How do you add #10\frac { 1} { 8}+ 2\frac { 5} { 8}#?

2 Answers
Tony B
Mar 13, 2017

#12 3/4#

Explanation:

Write as:#" "10+2+1/8+5/8#

#" "12+(1+5)/8#

#" "12+6/8#

#" "12+(6-:2)/(8-:2)#

#" "12+ 3/4 = 12 3/4#

Jim G.
Mar 13, 2017

#12 3/4#

Explanation:

One way is to separate the whole numbers from the fractions.

#color(blue)"Note"#

#10 1/8=10+1/8" and "2 5/8=2+5/8#

#rArr10 1/8+2 5/8#

#=(10+2)+(1/8+5/8)#

Since both fractions have a #color(blue)"common denominator"# of 8 we can add the numerators leaving the denominator as it is.

#=12+(1+5)/8#

#=12+6/8=12 6/8#

#6/8# may be simplified by dividing the numerator/denominator
by 2

#rArr6/8=(6-:2)/(8-:2)=3/4larrcolor(red)" in simplest form"#

#"or by " color(blue)"cancelling " cancel(6)^3/cancel(8)^4=3/4 #

#rArr12 6/8#

#=6 3/4#

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