Question

Ex 4 repede , va rog

Answer 1

Răspuns:

1) ($\frac{3*6-1*15+1*10}{30}$)² :[$\frac{7}{3}$ -2 *($\frac{4*2-1*3}{6}$)]= ($\frac{18-15+10}{30}$)² : [ $\frac{7}{3}$ -2*($\frac{8-3}{6}$)]=

($\frac{13}{30}$)² : ($\frac{7}{3}$-2* $\frac{5}{6}$)= $\frac{169}{900} :$ ($\frac{14}{6}$ -$\frac{10}{6}$)= $\frac{169}{900}$ :$\frac{4}{6}$ = $\frac{169}{900}$ * $\frac{6}{4}$= $\frac{169*1}{150*4}$= $\frac{169}{600}$

2)$\frac{143}{100}$ :$\frac{5}{10}$ +10.5= $\frac{143}{100}$ *$\frac{10}{5}$ +10.5= $\frac{143}{50}$ +10.5= 2.86+10.5=13.36

3) 0.16 + $\frac{216}{100}$ *$\frac{10}{9}$ + $\frac{314}{10}$* $\frac{100}{8}$= 0,16 + $\frac{24}{10*1}$ + $\frac{157*5}{2}$= 0,16+ 2.4+392.5=395.06

4) 15=3*5   18= 2*9    12=3*4  

[($\frac{6*1-1*5}{90}$) *$\frac{45}{1}$  + $\frac{1}{60}$ :($\frac{5*1- 4*1}{60}$)]: $\frac{2*1+1}{2}$=( $\frac{1}{90}$ * 45 + $\frac{1}{60}$ * $\frac{60}{1}$) : $\frac{3}{2}$= ($\frac{1}{2}$ +1) *$\frac{2}{3}$=

$\frac{1+2}{2}$ * $\frac{2}{3}$= $\frac{3}{2}$ * $\frac{2}{3}$= 6:6= 1

=> N∈N