Question

Add. Show Your Work.

1  4/5 + 1  6/10

Subtract. Show Your Work.

2  3/4  - 1  2/8

Answer 1

Hey there :)


`1 (4)/(5) + 1(6)/(10)`

Change mixed fraction into an improper fraction

`(9)/(5) + (16)/(10)`

`(16)/(10)` : are both even numbers, so you can further simplify by dividing by 2

`(16/2)/(10/2) = (8)/(5)`

To add fractions, we need same denominator to proceed. Here we have no problem since both denominators are 5


`(9)/(5)+ (8)/(5) = (9+8)/(5)`

`(17)/(5)`

As a mixed fraction:
`3 (2)/(5)`
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`2 (3)/(4) - 1(2)/(8)`

Let us change the mixed fraction into an improper fraction:

`(11)/(4) - (10)/(8)`

`(10)/(8)` : You can further simplify this since both are divisible by 2

`(10/2)/(8/2) = (5)/(4)`

We have the same denominator set for subtraction, so you do not have to find common denominators

`(11)/(4)- (5)/(4) = (11-5)/(4)`

`(6)/(4)`

As a mixed fraction:
`1(2)/(4) = 1(1)/(2)`