Complete the equation. Write the sum as a mixed number. 1(7)/(9)+(1)/(5)=(80)/(◻)+(9)/(◻)=◻(◻)/(◻)

Convert to improper fraction: Convert mixed number to improper fraction. 1(7)/9 = 1 + 7/9 = 9/9 + 7/9 = 16/9.Find common denominator: Find a common denominator for 16/9 and 1/5. Common denominator of 9 and 5 is 45. 16/9 = (16*5)/(9*5) = 80/45. 1/5 = (1*9)/(5*9) = 9/45.Add fractions: Add the fractions. 80/45 + 9/45 = (80 + 9)/45 = 89/45.Convert to mixed number: Convert improper fraction to mixed number. 89/45 = 1 whole and 44/45 left over, so it's 1(44)/45.Complete the equation: Complete the equation with the found values. 1(7)/9 + 1/5 = 80/45 + 9/45 = 1(44)/45.

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

\newline

1\frac{7}{9}+\frac{1}{5}=\frac{80}{\Box}+\frac{9}{\Box}=\Box\left(\frac{\Box}{\Box}\right)

Convert to improper fraction: Convert mixed number to improper fraction. $\newline$ $1\frac{7}{9} = 1 + \frac{7}{9} = \frac{9}{9} + \frac{7}{9} = \frac{16}{9}$ .
Find common denominator: Find a common denominator for $\frac{16}{9}$ and $\frac{1}{5}$ . $\newline$ Common denominator of $9$ and $5$ is $45$ . $\newline$ $\frac{16}{9} = \frac{(16\times5)}{(9\times5)} = \frac{80}{45}$ . $\newline$ $\frac{1}{5} = \frac{(1\times9)}{(5\times9)} = \frac{9}{45}$ .
Add fractions: Add the fractions. $\newline$ $\frac{80}{45} + \frac{9}{45} = \frac{80 + 9}{45} = \frac{89}{45}$ .
Convert to mixed number: Convert improper fraction to mixed number. $\frac{89}{45} = 1$ whole and $\frac{44}{45}$ left over, so it's $1\left(\frac{44}{45}\right)$ .
Complete the equation: Complete the equation with the found values. $\newline$ $\frac{1(7)}{9} + \frac{1}{5} = \frac{80}{45} + \frac{9}{45} = \frac{1(44)}{45}$ .