Solve: 1/2 - 3/8 + 2/4 Fraction Operations Problem

Let's try to find the least common multiple (LCM) between 2, 8, and 4

To find the least common multiple, we need to find a number that is divisible by 2, 8, and 4

In this case, the least common multiple is 8

Now we'll multiply each fraction by the appropriate number to reach the denominator 8

We'll multiply the first fraction by 4

We'll multiply the second fraction by 1

We'll multiply the third fraction by 2

$\frac{1\times4}{2\times4}-\frac{3\times1}{8\times1}+\frac{2\times2}{4\times2}=\frac{4}{8}-\frac{3}{8}+\frac{4}{8}$

Now we'll subtract and then add:

$\frac{4-3+4}{8}=\frac{1+4}{8}=\frac{5}{8}$