与えられた画像には、分数、小数、整数が混ざったかけ算の問題が20問あります。これらの問題を解く必要があります。

1. 問題の内容

与えられた画像には、分数、小数、整数が混ざったかけ算の問題が20問あります。これらの問題を解く必要があります。

2. 解き方の手順

**ステップ1**

(1) $0.9 \times \frac{1}{4} = \frac{9}{10} \times \frac{1}{4} = \frac{9}{40}$

(2) $1.3 \times \frac{4}{5} = \frac{13}{10} \times \frac{4}{5} = \frac{52}{50} = \frac{26}{25} = 1\frac{1}{25}$

(3) $2.2 \times \frac{5}{8} = \frac{22}{10} \times \frac{5}{8} = \frac{11}{5} \times \frac{5}{8} = \frac{11}{8} = 1\frac{3}{8}$

(4) $\frac{7}{8} \times 1.1 = \frac{7}{8} \times \frac{11}{10} = \frac{77}{80}$

(5) $\frac{1}{6} \times 0.4 = \frac{1}{6} \times \frac{4}{10} = \frac{1}{6} \times \frac{2}{5} = \frac{2}{30} = \frac{1}{15}$

(6) $\frac{8}{9} \times 1.5 = \frac{8}{9} \times \frac{15}{10} = \frac{8}{9} \times \frac{3}{2} = \frac{4}{3} \times \frac{1}{1} = \frac{4}{3} = 1\frac{1}{3}$

(7) $1\frac{1}{2} \times 0.7 = \frac{3}{2} \times \frac{7}{10} = \frac{21}{20} = 1\frac{1}{20}$

(8) $1\frac{1}{4} \times 1.6 = \frac{5}{4} \times \frac{16}{10} = \frac{5}{4} \times \frac{8}{5} = 2$

(9) $0.8 \times 1\frac{3}{7} = \frac{8}{10} \times \frac{10}{7} = \frac{4}{5} \times \frac{10}{7} = \frac{4}{1} \times \frac{2}{7} = \frac{8}{7} = 1\frac{1}{7}$

(10) $1.2 \times 1\frac{7}{8} = \frac{12}{10} \times \frac{15}{8} = \frac{6}{5} \times \frac{15}{8} = \frac{3}{1} \times \frac{3}{4} = \frac{9}{4} = 2\frac{1}{4}$

**ステップ2**

(11) $\frac{1}{6} \times \frac{1}{2} \times 0.3 = \frac{1}{6} \times \frac{1}{2} \times \frac{3}{10} = \frac{1}{12} \times \frac{3}{10} = \frac{1}{4} \times \frac{1}{10} = \frac{1}{40}$

(12) $\frac{1}{3} \times 1.4 \times \frac{5}{8} = \frac{1}{3} \times \frac{14}{10} \times \frac{5}{8} = \frac{1}{3} \times \frac{7}{5} \times \frac{5}{8} = \frac{1}{3} \times \frac{7}{8} = \frac{7}{24}$

(13) $\frac{2}{9} \times 1.5 \times \frac{4}{5} = \frac{2}{9} \times \frac{15}{10} \times \frac{4}{5} = \frac{2}{9} \times \frac{3}{2} \times \frac{4}{5} = \frac{1}{3} \times \frac{1}{1} \times \frac{4}{5} = \frac{4}{15}$

(14) $2.1 \times \frac{3}{4} \times \frac{5}{7} = \frac{21}{10} \times \frac{3}{4} \times \frac{5}{7} = \frac{3}{2} \times \frac{3}{4} \times \frac{1}{1} = \frac{9}{8} = 1\frac{1}{8}$

(15) $1.8 \times \frac{2}{3} \times \frac{5}{6} = \frac{18}{10} \times \frac{2}{3} \times \frac{5}{6} = \frac{9}{5} \times \frac{2}{3} \times \frac{5}{6} = \frac{3}{1} \times \frac{1}{1} \times \frac{1}{3} = 1$

(16) $0.7 \times 6 \times \frac{1}{5} = \frac{7}{10} \times 6 \times \frac{1}{5} = \frac{7}{5} \times 3 \times \frac{1}{5} = \frac{42}{50} = \frac{21}{25}$

(17) $0.5 \times \frac{6}{7} \times 4 = \frac{1}{2} \times \frac{6}{7} \times 4 = \frac{3}{7} \times 4 = \frac{12}{7} = 1\frac{5}{7}$

(18) $\frac{3}{4} \times 1.2 \times 5 = \frac{3}{4} \times \frac{12}{10} \times 5 = \frac{3}{1} \times \frac{3}{10} \times 5 = \frac{9}{2} = 4\frac{1}{2}$

(19) $3 \times \frac{8}{9} \times 0.6 = 3 \times \frac{8}{9} \times \frac{6}{10} = 3 \times \frac{8}{9} \times \frac{3}{5} = 1 \times \frac{8}{3} \times \frac{3}{5} = \frac{8}{5} = 1\frac{3}{5}$

(20) $10 \times \frac{7}{12} \times 2.4 = 10 \times \frac{7}{12} \times \frac{24}{10} = 1 \times \frac{7}{1} \times \frac{2}{1} = 14$

3. 最終的な答え

(1) $\frac{9}{40}$

(2) $1\frac{1}{25}$

(3) $1\frac{3}{8}$

(4) $\frac{77}{80}$

(5) $\frac{1}{15}$

(6) $1\frac{1}{3}$

(7) $1\frac{1}{20}$

(8) $2$

(9) $1\frac{1}{7}$

(10) $2\frac{1}{4}$

(11) $\frac{1}{40}$

(12) $\frac{7}{24}$

(13) $\frac{4}{15}$

(14) $1\frac{1}{8}$

(15) $1$

(16) $\frac{21}{25}$

(17) $1\frac{5}{7}$

(18) $4\frac{1}{2}$

(19) $1\frac{3}{5}$

(20) $14$