How do you simplify #9 9/11 + 4 1/2#?

Question

1281 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-07T23:04:38

See a solution process below:

First, we need to convert the mixed numbers to improper fractions:

#9 9/11 + 4 1/2 => (9 + 9/11) + (4 + 1/2) =>#

#((11/11 xx 9 + 9/11) + ((2/2 xx 4) + 1/2) =>#

#(99/11 + 9/11) + (8/2+ 1/2) => 108/11 + 9/2#

Next, we need to put the fractions over a common denominator so we can add the numerators:

#(2/2 xx 108/11) + (11/11 xx 9/2) => 216/22 + 99/22 =>#

#315/22#

Now, we can convert this improper fraction to a mixed number:

#(308 + 7)/22 => 308/22 + 7/22 => 14 + 7/22 =>#

#14 7/22#