Thực hiện phép tính (hợp lí nếu có thể): 14/23(-8/11)+14/23x(-3/11)

a) \(\frac{{14}}{{23}} \cdot \left( { - \frac{8}{{11}}} \right) + \frac{{14}}{{23}} \cdot \left( { - \frac{3}{{11}}} \right)\)

\( = \frac{{14}}{{23}} \cdot \left( { - \frac{8}{{11}} - \frac{3}{{11}}} \right)\)

\( = \frac{{14}}{{23}} \cdot \left( { - 1} \right)\)

\( = \frac{{ - 14}}{{23}} \cdot \)

b) \(9,51 \cdot \left( { - 14,75} \right) + 9,51 \cdot \left( { - 85,25} \right)\)

\( = 9,51 \cdot \left( { - 14,75 - 85,25} \right)\)

\( = 9,51 \cdot \left( { - 100} \right)\)

\( = - 951.\)

a) \(x - \frac{7}{4} = \frac{3}{{16}}\)

\(x = \frac{3}{{16}} + \frac{7}{4}\)

\(x = \frac{3}{{16}} + \frac{{28}}{{16}}\)

\(x = \frac{{31}}{{16}}\).

Vậy \(x = \frac{{31}}{{16}}\).

b) \(\left( {5x - \frac{4}{9}} \right) \cdot \frac{8}{{27}} = \frac{8}{3}\)

\(5x - \frac{4}{9} = \frac{8}{3}:\frac{8}{{27}}\)

\(5x - \frac{4}{9} = \frac{8}{3} \cdot \frac{{27}}{8}\)

\(5x - \frac{4}{9} = 9\)

\(5x = 9 + \frac{4}{9}\)

\(5x = \frac{{85}}{9}\)

\(x = \frac{{85}}{9}:5\)

\(x = \frac{{17}}{9}\)

Vậy \(x = \frac{{17}}{9}\).