Question

Решите выражения: 3,4/7 - 2,3/5 6,5/6 + 2,3/8 4,5/14 + (5,1/12 - 3,4/21)

Answer 1

Пошаговое объяснение:

$\tt\displaystyle \[3\frac{4}{7}-2\frac{3}{5}=3\frac{{20}}{{35}}-2\frac{{21}}{{35}} = 2\frac{{55}}{{35}}-2\frac{{21}}{{35}}=\frac{{34}}{{35}}\]$

$\tt\displaystyle\[6\frac{5}{6} + 2\frac{3}{8} = 6\frac{{20}}{{24}} + 2\frac{9}{{24}} = 8\frac{{29}}{{24}} = 9\frac{5}{{24}}\]$

$\[\begin{gathered}4\frac{5}{{14}}+\left( {5\frac{1}{{12}}-3\frac{4}{{21}}}\right)=4\frac{{30}}{{84}}+\left( {5\frac{7}{{84}}-3\frac{{16}}{{84}}}\right)=4\frac{{30}}{{84}}+\left( {4\frac{{91}}{{84}} - 3\frac{{16}}{{84}}} \right)=\hfill\\=4\frac{{30}}{{84}}+1\frac{{75}}{{84}}=5\frac{{105}}{{84}}=6\frac{{21}}{{84}}=6\frac{1}{4} \hfill\\ \end{gathered}\]$