Question

Perform the operation(s) and write the answer in simplest form. 3/7 +5/14

Answer 1

3/7+5/14
6/14+5/14
11/14

11/14 is already in the simplest form.
Hope it helps.

Answer 2

In order to add fractions, both fractions must have the same denominator.
A denominator is the lower number of a fraction.
In the fraction
`(3)/(7)`, the denominator is 7.
In the fraction
`(3)/(7)`, the denominator is 14.

Since 7 ≠ 14, you must find the LCM (least common multiple) of 7 and 14.
To do this, list the multiples of 7 and 14 separately until you find one that both numbers share.
7 • 1 = 7
7 • 2 = 14
14 • 1 = 14
The LCM of 7 and 14 is 14.

This means that the common denominator that these fractions will be converted to fit will be 14.
Since 7 • 2 = 14, which is what the denominator needs to be, you must also multiply the numerator, or upper number of the fraction, by 2.
3 • 2 = 6

`(3)/(7)` =
`(6)/(14)`

`(6)/(14)` and
`(5)/(14)` now have common denominators and you can add them together!

To add fractions with common denominators, simply add the numerators and the denominator stays the same.

`(6)/(14)` +
`(5)/(14)` =
`(6 + 5)/(14)`
6 + 5 = 11

`(11)/(14)` is sum of
`(6)/(14)`, which is an equivalent fraction to
`(3)/(7)`, and
`(5)/(14)`.

Hope this helps!