1. Find `1/2 + 3/4`

Solution:
We will use fraction circles

Here, LCM of 2 and 4 is 4. Convert each fractions into like fractions. So multiply numerator and denominator by the ratio of LCM and denominator of the fraction

`(1)/(2)=(1xx2)/(2xx2)=(2)/(4)`

`(3)/(4)=(3xx1)/(4xx1)=(3)/(4)`

`(2)/(4)`	`2/4`	2 parts of `1/4`
+ `(3)/(4)`	`3/4`	+ 3 parts of `1/4`
`5/4``=1 1/4`	1 `1/4`	5 parts of `1/4`

So, `(1)/(2) + (3)/(4)=1 1/4`

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2. Find `3/4 + 1/4`

Solution:
We will use fraction circles

`(3)/(4)`	`3/4`	3 parts of `1/4`
+ `(1)/(4)`	`1/4`	+ 1 parts of `1/4`
`4/4``=1 `	1	4 parts of `1/4`

So, `(3)/(4) + (1)/(4)=1 `

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3. Find `1 3/4 + 1 2/4`

Solution:
We will use fraction circles

`1(3)/(4)`	1 `3/4`	7 parts of `1/4`
+ `1(2)/(4)`	1 `2/4`	+ 6 parts of `1/4`
`2 5/4``=3 1/4`	1 1 1 `1/4`	13 parts of `1/4`

So, `1 (3)/(4) + 1 (2)/(4)=3 1/4`

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4. Find `1 2/3 + 1 2/3`

Solution:
We will use fraction circles

`1(2)/(3)`	1 `2/3`	5 parts of `1/3`
+ `1(2)/(3)`	1 `2/3`	+ 5 parts of `1/3`
`2 4/3``=3 1/3`	1 1 1 `1/3`	10 parts of `1/3`

So, `1 (2)/(3) + 1 (2)/(3)=3 1/3`

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