{5} + 5\dfrac{1}{2} = ? \]
    1. \(9\dfrac{1}{10}\)
    2. \(9\)
    3. \(10\dfrac{1}{10}\)
    4. \(8\dfrac{4}{7}\)
  7. \[ \dfrac{1}{7} \times 2\dfrac{2}{5} = ? \]
    1. \(\dfrac{4}{35}\)
    2. \(\dfrac{2}{35}\)
    3. \(\dfrac{12}{35}\)
    4. \(\dfrac{1}{35}\)
  8. \[ \dfrac{1}{12} \times 0.2 = ? \]
    1. \(\dfrac{1}{6}\)
    2. \(\dfrac{1}{120}\)
    3. \(\dfrac{1}{600}\)
    4. \(\dfrac{1}{60}\)
  9. \[ \dfrac{2}{5} \div 6 = ? \]
    1. \(\dfrac{12}{5}\)
    2. \(\dfrac{1}{15}\)
    3. \(\dfrac{5}{12}\)
    4. \(\dfrac{12}{30}\)
  10. \[ \dfrac{9}{7} + 2 = ? \]
    1. \(3\dfrac{2}{7}\)
    2. \(\dfrac{11}{7}\)
    3. \(\dfrac{9}{9}\)
    4. \(3\dfrac{9}{7}\)
  11. \[ 2\dfrac{1}{3} + \dfrac{4}{2} = ? \]
    1. \(3\)
    2. \(\dfrac{7}{5}\)
    3. \(4\dfrac{1}{3}\)
    4. \(2\dfrac{5}{5}\)
  12. \[ 3\dfrac{1}{5} \div 5 = ? \]
    1. \(3\dfrac{1}{25}\)
    2. \(4\)
    3. \(\dfrac{16}{25}\)
    4. \(15\dfrac{1}{5}\)
  13. \[ \dfrac{1}{2} + 4\dfrac{1}{3} - 3\dfrac{2}{5} = ? \]
    1. \(1\dfrac{13}{30}\)
    2. \(1\)
    3. \(2\dfrac{13}{30}\)
    4. \(2\)
  14. \[ \dfrac{5}{2} \div \dfrac{7}{2} - \dfrac{1}{5} = ? \]
    1. \(\dfrac{18}{35}\)
    2. \(2\dfrac{11}{20}\)
    3. \(\dfrac{35}{18}\)
    4. \(8\dfrac{11}{20}\)
  15. \[ \left( 0.2 + \dfrac{1}{5} \right) \times \dfrac{2}{7} = ? \]
    1. \(\dfrac{2}{35}\)
    2. \(\dfrac{3}{35}\)
    3. \(\dfrac{5}{35}\)
    4. \(\dfrac{4}{35}\)
  16. \[ \left( 3\dfrac{1}{2} + \dfrac{3}{5} \right) \times \dfrac{1}{7} = ? \]
    1. \(3\dfrac{1}{4}\)
    2. \(\dfrac{41}{70}\)
    3. \(34\)
    4. \(\dfrac{1}{12}\)
  17. \[ \dfrac{40}{4000} = ? \]
    1. \(1\%\)
    2. \(40\%\)
    3. \(4\%\)
    4. \(10\%\)
  18. \[ \left( \dfrac{1}{2} + \dfrac{2}{3} \right) \div 0.2 = ? \]
    1. \(\dfrac{7}{30}\)
    2. \(3\)
    3. \(5\dfrac{5}{6}\)
    4. \(6\dfrac{5}{6}\)
  19. 从小到大排列： \[ 3\dfrac{4}{7},\quad 3\dfrac{3}{5},\quad 3\dfrac{1}{2},\quad 3\dfrac{11}{20} \]
    1. \(3\dfrac{1}{2},\ 3\dfrac{11}{20},\ 3\dfrac{4}{7},\ 3\dfrac{3}{5}\)
    2. \(3\dfrac{1}{2},\ 3\dfrac{3}{5},\ 3\dfrac{11}{20},\ 3\dfrac{4}{7}\)
    3. \(3\dfrac{1}{2},\ 3\dfrac{3}{5},\ 3\dfrac{4}{7},\ 3\dfrac{11}{20}\)
    4. \(3\dfrac{3}{5},\ 3\dfrac{1}{2},\ 3\dfrac{11}{20},\ 3\dfrac{4}{7}\)
  20. 从小到大排列： \[ 2\dfrac{7}{8},\quad 2.66,\quad 262\%,\quad \dfrac{25}{8} \]
    1. \(2.66,\ 2\dfrac{7}{8},\ \dfrac{25}{8},\ 262\%\)
    2. \(\dfrac{25}{8},\ 2\dfrac{7}{8},\ 2.66,\ 262\%\)
    3. \(\dfrac{25}{8},\ 2.66,\ 2\dfrac{7}{8},\ 262\%\)
    4. \(262\%,\ 2.66,\ 2\dfrac{7}{8},\ \dfrac{25}{8}\)

以上问题的答案

  1. A
  2. D
  3. B
  4. C
  5. B
  6. A
  7. C
  8. D
  9. B
  10. A
  11. C
  12. C
  13. A
  14. A
  15. D
  16. B
  17. A
  18. C
  19. A
  20. D

链接和参考