What is the sum of #5/6+7/8#?

1 Answer
Nov 29, 2016

#41/24#

Explanation:

To add fractions ,same denominator is required.
#" "#
Same denominator is the least non-zero common multiple of the
#" "#
given denominator #6" " and " "8#.
#" "#
#" "#
We can list the multiples of each number then select the least
#" "#
non-zero common multiple .
#" "#
#" "#
Multiples of #" "6:#
#" "#
#0," "12," "18," "24," "30#
#" "#
Multiples of #" "8:#
#" "#
#0," "8," "16," "24....#
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Once you reach the first non-zero common multiple, no need to
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compute all multiples.
#" "#
#" "#
#L.C.M(6,8)=24#
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#" "#
Let us find the sum:
#" "#
#5/6 + 7/8#
#" "#
#=(5xx4)/(6xx4) +(7xx3)/(8xx3)#
#" "#
#=20/24 + 21/24#
#" "#
#=41/24#