How do you simplify #1/10 + 1/9#?

1 Answer
Meave60
Apr 28, 2016

#1/10+1/9=color(blue)(19/90)#

Explanation:

#1/10+1/9#

In order to add fractions, their denominators must be the same. We accomplish this by finding the least common denominator (LCD). One way to do this is through prime factorization of each denominator.

#10 : 2xx5#

#9 : 3xx3#

This gives the LCD as #2xx5xx3xx3=90#.

Now multiply each fraction by a number that will make both denominators #90#.

#1/10xxcolor(red)(9/9)+1/9xxcolor(red)(10/10)#

Simplify.

#9/90+10/90#

Simplify.

#19/90#

Related questions
See all questions in Addition of Rational Numbers
Impact of this question
3209 views around the world
You can reuse this answer
Creative Commons License