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兩年制學院代數預備課程/附錄(步驟)/分數乘法
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來自華夏公益教科書,開放的書籍,開放的世界
<
兩年制學院代數預備課程
|
附錄(步驟)
此頁面可能需要
稽核
質量。
將分子相乘得到結果的分子。將分母相乘得到結果的分母。然後
簡化
結果。例如,
2
21
×
35
22
=
70
462
{\displaystyle {\frac {2}{21}}\times {\frac {35}{22}}={\frac {70}{462}}}
.
然後我們可以簡化
70
462
=
70
÷
2
462
÷
2
=
35
231
=
35
÷
7
231
÷
7
=
5
33
{\displaystyle {\frac {70}{462}}={\frac {70{\color {Red}\div 2}}{462{\color {Red}\div 2}}}={\frac {35}{231}}={\frac {35{\color {Red}\div 7}}{231{\color {Red}\div 7}}}={\frac {5}{33}}}
.
另一種更簡單的乘法方法是先找到分子和分母的質因數,然後簡化,最後再相乘。
2
21
×
35
22
=
2
3
⋅
7
×
5
⋅
7
2
⋅
11
=
⧸
2
3
⋅
⧸
7
×
5
⋅
⧸
7
⧸
2
⋅
11
=
5
33
{\displaystyle {\frac {2}{21}}\times {\frac {35}{22}}={\frac {2}{3\cdot 7}}\times {\frac {5\cdot 7}{2\cdot 11}}={\frac {\color {Red}\not {2}}{3\cdot {\color {Blue}\not {7}}}}\times {\frac {5\cdot {\color {Blue}\not {7}}}{{\color {Red}\not {2}}\cdot 11}}={\frac {5}{33}}}
.
類別
:
書籍:兩年制學院代數預備課程
華夏公益教科書