Ответ:
1) x=12
2) m=6
3) k=338
Пошаговое объяснение:
1)
[tex]6 \div 4 = 18 \div x[/tex]
[tex] \frac{6}{4} = \frac{18}{x} [/tex]
[tex] \frac{4}{6} = \frac{x}{18} [/tex]
[tex] \frac{x}{18} = \frac{4}{6} [/tex]
[tex]x = \frac{4 \times 18}{6} [/tex]
[tex]x = 4 \times 3[/tex]
[tex]x = 12[/tex]
Проверка:
[tex] \frac{6}{4} = \frac{18}{12} [/tex]
[tex] \frac{6}{4} = \frac{3 \times 6}{3 \times 4} [/tex]
[tex] \frac{6}{4} = \frac{6}{4} [/tex]
2)
[tex]36 \div 24 = 9 \div m[/tex]
[tex] \frac{36}{24} = \frac{9}{m} [/tex]
[tex] \frac{24}{36} = \frac{m}{9} [/tex]
[tex] \frac{m}{9} = \frac{24}{36} [/tex]
[tex]m = \frac{24 \times 9}{36} [/tex]
[tex]m = \frac{24}{4} [/tex]
[tex]m = 6[/tex]
[tex] \frac{6}{9} = \frac{24}{36} [/tex]
[tex] \frac{6}{9} = \frac{4 \times 6}{4 \times 9} [/tex]
[tex] \frac{6}{9} = \frac{6}{9} [/tex]
3)
[tex]13 \div k = 2 \div 52[/tex]
[tex] \frac{13}{k} = \frac{2}{52} [/tex]
[tex] \frac{k}{13} = \frac{52}{2} [/tex]
[tex]k = \frac{52 \times 13}{2} [/tex]
[tex]k = 26 \times 13[/tex]
[tex]k = 338[/tex]
[tex] \frac{338}{13} = \frac{52}{2} [/tex]
[tex]26 = 26[/tex]
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Answers & Comments
Ответ:
1) x=12
2) m=6
3) k=338
Пошаговое объяснение:
1)
[tex]6 \div 4 = 18 \div x[/tex]
[tex] \frac{6}{4} = \frac{18}{x} [/tex]
[tex] \frac{4}{6} = \frac{x}{18} [/tex]
[tex] \frac{x}{18} = \frac{4}{6} [/tex]
[tex]x = \frac{4 \times 18}{6} [/tex]
[tex]x = 4 \times 3[/tex]
[tex]x = 12[/tex]
Проверка:
[tex] \frac{6}{4} = \frac{18}{12} [/tex]
[tex] \frac{6}{4} = \frac{3 \times 6}{3 \times 4} [/tex]
[tex] \frac{6}{4} = \frac{6}{4} [/tex]
2)
[tex]36 \div 24 = 9 \div m[/tex]
[tex] \frac{36}{24} = \frac{9}{m} [/tex]
[tex] \frac{24}{36} = \frac{m}{9} [/tex]
[tex] \frac{m}{9} = \frac{24}{36} [/tex]
[tex]m = \frac{24 \times 9}{36} [/tex]
[tex]m = \frac{24}{4} [/tex]
[tex]m = 6[/tex]
Проверка:
[tex] \frac{6}{9} = \frac{24}{36} [/tex]
[tex] \frac{6}{9} = \frac{4 \times 6}{4 \times 9} [/tex]
[tex] \frac{6}{9} = \frac{6}{9} [/tex]
3)
[tex]13 \div k = 2 \div 52[/tex]
[tex] \frac{13}{k} = \frac{2}{52} [/tex]
[tex] \frac{k}{13} = \frac{52}{2} [/tex]
[tex]k = \frac{52 \times 13}{2} [/tex]
[tex]k = 26 \times 13[/tex]
[tex]k = 338[/tex]
Проверка:
[tex] \frac{338}{13} = \frac{52}{2} [/tex]
[tex]26 = 26[/tex]