Complete the equation. Write the sum as a mixed number. 2(1)/(2)+(8)/(9)=(45)/(◻)+(16)/(◻)=◻(◻)/(◻)

Convert to improper fraction: Convert the mixed number to an improper fraction. 2(1)/(2) = (2*2 + 1)/2 = 5/2.Add fractions: Add the improper fraction to the other fraction. 5/2 + 8/9. To add, find a common denominator. The least common multiple of 2 and 9 is 18. 5/2 = (5*9)/(2*9) = 45/18. 8/9 = (8*2)/(9*2) = 16/18. Now, add the fractions: 45/18 + 16/18 = 61/18.Convert to mixed number: Convert the improper fraction 61/18 to a mixed number. 61/18 = 3 remainder 7, so it's 3(7)/(18).Fill in blanks: Fill in the blanks in the original equation. 2(1)/(2) + (8)/(9) = (45)/(18) + (16)/(18) = 3(7)/(18).

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Q. Complete the equation. Write the sum as a mixed number.

\newline

2 \frac{1}{2}+\frac{8}{9}=\frac{45}{\square}+\frac{16}{\square}=\square \frac{\square}{\square}

Convert to improper fraction: Convert the mixed number to an improper fraction. $\newline$ $2\frac{1}{2}$ = $\frac{2\times 2 + 1}{2}$ = $\frac{5}{2}$ .
Add fractions: Add the improper fraction to the other fraction. $\newline$ $\frac{5}{2} + \frac{8}{9}$ . $\newline$ To add, find a common denominator. The least common multiple of $2$ and $9$ is $18$ . $\newline$ $\frac{5}{2} = \frac{(5\times9)}{(2\times9)} = \frac{45}{18}$ . $\newline$ $\frac{8}{9} = \frac{(8\times2)}{(9\times2)} = \frac{16}{18}$ . $\newline$ Now, add the fractions: $\frac{45}{18} + \frac{16}{18} = \frac{61}{18}$ .
Convert to mixed number: Convert the improper fraction $\frac{61}{18}$ to a mixed number. $\newline$ $\frac{61}{18} = 3$ remainder $7$ , so it's $3\left(\frac{7}{18}\right)$ .
Fill in blanks: Fill in the blanks in the original equation. $\newline$ $2\left(\frac{1}{2}\right) + \frac{8}{9} = \frac{45}{18} + \frac{16}{18} = 3\left(\frac{7}{18}\right)$ .