Question

add. simplify if necessary. \\(\frac{5}{7} + \frac{2}{3} = \square \frac{\quad}{\quad}\\) enter the whole number

Explanation:

Step1: Find common denominator

The least common denominator of 7 and 3 is 21.

Step2: Rewrite fractions

$\frac{5}{7} = \frac{5 \times 3}{7 \times 3} = \frac{15}{21}$, $\frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21}$

Step3: Add the fractions

$\frac{15}{21} + \frac{14}{21} = \frac{15 + 14}{21} = \frac{29}{21}$

Step4: Convert to mixed number

$\frac{29}{21} = 1 + \frac{8}{21}$

Answer:

$1\frac{8}{21}$ (the whole number part is 1)