Question

Найдите значение выражения: 1/4•4 3/4•16/57+(4 3/4+1 2/3)•16/21+2/27•4 1/2

Answer 1

$\frac{1}{4}*4 \frac{3}{4}* \frac{16}{57}+(4 \frac{3}{4}+1 \frac{2}{3})* \frac{16}{21}+ \frac{2}{27}*4 \frac{1}{2}=6 \frac{1}{3}$
1. $\frac{1}{4}*4 \frac{3}{4}= \frac{1}{4}* \frac{19}{4}= \frac{19}{16}$
2. $\frac{19}{16}* \frac{16}{57}= \frac{1}{3}$
3. $4 \frac{3}{4}+1 \frac{2}{3}=4 \frac{9}{12}+1 \frac{8}{12}=5 \frac{17}{12}= \frac{77}{12}$
4. $\frac{77}{12}* \frac{16}{21}= \frac{44}{9}$
5. $\frac{2}{27}*4 \frac{1}{2}= \frac{2}{27}*\frac{9}{2}= \frac{1}{3}$
6. $\frac{1}{3}+ \frac{44}{9}+ \frac{1}{3}= \frac{3}{9}+4 \frac{8}{9}+ \frac{3}{9}=5 \frac{12}{9}=6 \frac{3}{9}=6 \frac{1}{3}$