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【问题】一个最简分数,如果分子加1,分数值等于3/5,如果分母加1,则分数值等于1/2,原分数是多少?解法一:这道题目可以用方程解。首先要找出等量关系,然后列出方程。设第一次变化后分子为3x,分母为5x。(3x-1)/(5x+1)=1/2(3x-1)×2=5x+16x-2=5x+1x=33×3-1就是原分子8,5×3就是原分母15,那么原分数就是8/(15)。
[Problem] A simplest fraction, if the numerator plus 1, the fractional value is equal to 3/5, if the denominator plus 1, the fractional value is equal to 1/2, what is the original fraction? Solution One: This problem can be solved by the equation. First find the equivalent relationship, and then list the equation. Let the first change make the numerator 3x and the denominator 5x. (3x-1) / (5x + 1) = 1/2 (3x-1) × 2 = 5x + 16x-2 = 5x + 1x = 33 × 3-1 is the original numerator 8, 5 × 3 is the original denominator 15 , Then the original fraction is 8 / (15).