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

Complete the equation. Write the sum as a mixed number.\newline179+15=80□+9□=□□□ 1 \frac{7}{9}+\frac{1}{5}=\frac{80}{\square}+\frac{9}{\square}=\square \frac{\square}{\square}

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Full solution

Q. Complete the equation. Write the sum as a mixed number.\newline179+15=80□+9□=□□□ 1 \frac{7}{9}+\frac{1}{5}=\frac{80}{\square}+\frac{9}{\square}=\square \frac{\square}{\square}
  1. Convert to Improper Fraction: Convert mixed number to improper fraction.\newline179=1+79=99+79=1691\frac{7}{9} = 1 + \frac{7}{9} = \frac{9}{9} + \frac{7}{9} = \frac{16}{9}.
  2. Add Fractions: Add fractions 169\frac{16}{9} and 15\frac{1}{5}. Find common denominator, which is 4545. 169=(16×5)(9×5)=8045\frac{16}{9} = \frac{(16\times5)}{(9\times5)} = \frac{80}{45}. 15=(1×9)(5×9)=945\frac{1}{5} = \frac{(1\times9)}{(5\times9)} = \frac{9}{45}. 8045+945=8945\frac{80}{45} + \frac{9}{45} = \frac{89}{45}.
  3. Convert to Mixed Number: Convert improper fraction to mixed number. 8945=14445.\frac{89}{45} = 1 \frac{44}{45}.
  4. Identify Common Denominator: Identify the common denominator in the equation. \newline1(7)9+15=14445=80□+9□\frac{1(7)}{9} + \frac{1}{5} = 1 \frac{44}{45} = \frac{80}{\square} + \frac{9}{\square}.\newlineThe common denominator is 4545.
  5. Complete the Equation: Complete the equation.\newline1(7)9+15=14445=8045+945=8945\frac{1(7)}{9} + \frac{1}{5} = 1 \frac{44}{45} = \frac{80}{45} + \frac{9}{45} = \frac{89}{45}.

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