Question

(\frac{1}{2}+\frac{5}{7}) (\frac{1}{2}+\frac{5}{7}=\frac{7}{14}+\frac{10}{14}=\frac{17}{14}=square\frac{square}{square})

Explanation:

Step1: Find common denominator

The least common denominator of 2 and 7 is 14. Convert each fraction:
$\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}$, $\frac{5}{7} = \frac{5 \times 2}{7 \times 2} = \frac{10}{14}$

Step2: Add the converted fractions

Add the numerators over the common denominator:
$\frac{7}{14} + \frac{10}{14} = \frac{7 + 10}{14} = \frac{17}{14}$

Step3: Convert to mixed number

Divide 17 by 14: $17 = 14 \times 1 + 3$, so $\frac{17}{14} = 1\frac{3}{14}$

Answer:

$1\frac{3}{14}$