Solve the Fraction Equation: 4/2 - 6/8 - 1/4

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 a denominator of 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

$\frac{4\times4}{2\times4}-\frac{6\times1}{8\times1}-\frac{1\times2}{4\times2}=\frac{16}{8}-\frac{6}{8}-\frac{2}{4}$

Now let's subtract:

$\frac{16-6-2}{8}=\frac{10-2}{8}=\frac{8}{8}$

We'll solve the fraction in the following way:

$\frac{8}{8}=\frac{1}{1}=1$