How do you simplify #7/8 + 5/6#?

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Answer 1 · 2017-05-20T10:30:22

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A common method to solving this is to make the fractions have the same denominator for simpler addition.

This is done by multiplying as such:

#color(red)(6/6)(7/color(blue)8) + (5/color(red)6)color(blue)(8/8)#

Note that I have multiplied each fraction with a fraction that has the same numerator and denominator as the other fraction.

By multiplying #6/6# and #8/8#, the fractions have not changed. Since #6/6# and #8/8# are equal to #1# respectively.

#color(red)(6/6)(7/color(blue)8) + (5/color(red)6)color(blue)(8/8)#

#=42/48 + 40/48#

#=82/48#

Simplifying the fraction,

#= (82/48) div 2/2#

#= 41/24# or #1 17/24#