Question

calculati aplicand distributivitatea inmultirii fata de adunare si scadere:a)12/5×(3/8+5/18);
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Answer 1

Răspuns:

$\frac{47}{30}$

Explicație pas cu pas:

Distributivitatea inmultirii fata de adunare ne spune ca daca avem numerele a,b,c atunci ax(b+c)=axb+axc

$\displaystyle\frac{12}{5} \times (\frac{3}{8} +\frac{5}{18} )= \frac{12}{5} \times\frac{3}{8} +\frac{12}{5} \times \frac{5}{18} = \frac{\not12}{5} \times\frac{3}{\not8} +\frac{12}{\not5} \times \frac{\not5}{18} = \frac{3}{5} \times\frac{3}{2} +\frac{12}{1} \times \frac{1}{18} == \frac{3}{5} \times\frac{3}{2} +\frac{\not12}{1} \times \frac{1}{\not18} =\frac{9}{10} +\frac{2}{3} =\frac{9 \times 3}{30} +\frac{2\times 10}{30} =\frac{27+20}{30} =\frac{47}{30}$