Question

How is 1/2+1/4 solved differently than 1/2+1/3?

Answer 1

well 1/2 plus 1/3 would have more overall rather than 1/2+1/4 simply because 1/3 is bigger than 1/2

Answer 2

Refer explanation below.

Explanation:

For two integers a and b, denoted LCM(a,b), the LCM is the smallest integer that is divisible by both a and b.

Distributive property:
`a(b+c)=ab+ac`

We are given two expression,

`(1)/(2)+(1)/(4)` and
`(1)/(2)+(1)/(3)`

We have to show how we solve them differently.

Considering the first expression,

`(1)/(2)+(1)/(4)`

Here we can apply the inverse of distributive property,

taking
`(1)/(2)` common from the fraction, We get

`\Rightarrow (1)/(2)(1+(1)/(2))`

`\Rightarrow (1)/(2)((2+1)/(2))`

`\Rightarrow (1)/(2)((3)/(2))`

`\Rightarrow (3)/(4)`

Now consider the second expression,

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

Take least common factor of denominator that is 2 and 3.

LCM(2,3) = 6 , we get,

`(3+2)/(6)=(5)/(6)`

Thus, We can solve the two fraction differently.