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受欢迎的代数 >

展开 5a+5/4-3-7 a/6

解答

展开

5 a + \frac{5}{4} - 3 - 7 \frac{a}{6}

解答

\frac{23 a}{6} - \frac{7}{4}

求解步骤

5 a + \frac{5}{4} - 3 - 7 \cdot \frac{a}{6}

乘

7 \cdot \frac{a}{6} : \frac{7 a}{6}

= 5 a + \frac{5}{4} - 3 - \frac{7 a}{6}

将项转换为分式:

5 a = \frac{5 a}{1}, 3 = \frac{3}{1}

= \frac{5 a}{1} + \frac{5}{4} - \frac{3}{1} - \frac{a \cdot 7}{6}

1, 4, 1, 6

的最小公倍数:

12

根据最小公倍数调整分式

= \frac{60 a}{12} + \frac{15}{12} - \frac{36}{12} - \frac{14 a}{12}

因为分母相等，所以合并分式:

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

= \frac{60 a + 15 - 36 - 14 a}{12}

60 a + 15 - 36 - 14 a = 46 a - 21

= \frac{46 a - 21}{12}

使用分式法则:

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

\frac{46 a - 21}{12} = \frac{46 a}{12} - \frac{21}{12}

= \frac{46 a}{12} - \frac{21}{12}

消掉

\frac{46 a}{12} : \frac{23 a}{6}

= \frac{23 a}{6} - \frac{21}{12}

消掉

\frac{21}{12} : \frac{7}{4}

= \frac{23 a}{6} - \frac{7}{4}

流行的例子

展开 (3(x+5))/(x+4)

e x p an d \frac{3 ( x + 5 )}{x + 4}

展开 (25)/(s(s+5))

e x p an d \frac{25}{s ( s + 5 )}

展开 (-(X-10)^3)/(375000)

e x p an d \frac{- ( X - 10 ) ^{3}}{375000}

展开 solve(-1575000+x/(1+(0.2139600000000…)^2)=0,x)

e x p an d so l v e (- 1575000 + \frac{x}{1 + ( 0.2139600000000 \dots ) ^{2}} = 0, x)

展开 (5(sqrt(3)-1))/2

e x p an d \frac{5 ( 3 - 1 )}{2}