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Evaluate the following:
$\frac{5}{8}$+$\frac{2}{7}$+$\frac{5}{8}$
Given:$\frac{5}{8}$+$\frac{2}{7}$+$\frac{5}{8}$
To do: Evaluate the given expression.
Solution:
$\frac{5}{8}$+$\frac{2}{7}$+$\frac{5}{8}$
Taking LCM of 7 and 8, denominators of the fractions.
LCM = $7 \times 8 = 56$
Making the fractions like fractions so that they can be added
=$\frac{5\times7}{8\times7} +\frac{2\times8}{7\times8} + \frac{5\times7}{8\times7}$
=$\frac{35}{56} + \frac{16}{56} + \frac{35}{56}$
= $\frac{35 + 16 + 35}{56}$
=$ \frac{86}{56}$
= $\frac{43}{28}$
So the answer is $\frac{43}{28}$
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