What is #7/27+1/18+3/10#?

1 Answer
EZ as pi
Aug 8, 2016

=#83/135#

Explanation:

#7/27+1/18+3/10#

The first step is to find the LCD.... These are not comfortable numbers, let's use prime factors:

#27 = color(white)(2xx)3xx3xx3#
#18 = 2xx3xx3#
#10 = 2color(white)(xx3xx3xx3)xx5#

#LCD = 2xx3xx3xx3xx5 = 270#

Alternatively we could have realised that the factors of 18 #(2xx3xx3)# are already in 27 and 10 (which do not have a common factor), so the LCD is #27 xx10#

#7/27+1/18+3/10#

=#(70 +15+81)/270#

=#166/270#

=#83/135#

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