How do you add #2\frac { 3} { 10} + 9\frac { 4} { 5}#?

1 Answer
Suren Abreu
Jul 11, 2017

#121/10# or #12 1/10#

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 3/10+9 4/5#

#=>2 3/10=23/10# and #9 4/5=49/5#

So now we have:

#23/10+49/5#

In order to add them, the two denominators should be the same, so we multiply the numerator and denominator of the second fraction by the same number to maintain the fraction value while getting the required denominator.

#=>49/5xx2/2=98/10#

Now we have:

#23/10+98/10=(23+98)/10=121/10=12 1/10#

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