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六年级（美国）

单元 2：课程 7

分数除以分数
数学
六年级（美国）
数学运算
分数除以分数
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分数除法复习

Google课堂
复习分数除法的基本概念并做一些习题.

分数除法

除以一个分数等于乘以该分数的倒数.
举例：
start fraction, 3, divided by, 4, end fraction, start color #e07d10, divided by, end color #e07d10, start fraction, start color #11accd, 2, end color #11accd, divided by, start color #1fab54, 3, end color #1fab54, end fractionequals, start fraction, 3, divided by, 4, end fraction, start color #e07d10, times, end color #e07d10, start fraction, start color #1fab54, 3, end color #1fab54, divided by, start color #11accd, 2, end color #11accd, end fraction
一旦我们转化为了一个乘法问题, 我们把分子相乘并把分母相乘.
例 1： 分数
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, question mark
start fraction, 8, divided by, 3, end fraction 的倒数是 start fraction, 3, divided by, 8, end fraction。
于是:
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, start fraction, 3, divided by, 2, end fraction, times, start fraction, 3, divided by, 8, end fraction
empty space, equals, start fraction, 3, times, 3, divided by, 2, times, 8, end fraction
empty space, equals, start fraction, 9, divided by, 16, end fraction
例 2：带分数
3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction, equals
现在我们把带分数转换成假分数.
empty space, 3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction
equals, start fraction, 7, divided by, 2, end fraction, divided by, start fraction, 5, divided by, 4, end fraction
equals, start fraction, 7, divided by, 2, end fraction, dot, start fraction, 4, divided by, 5, end fraction, space, space, space, space, space, space, space, start text, 乘, 以, 分, 数, 的, 倒, 数, point, end text
equals, start fraction, 7, divided by, start color #11accd, 1, end color #11accd, start cancel, 2, end cancel, end fraction, dot, start fraction, start color #11accd, 2, end color #11accd, start cancel, 4, end cancel, divided by, 5, end fraction, space, space, space, space, space, space, space, start text, 化, 简, point, end text
equals, start fraction, 7, divided by, start color #11accd, 1, end color #11accd, end fraction, dot, start fraction, start color #11accd, 2, end color #11accd, divided by, 5, end fraction
equals, start fraction, 14, divided by, 5, end fraction, start text, space, 或, 者, space, end text, 2, start fraction, 4, divided by, 5, end fraction
想要了解更多关于分数相除的内容吗？ 点击 这个视频.
想要复习关于分数相乘的知识,请点击 这个视频.

练习

问题1
  • 当前
start fraction, 3, divided by, 5, end fraction, divided by, start fraction, 1, divided by, 9, end fraction, equals, question mark
  • 你的答案是
  • 一个整数，例如 6
  • 一个最简真分数,如 3, slash, 5
  • 一个最简假分数,如 7, slash, 4
  • 一个混合带分数，例如 1, space, 3, slash, 4
  • 一个精确的十进位小数，例如0, point, 75
  • pi 的倍数, 例如 12\ \text{pi} 或 2/3\ \text{pi}$

想做更多此类练习? 点击 这个练习.

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