What is the value of 2/3 + 3/7?

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

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`

kingattaskus12's profile pic

kingattaskus12 | (Level 3) Adjunct Educator

Posted on


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`  

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

2 / 3 + 3 / 7

Cross multiply the numerators by the denominators to get, and multiply the denominators : 

14 + 9
--------
     21

Add. 

23 / 21

Simplify if possible and / or necessary. In this case, its impossible to simplify this answer any further.  

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`2/3 + 3/7 `

find a multiple both 7 and 3 have in common. Which would be 21, now multiply both the top number and  the bottom number by the same factor .

`2/3 xx 7/7 = (14)/(21) `

`3/7 xx 3/3 = 9/(21) `

add the two numbers

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

and that's the answer

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