№1332. Найдите частное:
а)[tex]8 \frac{2}{5} \div 1 \frac{1}{20} [/tex]
б)[tex]4 \frac{5}{23} \div 1 \frac{3}{23} [/tex]
в)[tex]20 \frac{5}{8} \div 13 \frac{3}{4} [/tex]
г)[tex]12 \frac{2}{5} \div 3 \frac{1}{10} [/tex]
д)[tex]8 \frac{6}{57} \div 12 \frac{3}{19} [/tex]
Answers & Comments
[tex] \frac{делимое}{делитель} = часное[/tex]
А)
[tex]8 \frac{2}{5} \div 1 \frac{1}{20} = \frac{42}{5} \times \frac{20}{21} = \frac{2}{1} \times \frac{4}{1} = 8[/tex]
Б)
[tex]4 \frac{5}{23} \div 1 \frac{3}{23} = \frac{97}{23} \times \frac{23}{26} = \frac{97}{26} [/tex]
В)
[tex]20 \frac{5}{8} \div 13 \frac{3}{4} = \frac{165}{8} \times \frac{4}{55} = \frac{3}{2} = 1.5[/tex]
Г)
[tex]12 \frac{2}{5} \div 3 \frac{1}{10} = \frac{62}{5} \times \frac{10}{31} = \frac{2}{1} \times \frac{2}{1} = 4[/tex]
Д)
[tex]8 \frac{6}{57} \div 12 \frac{3}{19} = \frac{462}{57} \times \frac{19}{231} = \frac{2}{3} [/tex]
Verified answer
а)
[tex]8 \frac{2}{5} \div 1\frac{1}{20} = \frac{42}{5} \div \frac{21}{20} = \frac{42}{5} \times \frac{20}{21} = 8[/tex]
б)
[tex]4 \frac{5}{23} \div 1 \frac{3}{23} = \frac{97}{23} \div \frac{26}{23} = \frac{97}{23} \times \frac{23}{26} = \frac{97}{26} = 3 \frac{19}{26} [/tex]
в)
[tex]20 \frac{5}{8} \div 13 \frac{3}{4} = \frac{165}{8} \div \frac{55}{4} = \frac{165}{8} \times \frac{4}{55} = \frac{3}{2} = 1.5[/tex]
г)
[tex]12 \frac{2}{5} \div 3 \frac{1}{10} = \frac{62}{5} \div \frac{31}{10} = \frac{62}{5} \times \frac{10}{31} = 4[/tex]
д)
[tex]8 \frac{6}{57} \div 12 \frac{3}{19} = \frac{462}{57} \div \frac{231}{19} = \frac{462}{57} \times \frac{19}{231} = \frac{2}{3} [/tex]