How do you simplify #5 7/8 + 3 5/12#?

1 Answer
Mar 22, 2018

Answer:

#9color(white)(,) 7/24#

Explanation:

Split it into 2 parts.

#color(green)(color(blue)("Part 1: ")->5+3=8)#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(blue)("Part 2: ")->7/8+5/12#

You can not DIRECTLY add or subtract fractions unless the bottom numbers (denominators) are the same.

Multiply by 1 and you do not change the value. However, 1 comes in many forms

#color(green)( [7/8color(red)(xx1)]+[5/12color(red)(xx1)] color(white)("dddd")->color(white)("dddd") [7/8color(red)(xx3/3)]+[5/12color(red)(xx2/2)] )#

#color(green)(color(white)("ddddddddddddddddddddd")->color(white)("dddd")[color(white)("d") 21/24color(white)("d")]color(white)("d")+color(white)("d")[color(white)("d")10/24color(white)("d")] )#

#color(green)(color(white)("ddddddddddddddddddddd")->color(white)("dddd")31/24color(white)("dd")=color(white)("d")1 7/24#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Putting together Part1 and Part 2")#

#color(white)("dddddddddddddddd")8+1 7/24color(white)("d") = color(white)("d")9 7/24#