1. 問題の内容
画像にある数学の問題を解きます。特に、ステップ1の1番から10番、ステップ2の11番から20番の計算問題を解きます。
2. 解き方の手順
各問題を順に解いていきます。割り算は逆数の掛け算に変換し、必要に応じて小数や帯分数を分数に変換します。計算結果はできるだけ簡単な形にします。
**ステップ1**
1. $0.4 \div \frac{3}{4} = \frac{2}{5} \div \frac{3}{4} = \frac{2}{5} \times \frac{4}{3} = \frac{8}{15}$
2. $1.1 \div \frac{2}{5} = \frac{11}{10} \div \frac{2}{5} = \frac{11}{10} \times \frac{5}{2} = \frac{11}{2 \times 2} = \frac{11}{4}$
3. $0.7 \div \frac{1}{2} = \frac{7}{10} \div \frac{1}{2} = \frac{7}{10} \times \frac{2}{1} = \frac{7}{5}$
4. $1.7 \div 1\frac{8}{9} = \frac{17}{10} \div \frac{17}{9} = \frac{17}{10} \times \frac{9}{17} = \frac{9}{10}$
5. $2.5 \div 3\frac{3}{4} = \frac{5}{2} \div \frac{15}{4} = \frac{5}{2} \times \frac{4}{15} = \frac{2}{3}$
6. $\frac{6}{7} \div 1.8 = \frac{6}{7} \div \frac{9}{5} = \frac{6}{7} \times \frac{5}{9} = \frac{2 \times 5}{7 \times 3} = \frac{10}{21}$
7. $\frac{5}{6} \div 0.5 = \frac{5}{6} \div \frac{1}{2} = \frac{5}{6} \times \frac{2}{1} = \frac{5}{3}$
8. $\frac{3}{8} \div 0.9 = \frac{3}{8} \div \frac{9}{10} = \frac{3}{8} \times \frac{10}{9} = \frac{1 \times 5}{4 \times 3} = \frac{5}{12}$
9. $1\frac{1}{3} \div 0.8 = \frac{4}{3} \div \frac{4}{5} = \frac{4}{3} \times \frac{5}{4} = \frac{5}{3}$
1
0. $2\frac{2}{5} \div 1.2 = \frac{12}{5} \div \frac{6}{5} = \frac{12}{5} \times \frac{5}{6} = 2$
**ステップ2**
1
1. $\frac{5}{6} \times \frac{3}{8} \div 0.25 = \frac{5}{6} \times \frac{3}{8} \div \frac{1}{4} = \frac{5}{6} \times \frac{3}{8} \times 4 = \frac{5}{6} \times \frac{3}{2} = \frac{5}{4}$
1
2. $1.4 \div \frac{7}{9} \div \frac{3}{5} = \frac{7}{5} \div \frac{7}{9} \div \frac{3}{5} = \frac{7}{5} \times \frac{9}{7} \times \frac{5}{3} = \frac{9}{3} = 3$
1
3. $0.75 \div \frac{3}{7} \div 0.7 = \frac{3}{4} \div \frac{3}{7} \div \frac{7}{10} = \frac{3}{4} \times \frac{7}{3} \times \frac{10}{7} = \frac{10}{4} = \frac{5}{2}$
1
4. $6 \times \frac{2}{5} \div 1.8 = 6 \times \frac{2}{5} \div \frac{9}{5} = 6 \times \frac{2}{5} \times \frac{5}{9} = 6 \times \frac{2}{9} = \frac{4}{3}$
1
5. $0.7 \div 4 \times \frac{6}{7} = \frac{7}{10} \div 4 \times \frac{6}{7} = \frac{7}{10} \times \frac{1}{4} \times \frac{6}{7} = \frac{6}{40} = \frac{3}{20}$
1
6. $0.8 \times 7 \div 3.5 = \frac{8}{10} \times 7 \div \frac{35}{10} = \frac{8}{10} \times 7 \times \frac{10}{35} = \frac{8}{5}$
1
7. $10 \div 1.75 \times 1.4 = 10 \div \frac{7}{4} \times \frac{7}{5} = 10 \times \frac{4}{7} \times \frac{7}{5} = 8$
1
8. $0.9 \div 4 \div 2.25 = \frac{9}{10} \div 4 \div \frac{9}{4} = \frac{9}{10} \times \frac{1}{4} \times \frac{4}{9} = \frac{1}{10}$
1
9. $8 \times 12 \div 32 = 96 \div 32 = 3$
2
0. $6 \div 24 \times 16 = \frac{6}{24} \times 16 = \frac{1}{4} \times 16 = 4$
3. 最終的な答え
**ステップ1**
1. $\frac{8}{15}$
2. $\frac{11}{4}$
3. $\frac{7}{5}$
4. $\frac{9}{10}$
5. $\frac{2}{3}$
6. $\frac{10}{21}$
7. $\frac{5}{3}$
8. $\frac{5}{12}$
9. $\frac{5}{3}$
1
0. $2$
**ステップ2**
1
1. $\frac{5}{4}$
1
2. $3$
1
3. $\frac{5}{2}$
1
4. $\frac{4}{3}$
1
5. $\frac{3}{20}$
1
6. $\frac{8}{5}$
1
7. $8$
1
8. $\frac{1}{10}$
1
9. $3$
2