How do you add 6 3/4 + 5 1/8?

1 Answer
Nov 26, 2016

Answer:

#95/8# or #11 7/8#

Explanation:

First, we need to take these mixed fractions and convert them into improper fractions:

#6 3/4 => ((6*4) + 3)/4 => (24 + 3)/4 => 27/4#

and

#5 1/8 => ((5*8) + 1)/8 => (40 + 1)/8 => 41/8#

We can now restate the problem as:

#27/4 + 41/8#

We now need to get both fractions over a common denominator, in this case #8#, by multiplying the first fraction by the appropriate form of #1#:

#(2/2 * 27/4) + 41/8 => 54/8 + 41/8 => 95/8#

We can convert this to a mixed fraction if necessary by dividing 95 by 8 which is 11 with a remainder of 7 which can be written as #11 7/8#