画像の算数問題を解きます。具体的には、以下の10個の問題を解きます。 (1) $0.9 \times \frac{1}{4}$ (2) $1.3 \times \frac{4}{5}$ (3) $2.2 \times \frac{5}{8}$ (4) $\frac{7}{8} \times 1.1$ (5) $\frac{1}{6} \times 0.4$ (6) $\frac{8}{9} \times 1.5$ (7) $1\frac{1}{2} \times 0.7$ (8) $1\frac{1}{4} \times 1.6$ (9) $0.8 \times 1\frac{3}{7}$ (10) $1.2 \times 1\frac{7}{8}$ (11) $\frac{1}{6}\times\frac{1}{2}\times0.3$ (12) $\frac{1}{3}\times1.4\times\frac{5}{8}$ (13) $\frac{2}{9}\times1.5\times\frac{4}{5}$ (14) $2.1\times\frac{3}{4}\times\frac{5}{7}$ (15) $1.8\times\frac{2}{3}\times\frac{5}{6}$ (16) $0.7\times6\times\frac{1}{5}$ (17) $0.5\times\frac{6}{7}\times4$ (18) $\frac{3}{4}\times1.2\times5$ (19) $3\times\frac{8}{9}\times0.6$ (20) $10\times\frac{7}{12}\times2.4$

1. 問題の内容

画像の算数問題を解きます。具体的には、以下の10個の問題を解きます。

(1) $0.9 \times \frac{1}{4}$

(2) $1.3 \times \frac{4}{5}$

(3) $2.2 \times \frac{5}{8}$

(4) $\frac{7}{8} \times 1.1$

(5) $\frac{1}{6} \times 0.4$

(6) $\frac{8}{9} \times 1.5$

(7) $1\frac{1}{2} \times 0.7$

(8) $1\frac{1}{4} \times 1.6$

(9) $0.8 \times 1\frac{3}{7}$

(10) $1.2 \times 1\frac{7}{8}$

(11) $\frac{1}{6}\times\frac{1}{2}\times0.3$

(12) $\frac{1}{3}\times1.4\times\frac{5}{8}$

(13) $\frac{2}{9}\times1.5\times\frac{4}{5}$

(14) $2.1\times\frac{3}{4}\times\frac{5}{7}$

(15) $1.8\times\frac{2}{3}\times\frac{5}{6}$

(16) $0.7\times6\times\frac{1}{5}$

(17) $0.5\times\frac{6}{7}\times4$

(18) $\frac{3}{4}\times1.2\times5$

(19) $3\times\frac{8}{9}\times0.6$

(20) $10\times\frac{7}{12}\times2.4$

2. 解き方の手順

それぞれの問題について、以下の手順で計算します。

* 小数や帯分数を分数に変換する。

* 分数の掛け算を行う。

* 必要であれば、計算結果を約分したり、小数に変換したりする。

以下に各問題の解答を示します。

(1) $0.9 \times \frac{1}{4} = \frac{9}{10} \times \frac{1}{4} = \frac{9}{40} = 0.225$

(2) $1.3 \times \frac{4}{5} = \frac{13}{10} \times \frac{4}{5} = \frac{52}{50} = \frac{26}{25} = 1.04$

(3) $2.2 \times \frac{5}{8} = \frac{22}{10} \times \frac{5}{8} = \frac{11}{5} \times \frac{5}{8} = \frac{11}{8} = 1.375$

(4) $\frac{7}{8} \times 1.1 = \frac{7}{8} \times \frac{11}{10} = \frac{77}{80} = 0.9625$

(5) $\frac{1}{6} \times 0.4 = \frac{1}{6} \times \frac{4}{10} = \frac{1}{6} \times \frac{2}{5} = \frac{2}{30} = \frac{1}{15} \fallingdotseq 0.0667$

(6) $\frac{8}{9} \times 1.5 = \frac{8}{9} \times \frac{15}{10} = \frac{8}{9} \times \frac{3}{2} = \frac{4}{3} \times \frac{1}{1} = \frac{4}{3} = 1\frac{1}{3} \fallingdotseq 1.333$

(7) $1\frac{1}{2} \times 0.7 = \frac{3}{2} \times \frac{7}{10} = \frac{21}{20} = 1.05$

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

(9) $0.8 \times 1\frac{3}{7} = \frac{8}{10} \times \frac{10}{7} = \frac{4}{5} \times \frac{10}{7} = \frac{4}{1} \times \frac{2}{7} = \frac{8}{7} = 1\frac{1}{7} \fallingdotseq 1.143$

(10) $1.2 \times 1\frac{7}{8} = \frac{12}{10} \times \frac{15}{8} = \frac{6}{5} \times \frac{15}{8} = \frac{3}{1} \times \frac{3}{4} = \frac{9}{4} = 2\frac{1}{4} = 2.25$

(11) $\frac{1}{6}\times\frac{1}{2}\times0.3 = \frac{1}{6}\times\frac{1}{2}\times\frac{3}{10} = \frac{3}{120} = \frac{1}{40} = 0.025$

(12) $\frac{1}{3}\times1.4\times\frac{5}{8} = \frac{1}{3}\times\frac{14}{10}\times\frac{5}{8} = \frac{1}{3}\times\frac{7}{5}\times\frac{5}{8} = \frac{35}{120} = \frac{7}{24} \fallingdotseq 0.292$

(13) $\frac{2}{9}\times1.5\times\frac{4}{5} = \frac{2}{9}\times\frac{15}{10}\times\frac{4}{5} = \frac{2}{9}\times\frac{3}{2}\times\frac{4}{5} = \frac{24}{90} = \frac{4}{15} \fallingdotseq 0.267$

(14) $2.1\times\frac{3}{4}\times\frac{5}{7} = \frac{21}{10}\times\frac{3}{4}\times\frac{5}{7} = \frac{3}{2}\times\frac{3}{4}\times\frac{1}{1} = \frac{9}{8} = 1.125$

(15) $1.8\times\frac{2}{3}\times\frac{5}{6} = \frac{18}{10}\times\frac{2}{3}\times\frac{5}{6} = \frac{9}{5}\times\frac{2}{3}\times\frac{5}{6} = \frac{90}{90} = 1$

(16) $0.7\times6\times\frac{1}{5} = \frac{7}{10}\times6\times\frac{1}{5} = \frac{42}{50} = \frac{21}{25} = 0.84$

(17) $0.5\times\frac{6}{7}\times4 = \frac{1}{2}\times\frac{6}{7}\times4 = \frac{24}{14} = \frac{12}{7} \fallingdotseq 1.714$

(18) $\frac{3}{4}\times1.2\times5 = \frac{3}{4}\times\frac{12}{10}\times5 = \frac{3}{4}\times\frac{6}{5}\times5 = \frac{18}{4} = \frac{9}{2} = 4.5$

(19) $3\times\frac{8}{9}\times0.6 = 3\times\frac{8}{9}\times\frac{6}{10} = 3\times\frac{8}{9}\times\frac{3}{5} = \frac{72}{45} = \frac{8}{5} = 1.6$

(20) $10\times\frac{7}{12}\times2.4 = 10\times\frac{7}{12}\times\frac{24}{10} = 10\times\frac{7}{12}\times\frac{12}{5} = \frac{840}{600} = 14$

3. 最終的な答え

(1) $\frac{9}{40} = 0.225$

(2) $\frac{26}{25} = 1.04$

(3) $\frac{11}{8} = 1.375$

(4) $\frac{77}{80} = 0.9625$

(5) $\frac{1}{15} \fallingdotseq 0.0667$

(6) $\frac{4}{3} = 1\frac{1}{3} \fallingdotseq 1.333$

(7) $\frac{21}{20} = 1.05$

(8) $2$

(9) $\frac{8}{7} = 1\frac{1}{7} \fallingdotseq 1.143$

(10) $\frac{9}{4} = 2\frac{1}{4} = 2.25$

(11) $\frac{1}{40} = 0.025$

(12) $\frac{7}{24} \fallingdotseq 0.292$

(13) $\frac{4}{15} \fallingdotseq 0.267$

(14) $\frac{9}{8} = 1.125$

(15) $1$

(16) $\frac{21}{25} = 0.84$

(17) $\frac{12}{7} \fallingdotseq 1.714$

(18) $\frac{9}{2} = 4.5$

(19) $\frac{8}{5} = 1.6$

(20) $14$