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To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 21. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.

`= 2/3 *(7/7)+3/7*(3/3)`


Complete the multiplication to produce a denominator of 21 in each expression.

`=14/21 + 9/21`


Add 9 to 14 to get 23.

`=23/21`  

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To find the value of `2/3 + 3/7` first rewrite as equivalent fractions with the same denominator.

The lowest common denominator is 21, which is the lest common multiple of 3 and 7.

`2/3 = x/21` ,  x = 14

`3/7 = y/21` ,  y = 9

Now add together `14/21 + 9/21` by adding the numerators and keeping the same denominator.

`14/21 + 9/21 = 23/21`

The value of `2/3 + 3/7`  is `23/21`

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