Question

Add the following fractions: 5/16 + 3/8 + 1/4 = Add the following fractions: 1/2 + 2/4 + 6/12 =

Answer 1

1.
`(15)/(16)`

2.
`(3)/(2)` or
`1 (1)/(2)`

Explanation:

Question 1:

Since the first number's denominator is 16, and all the other number's denominators are factors of it, we have to make it so all the denominators are 16.

`(5)/(16)` - no change

`(3)/(8)` - multiply both the numerator and denominator by 2 to get
`(6)/(16)`

`(1)/(4)` - multiply both the numerator and denominator by 4 to get
`(4)/(16)`

Add all of them together:

`(5)/(16) + (6)/(16) + (4)/(16)`

Now, add only the top of each fraction together, not the bottom.

`(5)/(16) + (6)/(16) + (4)/(16) = (15)/(16)`

Question 2

All the fractions can simplify to a fraction with a denominator of 2, since both the numerator and denominator of them are multiples of 2.

`(1)/(2)` - no change

`(2)/(4)` - divide both the numerator and denominator by 2 to get
`(1)/(2)`

`(6)/(12)` - divide both the numerator and denominator by 6 to get
`(1)/(2)`

Add all of them together:

`(1)/(2) + (1)/(2) + (1)/(2)`

Now, add only the top of each fraction together, not the bottom.

`(1)/(2) + (1)/(2) + (1)/(2) = (3)/(2)` or
`1 (1)/(2)`

Hope this helps!