Question

find the sum and express it in it's lowest terms 3/11 + 2/3=

Answer 1

3/11 + 2/3 is 31/33. It cannot be simplified more.

Answer 2

Answer:

$\frac{31}{33}$

Step-by-step explanation:

You need a common denominator to add.  The smallest number that is divisible by both 11 and 3 is 33.  Rewrite both fractions with a denominator of 33

$\frac{3}{11}$ x $\frac{3}{3}$         $\frac{3}{3}$ is just another name for 1.  We are making an equivalent fraction.  Multiple 3 x3 for the top and 11 x 3 for the bottom to get:

$\frac{9}{33}$

Do the same for $\frac{2}{3}$

$\frac{2}{3}$ x $\frac{11}{11}$       $\frac{11}{11}$ is just another name for 1.  We are making an equivalent fraction.  Multiple 2 x 11 for the top and 3 x 11 for the bottom to get:

$\frac{22}{33}$

Now add these two fractions together:

$\frac{9}{33}$ + $\frac{22}{33}$ = $\frac{31}{33}$