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How do you simplify $\frac{3}{4} + \frac{5}{6}$ $3/4 +5/6$ ?

1 Answer

Oct 3, 2015

Convert each term into a form with the same value in the denominator for both; then add the numerators to get
$XXX \frac{19}{12} = 1 \frac{7}{12}$ $color(white)("XXX")19/12 = 1 7/12$

Explanation:

$\frac{3}{4} = \frac{9}{12}$ $3/4 = 9/12$

$\frac{5}{6} = \frac{10}{12}$ $5/6 = 10/12$

So
$\frac{3}{4} + \frac{5}{6} = \frac{9}{12} + \frac{10}{12}$ $3/4 + 5/6 = 9/12 + 10/12$

$XXXX = \frac{9 + 10}{12}$ $color(white)("XXXX")=(9+10)/12$

$XXXX = \frac{19}{12}$ $color(white)("XXXX")=19/12$

or, as a mixed fraction,
$XXXX = 1 \frac{7}{12}$ $color(white)("XXXX")=1 7/12$

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