与えられた分数のかけ算、割り算の問題を解く。

1. 問題の内容

与えられた分数のかけ算、割り算の問題を解く。

2. 解き方の手順

問題を一つずつ解いていく。

(1) $4 \times \frac{5}{24} = \frac{4 \times 5}{24} = \frac{20}{24} = \frac{5}{6}$

(2) $7 \times \frac{3}{11} = \frac{7 \times 3}{11} = \frac{21}{11}$

(3) $\frac{7}{5} \times \frac{5}{15} = \frac{7 \times 5}{5 \times 15} = \frac{7}{15}$

(4) $\frac{4}{15} \times \frac{7}{8} = \frac{4 \times 7}{15 \times 8} = \frac{28}{120} = \frac{7}{30}$

(5) $\frac{6}{11} \times \frac{5}{9} = \frac{6 \times 5}{11 \times 9} = \frac{30}{99} = \frac{10}{33}$

(6) $\frac{6}{7} \times \frac{14}{15} \times \frac{12}{5} = \frac{6 \times 14 \times 12}{7 \times 15 \times 5} = \frac{1008}{525} = \frac{336}{175} = \frac{48}{25}$

(7) $\frac{29}{13} \times \frac{1}{29} = \frac{1}{13}$

(8) $\frac{4}{21} \times \frac{7}{5} = \frac{4 \times 7}{21 \times 5} = \frac{28}{105} = \frac{4}{15}$

(9) $\frac{9}{24} \times \frac{3}{27} = \frac{9 \times 3}{24 \times 27} = \frac{27}{648} = \frac{1}{24}$

(10) $\frac{33}{25} \times \frac{15}{16} = \frac{33 \times 15}{25 \times 16} = \frac{495}{400} = \frac{99}{80}$

(11) $2\frac{2}{3} \times 2\frac{5}{8} = \frac{8}{3} \times \frac{21}{8} = \frac{8 \times 21}{3 \times 8} = \frac{21}{3} = 7$

(12) $3\frac{5}{7} \times 1\frac{1}{4} = \frac{26}{7} \times \frac{5}{4} = \frac{26 \times 5}{7 \times 4} = \frac{130}{28} = \frac{65}{14}$

(13) $7\frac{4}{5} \times 2\frac{1}{2} = \frac{39}{5} \times \frac{5}{2} = \frac{39 \times 5}{5 \times 2} = \frac{39}{2}$

(14) $1\frac{1}{13} \times \frac{8}{1} \times \frac{1}{10} = \frac{14}{13} \times \frac{8}{10} = \frac{14 \times 8}{13 \times 10} = \frac{112}{130} = \frac{56}{65}$

3. 最終的な答え

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

(2) $\frac{21}{11}$

(3) $\frac{7}{15}$

(4) $\frac{7}{30}$

(5) $\frac{10}{33}$

(6) $\frac{48}{25}$

(7) $\frac{1}{13}$

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

(9) $\frac{1}{24}$

(10) $\frac{99}{80}$

(11) $7$

(12) $\frac{65}{14}$

(13) $\frac{39}{2}$

(14) $\frac{56}{65}$