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.Add Fractions: Add fractions 16/9 and 1/5. Find common denominator, which is 45. 16/9 = (16*5)/(9*5) = 80/45. 1/5 = (1*9)/(5*9) = 9/45. 80/45 + 9/45 = 89/45.Convert to Mixed Number: Convert improper fraction to mixed number. 89/45 = 1 44/45.Identify Common Denominator: Identify the common denominator in the equation. 1(7)/9 + 1/5 = 1 44/45 = (80)/◻ + (9)/◻. The common denominator is 45.Complete the Equation: Complete the equation. 1(7)/9 + 1/5 = 1 44/45 = (80)/45 + (9)/45 = 45.

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Precalculus

Operations with rational exponents

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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}{\square}+\frac{9}{\square}=\square \frac{\square}{\square}

Convert to Improper Fraction: Convert mixed number to improper fraction. $\newline$ $1\frac{7}{9} = 1 + \frac{7}{9} = \frac{9}{9} + \frac{7}{9} = \frac{16}{9}$ .
Add Fractions: Add fractions $\frac{16}{9}$ and $\frac{1}{5}$ . Find common denominator, which is $45$ . $\frac{16}{9} = \frac{(16\times5)}{(9\times5)} = \frac{80}{45}$ . $\frac{1}{5} = \frac{(1\times9)}{(5\times9)} = \frac{9}{45}$ . $\frac{80}{45} + \frac{9}{45} = \frac{89}{45}$ .
Convert to Mixed Number: Convert improper fraction to mixed number. $\frac{89}{45} = 1 \frac{44}{45}.$
Identify Common Denominator: Identify the common denominator in the equation. $\newline$ $\frac{1(7)}{9} + \frac{1}{5} = 1 \frac{44}{45} = \frac{80}{\square} + \frac{9}{\square}$ . $\newline$ The common denominator is $45$ .
Complete the Equation: Complete the equation. $\newline$ $\frac{1(7)}{9} + \frac{1}{5} = 1 \frac{44}{45} = \frac{80}{45} + \frac{9}{45} = \frac{89}{45}$ .