Question

estimate the sum.
\\(\frac{3}{7} + \frac{2}{6}\\)
less than \\(\frac{1}{2}\\) greater than \\(\frac{1}{2}\\)

Explanation:

Step1: Simplify the second fraction

$\frac{2}{6} = \frac{1}{3}$

Step2: Compare each fraction to $\frac{1}{2}$

$\frac{3}{7} < \frac{1}{2}$ (since $\frac{3.5}{7} = \frac{1}{2}$), $\frac{1}{3} < \frac{1}{2}$ (since $\frac{1.5}{3} = \frac{1}{2}$)

Step3: Estimate the sum

$\frac{3}{7} + \frac{1}{3} \approx 0.43 + 0.33 = 0.76$, and $0.76 > 0.5$

Answer:

Greater than $\frac{1}{2}$