《2025年心算口算巧算六年级上册北师大版》

计算下面各题。(能简算的要简算)$(\frac{9}{4} - \frac{3}{2}) × \frac{8}{3}$

答案： 解：括号内：$\frac{9}{4} - \frac{6}{4} = \frac{3}{4}$
$\frac{3}{4} × \frac{8}{3} = 2$

$(\frac{3}{8} - 0.125) × \frac{4}{13}$

答案： 解：$0.125 = \frac{1}{8}$，括号内：$\frac{3}{8} - \frac{1}{8} = \frac{2}{8} = \frac{1}{4}$
$\frac{1}{4} × \frac{4}{13} = \frac{1}{13}$

$\frac{4}{7} ÷ \frac{3}{2} + \frac{4}{7} ÷ 3$

答案： 解：$\frac{4}{7} × \frac{2}{3} + \frac{4}{7} × \frac{1}{3} = \frac{4}{7} × (\frac{2}{3} + \frac{1}{3}) = \frac{4}{7} × 1 = \frac{4}{7}$

$(1 - \frac{1}{2} - \frac{1}{4}) ÷ \frac{1}{8}$

答案： 解：括号内：$\frac{4}{4} - \frac{2}{4} - \frac{1}{4} = \frac{1}{4}$
$\frac{1}{4} × 8 = 2$

$12 ÷ (1 + \frac{1}{3} - \frac{5}{6})$

答案： 解：括号内：$\frac{6}{6} + \frac{2}{6} - \frac{5}{6} = \frac{3}{6} = \frac{1}{2}$
$12 ÷ \frac{1}{2} = 24$

$\frac{2}{5} × 4 ÷ \frac{2}{5} × 4$

答案： 解：$\frac{2}{5} ÷ \frac{2}{5} × 4 × 4 = 1 × 16 = 16$

$\frac{1}{4} × \frac{1}{5} + \frac{1}{4} ÷ \frac{1}{5}$

答案： 解：$\frac{1}{20} + \frac{1}{4} × 5 = \frac{1}{20} + \frac{5}{4} = \frac{1}{20} + \frac{25}{20} = \frac{26}{20} = \frac{13}{10}$

$\frac{5}{8} × \frac{4}{9} + \frac{5}{8} × \frac{5}{9}$

答案： 解：$\frac{5}{8} × (\frac{4}{9} + \frac{5}{9}) = \frac{5}{8} × 1 = \frac{5}{8}$

$12 × (\frac{1}{4} + \frac{1}{6} - \frac{1}{3})$

答案： 解：$12 × \frac{1}{4} + 12 × \frac{1}{6} - 12 × \frac{1}{3} = 3 + 2 - 4 = 1$

$(\frac{1}{2} - \frac{1}{6}) × \frac{3}{5} ÷ \frac{1}{5}$

答案： 解：括号内：$\frac{3}{6} - \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$
$\frac{1}{3} × \frac{3}{5} × 5 = 1$

$\frac{1}{6} ÷ \frac{17}{9} × (\frac{3}{4} + \frac{2}{3})$

答案： 解：括号内：$\frac{9}{12} + \frac{8}{12} = \frac{17}{12}$
$\frac{1}{6} × \frac{9}{17} × \frac{17}{12} = \frac{9}{72} = \frac{1}{8}$

$\frac{2}{3} ÷ (\frac{3}{4} - \frac{1}{2}) × \frac{4}{5}$

答案： 解：括号内：$\frac{3}{4} - \frac{2}{4} = \frac{1}{4}$
$\frac{2}{3} ÷ \frac{1}{4} × \frac{4}{5} = \frac{2}{3} × 4 × \frac{4}{5} = \frac{32}{15}$

$24 ÷ \frac{1}{15} × \frac{1}{18}$

答案： 解：$24 × 15 × \frac{1}{18} = \frac{360}{18} = 20$

$14 × \frac{3}{7} ÷ \frac{1}{2}$

答案： 解：$6 × 2 = 12$

$\frac{5}{3} × \frac{11}{2} × 0$

答案： 解：$0$