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

4 Answers | Add Yours

Top Answer

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

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

We’ve answered 319,635 questions. We can answer yours, too.

Ask a question