《2025年多维互动提优课堂六年级数学上册苏教版提升版》

1. 直接写出得数。
$\frac{3}{4} × \frac{2}{5}=$$\frac{3}{10}$
$\frac{5}{7} ÷ 15=$$\frac{1}{21}$
$\frac{2}{7} × 14=$4
$\frac{2}{7} ÷ 2=$$\frac{1}{7}$
$\frac{2}{7} × \frac{7}{2}=$1
$\frac{7}{24} × \frac{3}{14}=$$\frac{1}{16}$
$\frac{4}{3} ÷ \frac{3}{4}=$$\frac{16}{9}$
$\frac{10}{9} ÷ \frac{9}{8} × 0=$0

答案： $\frac{3}{10}$；$\frac{1}{21}$；4；$\frac{1}{7}$；1；$\frac{1}{16}$；$\frac{16}{9}$；0

2. 解方程。
$\frac{3}{4}x - \frac{1}{4}x = \frac{11}{12}$______
$\frac{5}{6}x - 5 = 30$______
$1 - \frac{2}{3}x = \frac{9}{10}$______

答案： $\frac{3}{4}x - \frac{1}{4}x = \frac{11}{12}$
解：$\frac{2}{4}x = \frac{11}{12}$
$\frac{1}{2}x = \frac{11}{12}$
$x = \frac{11}{12} ÷ \frac{1}{2}$
$x = \frac{11}{12} × 2$
$x = \frac{11}{6}$
$\frac{5}{6}x - 5 = 30$
解：$\frac{5}{6}x = 30 + 5$
$\frac{5}{6}x = 35$
$x = 35 ÷ \frac{5}{6}$
$x = 35 × \frac{6}{5}$
$x = 42$
$1 - \frac{2}{3}x = \frac{9}{10}$
解：$\frac{2}{3}x = 1 - \frac{9}{10}$
$\frac{2}{3}x = \frac{1}{10}$
$x = \frac{1}{10} ÷ \frac{2}{3}$
$x = \frac{1}{10} × \frac{3}{2}$
$x = \frac{3}{20}$

3. 计算下面各题。
$\frac{3}{4} × \frac{7}{4} ÷ \frac{21}{8}= $______
$\frac{15}{16} ÷ \frac{5}{6} ÷ \frac{3}{8}= $______
$\frac{7}{12} × 18 ÷ \frac{35}{12}= $______

答案： $\frac{3}{4} × \frac{7}{4} ÷ \frac{21}{8}$
$=\frac{3}{4} × \frac{7}{4} × \frac{8}{21}$
$=\frac{3×7×8}{4×4×21}$
$=\frac{168}{336}$
$=\frac{1}{2}$
$\frac{15}{16} ÷ \frac{5}{6} ÷ \frac{3}{8}$
$=\frac{15}{16} × \frac{6}{5} × \frac{8}{3}$
$=\frac{15×6×8}{16×5×3}$
$=\frac{720}{240}$
$=3$
$\frac{7}{12} × 18 ÷ \frac{35}{12}$
$=\frac{7}{12} × 18 × \frac{12}{35}$
$=\frac{7×18×12}{12×35}$
$=\frac{1512}{420}$
$=\frac{18}{5}$