Question

Add 1/4 + 5/14 +6/7 Simplify the answer and write it as a mixed number.​

Answer 1

41/28 = 1 (13/28)

Explanation:

gotta make the denominators the same.

Answer 2

`(41)/(28)` =
`1(13)/(28)`

Explanation:

In order to add fractions, the denominators must all be the same value (the lowest common denominator). The lowest common denominator is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.

Here, the smallest number that all three of the given denominators can perfectly divide into is 28:

28 ÷ 4 = 7

28 ÷ 14 = 2

28 ÷ 7 = 4

Therefore, our lowest common denominator is 28.

The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.

For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:

`(1)/(4)` ×
`(7)/(7)` =
`(7)/(28)`

Therefore, our first term becomes
`(7)/(28)`.

For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:

`(5)/(14)` ×
`(2)/(2)` =
`(10)/(28)`

Therefore, our second term becomes
`(10)/(28)`.

For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:

`(6)/(7)` ×
`(4)/(4)` =
`(24)/(28)`

Therefore, our third term becomes
`(24)/(28)`.

Now that they all have the same denominator, we simply have to add all three together:

`(7)/(28)` +
`(10)/(28)` +
`(24)/(28)` =
`(41)/(28)`

When we simplify this into a mixed number, we get:

`(41)/(28)` =
`1(13)/(28)`