《2025年孟建平小学滚动测试六年级数学上册人教版》

1. 把$\frac {8}{3}$、$\frac {16}{15}$、$\frac {2}{5}$、$\frac {5}{6}$、$\frac {15}{16}$、$\frac {9}{8}$这六个分数填在下面的括号中,使算式成立。(4分)
$\frac {( )}{( )}×\frac {( )}{( )}×\frac {( )}{( )}= 1$
$\frac {( )}{( )}×\frac {( )}{( )}×\frac {( )}{( )}= 1$

答案： $\frac{8}{3}$ $\frac{2}{5}$ $\frac{15}{16}$ $\frac{16}{15}$ $\frac{5}{6}$ $\frac{9}{8}$

2. 巧算。(6分)
(1)$\frac {1}{6}+\frac {1}{24}+\frac {1}{60}+\frac {1}{120}+\frac {1}{210}+\frac {1}{84}$
(2)$\frac {5}{6}+\frac {5}{6}+... +\frac {5}{6}$
2023个

答案：
(1)原式=$\frac{1}{6}$+$\frac{1}{6}$×$\frac{1}{4}$+$\frac{1}{6}$×$\frac{1}{10}$+$\frac{1}{6}$×$\frac{1}{20}$+$\frac{1}{42}$×$\frac{1}{5}$+$\frac{1}{42}$×$\frac{1}{2}$=$\frac{1}{6}$×(1+$\frac{1}{4}$+$\frac{1}{10}$+$\frac{1}{20}$)+$\frac{1}{42}$×($\frac{1}{5}$+$\frac{1}{2}$)=$\frac{1}{6}$×$\frac{7}{5}$+$\frac{1}{42}$×$\frac{7}{10}$=$\frac{7}{30}$+$\frac{1}{60}$=$\frac{14}{60}$+$\frac{1}{60}$=$\frac{1}{4}$
(2)原式=$\frac{5}{6}$×2023=$\frac{5}{6}$×(2022+1)=$\frac{5}{6}$×2022+$\frac{5}{6}$=1685+$\frac{5}{6}$=1685$\frac{5}{6}$