[tex] \dfrac{(2 \frac{5}{6}+1.75) \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6} [/tex]
First, do the one between the parenthesis, change the fraction into improper fraction and equalize the denominators
[tex]= \dfrac{(\frac{17}{6}+ \frac{175}{100} ) \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6} [/tex]
[tex]= \dfrac{(\frac{1700}{600}+ \frac{1050}{600} ) \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6}[/tex]
[tex]= \dfrac{\frac{2750}{600} \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6}[/tex]
[tex]= \dfrac{\frac{275}{60} \times 0.14 }{2 \frac{1}{3} \times 1.1 : 1.6}[/tex]
Do the multiplication on the numerator, change 0.14 into proper fraction
[tex]= \dfrac{\frac{275}{60} \times \frac{14}{100} }{2 \frac{1}{3} \times 1.1 : 1.6}[/tex]
[tex]= \dfrac{\frac{3850}{6000}}{2 \frac{1}{3} \times 1.1 : 1.6}[/tex]
simplify
[tex]= \dfrac{\frac{77}{120}}{2 \frac{1}{3} \times 1.1 : 1.6}[/tex]
do the multiplication on the denominators, change the fraction into proper/improper fraction
[tex]= \dfrac{\frac{77}{120}}{\frac{7}{3} \times \frac{11}{10} : 1.6}[/tex]
[tex]= \dfrac{\frac{77}{120}}{\frac{77}{30} : 1.6}[/tex]
do the division, change decimal fraction into improper fraction
[tex]= \dfrac{\frac{77}{120}}{\frac{77}{30} : \frac{16}{10} }[/tex]
and turn the division into multiplication
[tex]= \dfrac{\frac{77}{120}}{\frac{77}{30} \times \frac{10}{16} }[/tex]
[tex]= \dfrac{\frac{77}{120}}{\frac{770}{480}}[/tex]
simplify
[tex]= \dfrac{\frac{77}{120}}{\frac{77}{48}}[/tex]
turn division of fraction into multiplication of fraction
[tex]= \frac{77}{120}:\frac{77}{48}[/tex]
[tex]= \frac{77}{120} \times\frac{48}{77}[/tex]
[tex]= \frac{48}{120}[/tex]
simplify the result
[tex]= \frac{4}{10}[/tex]
= 0.4
The result is 0.4
