《2025年心算口算巧算六年级上册北师大版》

$\frac{3}{5} × \frac{5}{14} × \frac{1}{6}$

答案： $\frac{3 × 5 × 1}{5 × 14 × 6}$
$= \frac{3}{84}$
$= \frac{1}{28}$

$\frac{1}{10} × \frac{2}{7} + \frac{3}{5}$

答案： $\frac{2}{70} + \frac{42}{70}$
$= \frac{44}{70}$
$= \frac{22}{35}$

$\frac{4}{5} ÷ \frac{2}{3} - \frac{5}{8}$

答案： $\frac{4}{5} × \frac{3}{2} - \frac{5}{8}$
$= \frac{6}{5} - \frac{5}{8}$
$= \frac{48}{40} - \frac{25}{40}$
$= \frac{23}{40}$

$\frac{3}{8} × \frac{5}{6} + \frac{1}{6} × \frac{25}{8}$

答案： $\frac{15}{48} + \frac{25}{48}$
$= \frac{40}{48}$
$= \frac{5}{6}$

$\frac{34}{13} × \frac{1}{5} ÷ \frac{17}{8}$

答案： $\frac{34}{65} × \frac{8}{17}$
$= \frac{272}{1105}$
$= \frac{16}{65}$

$(1 + \frac{4}{9}) × \frac{3}{10}$

答案： $\frac{13}{9} × \frac{3}{10}$
$= \frac{39}{90}$
$= \frac{13}{30}$

$\frac{13}{24} ÷ (\frac{2}{3} ÷ \frac{2}{7})$

答案： $\frac{13}{24} ÷ (\frac{2}{3} × \frac{7}{2})$
$= \frac{13}{24} ÷ \frac{7}{3}$
$= \frac{13}{24} × \frac{3}{7}$
$= \frac{13}{56}$

$\frac{4}{15} × (\frac{5}{8} - \frac{4}{7})$

答案： $\frac{4}{15} × (\frac{35}{56} - \frac{32}{56})$
$= \frac{4}{15} × \frac{3}{56}$
$= \frac{12}{840}$
$= \frac{1}{70}$

$27 × \frac{5}{9} + 27 × \frac{4}{9}$

答案： $27 × (\frac{5}{9} + \frac{4}{9})$
$= 27 × 1$
$= 27$

$\frac{25}{4}x - \frac{5}{6} = \frac{5}{8}$

答案： $\frac{25}{4}x = \frac{5}{8} + \frac{5}{6}$
$\frac{25}{4}x = \frac{15}{24} + \frac{20}{24}$
$\frac{25}{4}x = \frac{35}{24}$
$x = \frac{35}{24} × \frac{4}{25}$
$x = \frac{7}{30}$

$(\frac{1}{3} - \frac{1}{4})x = \frac{1}{4}$

答案： $\frac{1}{12}x = \frac{1}{4}$
$x = \frac{1}{4} × 12$
$x = 3$

$\frac{3}{14} + 2x = \frac{5}{7}$

答案： $2x = \frac{5}{7} - \frac{3}{14}$
$2x = \frac{10}{14} - \frac{3}{14}$
$2x = \frac{7}{14}$
$2x = \frac{1}{2}$
$x = \frac{1}{4}$

$\frac{2}{3}x + \frac{1}{2}x = 42$

答案： $\frac{4}{6}x + \frac{3}{6}x = 42$
$\frac{7}{6}x = 42$
$x = 42 × \frac{6}{7}$
$x = 36$

$\frac{5}{18}x = \frac{4}{9} × \frac{3}{8}$

答案： $\frac{5}{18}x = \frac{12}{72}$
$\frac{5}{18}x = \frac{1}{6}$
$x = \frac{1}{6} × \frac{18}{5}$
$x = \frac{3}{5}$

$4x - \frac{4}{33} × 9 = \frac{4}{11}$

答案： $4x - \frac{36}{33} = \frac{4}{11}$
$4x - \frac{12}{11} = \frac{4}{11}$
$4x = \frac{16}{11}$
$x = \frac{4}{11}$