Đề bài

Tính:

a)\(5\frac{3}{4}.\frac{{ - 8}}{9}\); 🥃        b)\(3\frac{3}{4}:2\frac{1}{2}\)         c)\(\frac{{ - 9}}{5}:1,2\)         d)\({\left( {1,7} \right)^{2023}}:{\left( {1,7} \right)^{2021}}\).

Lời giải chi tiết

a)\(5\frac{3}{4}.\frac{{ - 8}}{9} = \frac{{23}}{4}.\frac{{ - 8}}{9} = \frac{{ - 46}}{9}\);         

b)\(3\frac{3}{4}:2\frac{1}{2} = \frac{{15}}{4}:\frac{5}{2} = \frac{{15}}{4}.\frac{2}{5} = \frac{3}{2}\)        c)\(\frac{{ - 9}}{5}:1,2 = \frac{{ - 9}}{5}:\frac{{ 12}}{10} =\frac{{ - 9}}{5}.\frac{{ 10}}{12}= \frac{{ - 3}}{2}\)        d)\({\left( {1,7} \right)^{2023}}:{\left( {1,7} \right)^{2021}} = {\left( {1,7} \right)^{2023 - 2021}} = {\left( {1,7} \right)^2} = 2,89\).