第23页

信息发布者:
解:
$\begin{aligned}\frac{4}{5}+x&=\frac{7}{6}\\x&=\frac{7}{6}-\frac{4}{5}\\x&=\frac{35}{30}-\frac{24}{30}\\x&=\frac{11}{30}\end{aligned}$
解:
$\begin{aligned}x-\frac{3}{4}+\frac{1}{4}&=\frac{11}{12}\\x-\frac{1}{2}&=\frac{11}{12}\\x&=\frac{11}{12}+\frac{6}{12}\\x&=\frac{17}{12}\end{aligned}$
解:
​$ \begin {aligned}\frac {2}{7}+x-\frac {1}{14}&=\frac {1}{2}\\\frac {3}{14}+x&=\frac {7}{14}\\x &=\frac {7}{14}-\frac {3}{14}\\x &=\frac {2}{7}\end {aligned}$​
解:
$\begin{aligned}5x-\frac{5}{8}&=\frac{3}{8}\\5x&=\frac{3}{8}+\frac{5}{8}\\5x&=1\\x&=\frac{1}{5}\end{aligned}$
​$ \begin {aligned}&=\frac {5}{9}+(\frac {3}{7}+\frac {4}{7})\\&=\frac {5}{9}+1\\&=1\frac {5}{9}\end {aligned}$​
​$ \begin {aligned}&=\frac {3}{2}-(\frac {1}{8}+\frac {3}{8})\\&=\frac {3}{2}-\frac {1}{2}\\&=1\end {aligned}$​
​$ \begin {aligned}&=\frac {6}{9}-\frac {1}{9}+\frac {5}{9}\\&=\frac {10}{9}\end {aligned}$​
​$ \begin {aligned}&=\frac {8}{10}-\frac {5}{10}-\frac {1}{10}\\&=\frac {2}{10}\\&=\frac {1}{5}\end {aligned}$​
​$ \begin {aligned}&=\frac {9}{7}-\frac {2}{7}-\frac {1}{3}\\&=1-\frac {1}{3}\\&=\frac {2}{3}\end {aligned}$​
​$ \begin {aligned}&=(\frac {8}{5}+\frac {2}{5})-(\frac {7}{8}+\frac {1}{8})\\&=2-1\\&=1\end {aligned}$​
​$ \begin {aligned}=&\frac {(1+2024)×2024÷2}{2025}\\=&\frac {2025×1012}{2025}\\=&1012\end {aligned}$​


$1$
$3$
$6$
$8$
答:不带单位的分数相加减时,默认单位“1”相同,而题图中两个分数的单位“1”不相同,左图是以5个球为单位“1”,右图是以2个球为单位“1”,其次分数相加减后单位“1”不会发生变化,题图中却将两个单位“1”合成了新的单位“1”,不符合异分母分数加减法的算理。
​$ \frac {7}{6}-\frac {5}{9}=\frac {11}{18}($​千米​$)$​
答:小宁从学校去商场比从学校去银行远​$\frac {11}{18}$​千米。