百度作业网which of the following fractions has a decimal equivalent th
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which of the following fractions has a decimal equivalent that is a terminating decimal?
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A、10/189
B、15/196
C、16/225
D、25/144
E、39/128
不能使用计算机（器）
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A、10/189
B、15/196
C、16/225
D、25/144
E、39/128
不能使用计算机（器）
E分母是2的幂就是有限小数了.
189=3^3 * 7 ; 196=7^2 * 2^2 ; 225=5^2 * 3^2 ;
144=3^2 * 2^4 ; 128=2^7
分式化简后分母中只能含有2或5才能terminate
除了E以外的其它分母的质因子都含有3或7,不灵的.你试几个简单的分数就知道了
希望可以帮到你o(∩_∩)o
189=3^3 * 7 ; 196=7^2 * 2^2 ; 225=5^2 * 3^2 ;
144=3^2 * 2^4 ; 128=2^7
分式化简后分母中只能含有2或5才能terminate
除了E以外的其它分母的质因子都含有3或7,不灵的.你试几个简单的分数就知道了
希望可以帮到你o(∩_∩)o
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