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QUESTION IMAGE

select the correct solution for the expression. \\(\\frac{2}{5} + \\fra…

Question

select the correct solution for
the expression.
\\(\frac{2}{5} + \frac{3}{8}\\)
(1 point)
\\(\bigcirc\\) \\(\frac{2}{5} + \frac{3}{8} = \frac{5}{13}\\)
\\(\bigcirc\\) \\(\frac{16}{40} + \frac{15}{40} = \frac{31}{40}\\)
\\(\bigcirc\\) \\(\frac{10}{40} + \frac{24}{40} = \frac{35}{40}\\)
\\(\bigcirc\\) \\(\frac{2}{5} + \frac{3}{8} = \frac{6}{40}\\)

Explanation:

Step1: Find common denominator

The least common denominator of 5 and 8 is 40.

Step2: Convert fractions

$\frac{2}{5} = \frac{2×8}{5×8} = \frac{16}{40}$, $\frac{3}{8} = \frac{3×5}{8×5} = \frac{15}{40}$

Step3: Add numerators

$\frac{16}{40} + \frac{15}{40} = \frac{16+15}{40} = \frac{31}{40}$

Answer:

B. $\frac{16}{40} + \frac{15}{40} = \frac{31}{40}$