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

2 Answers
May 9, 2018

Answer:

#13/18#

Explanation:

To simplify these fractions, you first need a common denominator. We can use the LCM of #9# and #2#, which is #18#.

#2/9=(2 " x " 2)/(9 " x " 2)=4/18#

#1/2=(1 " x " 9)/(2 " x " 9)=9/18#

Finally add your fractions together:

#4/18+9/18=color(red)(13/18)#

Because #13/18# can not be simplified any further (as #13# is prime), this is your final answer.

May 9, 2018

Answer:

#13/18#

Explanation:

Firstly, you have to find the least common denominator between the two fractions. The lcd is 18 since 9 can be multiplied by 2 to get 18, and 2 can be multiplied by 9 to get 18. You must then multiply the numerator by the number you multiplied the denominator of the same fraction. Doing this you get:
#4/18#+#9/18#=#13/18#
This cannot be reduced any further, therefore #13/18# is your answer.