How do you solve #\frac { 8} { 9} + \frac { 11} { 12}#?

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Answer 1 · 2018-03-07T05:24:26

#color(blue)(= 65 / 36 = 1 (29/36) ~~ 1.8#

To solve #8/9 + 11/12#

First we have to find the L C M of 9 & 12.

For that, we have to find their factors and remove the duplicates.

#9 = 3 * color(red)(3#, #12 = 2 * 2 * color(red)(3#

As one #color(red)(3# is common in both,

#L C M = 3 * color(red)(3) * 2 * 2 * cancel(color(red)(3)) = 36#

#8/9 + 11 / 12 = (8 * 4) / (9 * 4) + (11 * 3) / (12 * 3)#

#=> =( (8 * 4) + (11 * 3)) / 36# as Denominator of both the terms are the same.

#=> (32 + 33) / 36 color(blue)(= 65 / 36 = 1 (29/36)#