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受欢迎的代数 >

化简 2035/1728+1/125+1/216+1/343+1/512

解答

化简

\frac{2035}{1728} + \frac{1}{125} + \frac{1}{216} + \frac{1}{343} + \frac{1}{512}

解答

\frac{78708473}{65856000}

+1

十进制

1.19516 \dots

求解步骤

\frac{2035}{1728} + \frac{1}{125} + \frac{1}{216} + \frac{1}{343} + \frac{1}{512}

1728, 125, 216, 343, 512

的最小公倍数:

592704000

根据最小公倍数调整分式

= \frac{698005000}{592704000} + \frac{4741632}{592704000} + \frac{2744000}{592704000} + \frac{1728000}{592704000} + \frac{1157625}{592704000}

使用分式法则:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{698005000 + 4741632 + 2744000 + 1728000 + 1157625}{592704000}

698005000 + 4741632 + 2744000 + 1728000 + 1157625 = 708376257

= \frac{708376257}{592704000}

消掉

\frac{708376257}{592704000} : \frac{78708473}{65856000}

= \frac{78708473}{65856000}

流行的例子

因式分解 7m+14n-28

f a c t or 7 m + 14 n - 28

化简 10sqrt(3)-sqrt(12)

s im pl i f y 103 - 12

\frac{2 - 3 x}{4} > 5

10 - 7 x \geq - 60

\frac{10}{3} = 10 x - 5 x^{2}