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

Answer:

Refer explanation below.

Step-by-step 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,

$\frac{1}{2}+\frac{1}{4}$  and $\frac{1}{2}+\frac{1}{3}$

We have to show how we solve them differently.

Considering the first expression,

$\frac{1}{2}+\frac{1}{4}$

Here we can apply the inverse of distributive property,

taking $\frac{1}{2}$ common from the fraction, We get

$\Rightarrow \frac{1}{2}(1+\frac{1}{2})$

$\Rightarrow \frac{1}{2}(\frac{2+1}{2})$

$\Rightarrow \frac{1}{2}(\frac{3}{2})$

$\Rightarrow \frac{3}{4}$

Now consider the second expression,

$\frac{1}{2}+\frac{1}{3}$

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

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

$\frac{3+2}{6}=\frac{5}{6}$

Thus, We can solve the two fraction differently.