《2025年状元成才路创优作业100分六年级数学上册人教版湖南专版》

1. 直接写出得数。
$\frac{3}{8} ÷ 6 = $$\frac{1}{16}$ $\frac{5}{6} ÷ \frac{6}{7} = $$\frac{35}{36}$ $4.5 ÷ \frac{3}{5} = $7.5 $1 ÷ \frac{8}{9} × \frac{9}{8} = $$\frac{81}{64}$
$\frac{3}{10} ÷ \frac{6}{5} = $$\frac{1}{4}$ $\frac{10}{21} ÷ 5 = $$\frac{2}{21}$ $\frac{3}{20} ÷ \frac{3}{4} = $$\frac{1}{5}$ $(2 + \frac{1}{8}) ÷ 17 = $$\frac{1}{8}$

答案： 1. $\frac{1}{16}$ $\frac{35}{36}$ 7.5 $\frac{81}{64}$ $\frac{1}{4}$ $\frac{2}{21}$ $\frac{1}{5}$ $\frac{1}{8}$

2. 下面的计算对吗？对的画“√”,错的画“×”并改正。
$\frac{8}{25} ÷ 5 = \frac{25}{8} × \frac{1}{5} = \frac{5}{8}$ (×) $\frac{14}{11} - \frac{3}{11} ÷ \frac{11}{3} = \frac{14}{11} - 1 = \frac{3}{11}$ (×)
改正：$\frac{8}{25}÷5=\frac{8}{25}×\frac{1}{5}=\frac{8}{125}$ 改正：$\frac{14}{11}-\frac{3}{11}÷\frac{11}{3}=\frac{14}{11}-\frac{9}{121}=\frac{145}{121}$

答案： 2. × $\frac{8}{25}÷5=\frac{8}{25}×\frac{1}{5}=\frac{8}{125}$
× $\frac{14}{11}-\frac{3}{11}÷\frac{11}{3}=\frac{14}{11}-\frac{9}{121}=\frac{145}{121}$

3. 解方程。
$x ÷ \frac{5}{6} = \frac{1}{4}$ $\frac{4}{15}x ÷ \frac{3}{5} = 20$ $\frac{3}{8}x = \frac{5}{7} × \frac{7}{16}$ $\frac{1}{2}(x - 0.3) = 4$

答案： 3. $x÷\frac{5}{6}=\frac{1}{4}$ $\frac{4}{15}x÷\frac{3}{5}=20$
解：$x=\frac{1}{4}×\frac{5}{6}$ 解：$\frac{4}{15}x=20×\frac{3}{5}$
$x=\frac{5}{24}$ $\frac{4}{15}x=12$
$x=45$
$\frac{3}{8}x=\frac{5}{7}×\frac{7}{16}$ $\frac{1}{2}(x-0.3)=4$
解：$\frac{3}{8}x=\frac{5}{16}$ 解：$x-0.3=4÷\frac{1}{2}$
$x=\frac{5}{6}$ $x-0.3=8$
$x=8.3$

4. 计算下面各题,能简算的要简算。
$\frac{6}{7} × \frac{5}{8} ÷ \frac{3}{14}$ $\frac{3}{5} + \frac{2}{5} ÷ 0.4$ $\frac{7}{3} × 1.25 ÷ \frac{7}{9} × 8$
$\frac{6}{7} × \frac{3}{4} + \frac{1}{4} ÷ \frac{7}{6}$ $\frac{5}{6} ÷ (6 - \frac{7}{13} - \frac{6}{13})$ $\frac{3}{7} ÷ (\frac{11}{6} + \frac{2}{3}) × \frac{10}{3}$
$(\frac{5}{6} - \frac{1}{4} + \frac{3}{8}) ÷ \frac{1}{24}$ $\frac{4}{5} ÷ [(\frac{5}{6} - \frac{3}{8}) × \frac{6}{11}]$ $2025 ÷ 2025\frac{2025}{2026}$

答案： 4. $\frac{6}{7}×\frac{5}{8}÷\frac{3}{14}$ $\frac{3}{5}+\frac{2}{5}÷0.4$
$=\frac{6}{7}×\frac{5}{8}×\frac{14}{3}$ $=\frac{3}{5}+1$
$=\frac{5}{2}$ $=1\frac{3}{5}$
$\frac{7}{3}×1.25÷\frac{7}{9}×8$ $\frac{6}{7}×\frac{3}{4}+\frac{1}{4}÷\frac{7}{6}$
$=(\frac{7}{3}÷\frac{7}{9})×(1.25×8)$ $=\frac{6}{7}×\frac{3}{4}+\frac{1}{4}×\frac{6}{7}$
$=3×10$ $=\frac{6}{7}×(\frac{3}{4}+\frac{1}{4})$
$=30$ $=\frac{6}{7}$
$\frac{5}{6}÷(6-\frac{7}{13}-\frac{6}{13})$ $\frac{3}{7}÷(\frac{11}{6}+\frac{2}{3})×\frac{10}{3}$
$=\frac{5}{6}÷5$ $=\frac{3}{7}÷\frac{5}{2}×\frac{10}{3}$
$=\frac{1}{6}$ $=\frac{6}{35}×\frac{10}{3}$
$=\frac{4}{7}$
$(\frac{5}{6}-\frac{1}{4}+\frac{3}{8})÷\frac{1}{24}$
$=(\frac{5}{6}-\frac{1}{4}+\frac{3}{8})×24$
$=\frac{5}{6}×24-\frac{1}{4}×24+\frac{3}{8}×24$
$=20-6+9$
$=23$
$\frac{4}{5}÷[(\frac{5}{6}-\frac{3}{8})×\frac{6}{11}]$
$=\frac{4}{5}÷[\frac{11}{24}×\frac{6}{11}]$
$=\frac{4}{5}÷\frac{1}{4}$
$=\frac{16}{5}$
2025÷2025$\frac{2025}{2026}$
$=2025÷\frac{2025×2026+2025}{2026}$
$=2025÷\frac{2025×(2026+1)}{2026}$
$=2025÷\frac{2025×2027}{2026}$
$=\frac{2026}{2027}$