How do you add #2\frac { 1} { 5} + 9\frac { 1} { 2}#?

1 Answer
Suren Abreu
Jul 11, 2017

#117/10# or #11 7/10#

Explanation:

We first convert both the mixed fractions into improper fractions by multiplying the whole number with the denominator and adding it to the numerator and placing it over the same denominator.

#2 1/5+9 1/2#

#=>2 1/5=11/5# and #9 1/2=19/2#

So now we have:

#11/5+19/2#

In order to add them, the two denominators should be the same, so we first determine the LCM of the denominators.

#5-=5, 10#

#2-=2, 4, 6, 8, 10#

Now that we know the LCM, we multiply the numerator and denominator of each fraction by the same number to maintain the fraction value while getting the required denominator.

#=>11/5xx2/2=22/10#

#=>19/2xx5/5=95/10#

Now we have:

#22/10+95/10=(22+95)/10=117/10=11 7/10#

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