What is the simplified value of #2/9 + 1/2 - 7/8 + 5/6# ?

1 Answer
Shwetank Mauria
May 5, 2016

#2/9+1/2-7/8+5/6=49/72#

Explanation:

To simplify #2/9+1/2-7/8+5/6#, we should first make all denominators equal. For this, we ought to know Least Common Denominator (LCD) of #{9,2,8,6}#, which is #72#.

Hence, #2/9+1/2-7/8+5/6#

= #(2xx8)/(9xx8)+(1xx36)/(2xx36)-(7xx9)/(8xx9)+(5xx12)/(6xx12)#

= #16/72+36/72-63/72+60/72#

= #(16+36-63+60)/72#

= #49/72#

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