Question

Найдите значения выражений 4 2\3*8- 2 1\3*1 3\14- 1 37\48*2 2\15

Answer 1

$4 \frac{2}{3}*8-2 \frac{1}{3}* 1 \frac{3}{14}-1 \frac{37}{48}*2 \frac{2}{15}=30\frac{13}{18}$ 

$1) 4 \frac{2}{3}*8= \frac{4*3+2}{3}*8= \frac{14}{3}*8= \frac{112}{3}$

$2) 2 \frac{1}{3}*1\frac{3}{14}= \frac{2*3+1}{3}*\frac{1*14+3}{14}= \frac{7}{3}*\frac{17}{14}= \frac{1}{3}*\frac{17}{2}= \frac{17}{6}$

$3) 1\frac{37}{48}*2\frac{2}{15}= \frac{1*48+37}{48}*\frac{2*15+2}{15}= \frac{85}{48}*\frac{32}{15}= \frac{17}{3}*\frac{2}{3}= \frac{34}{9}$

$4) \frac{112}{3}-\frac{17}{6}= \frac{2*112-17}{6}= \frac{207}{6}$

$5) \frac{207}{6}-\frac{34}{9}= \frac{3*207-2*34}{18}= \frac{621-68}{18} =\frac{553}{18}=30 \frac{13}{18}$ 

Answer 2

$4 \frac{2}{3}*8-2 \frac{1}{3} *1 \frac{3}{14} -1 \frac{37}{48} *2 \frac{2}{15}$=$\frac{14+8}{3} - \frac{7+17}{3+14} - \frac{37+32}{48+15} = 7\frac{5}{15} -3 \frac{6}{15} -2= 1 \frac{14}{15}$