2а и найдите его значение при а=2,1...

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July 2022 1 10 Report

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Упростите выражение 5/12а+3/4а-1/2а и найдите его значение при а=2,1

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sstavridka

Ответ:

пусть а=х

$\frac{5}{12} x + \frac{3}{4} x - \frac{1}{2} x =$

сводим к общему знаменателю 12

$\frac{5}{12} x + \frac{3}{4} x \ \frac{3}{3} - \frac{1}{2} x \times \frac{6}{6} = \\ = x( \frac{5}{12} + \frac{9}{12} - \frac{6}{12} ) = \\ = \frac{5 + 9 - 6}{12} x = \\ = \frac{8}{12} x = \frac{2}{3} x$

при а = 2.1

$2.1 = 2 \frac{1}{10} = \frac{21}{10} \\ \frac{2}{3} a = \frac{2 \times 21}{3 \times 10} = \frac{7}{5} = 1 \frac{2}{5} = 1.4$

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