How do you simplify $\frac{7}{8} + \frac{11}{14} - \frac{5}{6}$ $7/8 + 11/14 -5/6$ ?

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How do you simplify $\frac{7}{8} + \frac{11}{14} - \frac{5}{6}$ $7/8 + 11/14 -5/6$ ?

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Answer 1 · 2018-05-02T07:23:18

$\frac{139}{168}$ $139/168$

Explanation:

In order to add or subtract fractions you have to have the same denominator:

Let's use prime factors to find the $L C M$ $LCM$ . It is not an obvious one.

$8 = 2 \times 2 \times 2$ $" "8 = 2xx2xx2$
$6 = 2 x . \times \times \times 3$ $" "6 = 2 color(white)(x.xxxx)xx3$
$" "14 = ul(2color(white)(x.xxxxxxx)xx7)$
$LCM = 2xx2xx2xx3xx7 = 168$

$7/8+11/14-5/6$

$(7/8 xx 21/21)+(11/14 xx12/12)-(5/6xx28/28)$

$=(147+132-140)/168$

$=139/168$

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How do you simplify $\frac{7}{8} + \frac{11}{14} - \frac{5}{6}$ $7/8 + 11/14 -5/6$ ?

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How do you simplify $\frac{7}{8} + \frac{11}{14} - \frac{5}{6}$ $7/8 + 11/14 -5/6$ ?