Question

вычислите 23/28+2 4/7*(7/18-5/12)-1/2​

Answer 1

$\tt\displaystyle\frac{23}{28}+2\frac{4}{7}*\bigg(\frac{7}{18}-\frac{5}{12}\bigg)-\frac{1}{2}=\frac{1}{4}$

$1)~~\tt\displaystyle\frac{7}{18}-\frac{5}{12}=\frac{14}{36}-\frac{15}{36}=-\frac{1}{36}$

$2)~~2\tt\displaystyle\frac{4}{7}*\bigg(-\frac{1}{36}\bigg)=\frac{18}{7}*\bigg(-\frac{1}{36}\bigg)=-\frac{18*1}{7*18*2}=-\frac{1}{14}$

$3)~~\tt\displaystyle\frac{23}{28}+\bigg(-\frac{1}{14}\bigg)=\frac{23}{28}-\frac{2}{28}=\frac{21}{28}=\frac{3}{4}$

$4)~~\tt\displaystyle\frac{3}{4}-\frac{1}{2}=\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$