Given the expression
[tex]1\frac{4}{9}\text{ + }t\text{ +}2\frac{2}{9},\text{ when t = }3\frac{1}{3}[/tex]
Substitute for the value of t, we have
[tex]1\frac{4}{9}\text{ + 3}\frac{1}{3}\text{ +}2\frac{2}{9}[/tex]
Solving the above expression using the properties of operation
Step 1:
Convert all mixed fractions into improper fractions.
[tex]\begin{gathered} 1\frac{4}{9}\text{ + 3}\frac{1}{3}\text{ +}2\frac{2}{9} \\ \Rightarrow\frac{(9\times1)+4}{9}\text{ + }\frac{(3\times3)+1}{3}+\frac{(9\times2)+2}{9} \\ =\frac{13}{9}+\frac{10}{3}+\frac{29}{9} \end{gathered}[/tex]
Step 2:
Take LCM (Least Common Multiple) of the denominators, and solve using the LCM as the common denominator.
[tex]\begin{gathered} \text{LCM = 9} \\ \text{Thus,} \\ \frac{13}{9}+\frac{10}{3}+\frac{29}{9} \\ =\frac{13\text{ + 30 + 20}}{9} \\ =\frac{63}{9} \\ =7 \end{gathered}[/tex]
Hence, the solution to the above expression is 7.
