How do you simplify #1/12+7/9#?

1 Answer
Apr 4, 2018

Answer:

The simplest fraction is #31/27# or an improper fraction 1 #4/27#

Explanation:

To add fractions, first we need to make sure the denominators are equal, and then we can simply add the numerators.

We can use a multiple of the denominators as a common denominator and we can find it by multiplying the denominators with each other.

#12*9=81#

#"1(9)"/81 +"7(12)"/81#

81 is our common denominator and we can modify the numerators by multiplying them with the denominator of the other fraction.

#1*9=9# and #7*12=84#

This gives us #"9+84"/81=93/81#

This can be further simplified by dividing both the numerator and denominator by 3, which leaves us with #"93/3"/"81/3"="31/27# as our final answer.

To express this as an improper fraction, we can use long division and divide 31 with 27 and get a quotient of 1 and a remainder of 4. We can express this in an improper fraction 1 #4/27#