$\frac{ 26 }{ 5 }+2.1\div\left( 4.5-4 \frac{ 1 }{ 7 } \right)$
Convert the decimal into a fraction$\frac{ 26 }{ 5 }+\frac{ 21 }{ 10 }\div\left( 4.5-4 \frac{ 1 }{ 7 } \right)$
Convert the decimal into a fraction$\frac{ 26 }{ 5 }+\frac{ 21 }{ 10 }\div\left( \frac{ 9 }{ 2 }-4 \frac{ 1 }{ 7 } \right)$
Convert the mixed number to an improper fraction$\frac{ 26 }{ 5 }+\frac{ 21 }{ 10 }\div\left( \frac{ 9 }{ 2 }-\frac{ 29 }{ 7 } \right)$
Subtract the fractions$\frac{ 26 }{ 5 }+\frac{ 21 }{ 10 }\div\frac{ 5 }{ 14 }$
To divide by a fraction, multiply by the reciprocal of that fraction$\frac{ 26 }{ 5 }+\frac{ 21 }{ 10 } \times \frac{ 14 }{ 5 }$
Cancel out the greatest common factor $2$$\frac{ 26 }{ 5 }+\frac{ 21 }{ 5 } \times \frac{ 7 }{ 5 }$
Multiply the fractions$\frac{ 26 }{ 5 }+\frac{ 147 }{ 25 }$
Add the fractions$\begin{align*}&\frac{ 277 }{ 25 } \\&\begin{array} { l }11 \frac{ 2 }{ 25 },& 11.08\end{array}\end{align*}$