Solve 2/3 - 1/6 - 3/12: Complete Fraction Subtraction Guide

Let's try to find the least common denominator between 3, 6, and 12

To find the least common denominator, we need to find a number that is divisible by 3, 6, and 12

In this case, the common denominator is 12

Now we'll multiply each fraction by the appropriate number to reach the denominator 12

We'll multiply the first fraction by 4

We'll multiply the second fraction by 2

We'll multiply the third fraction by 1

$\frac{2\times4}{3\times4}-\frac{1\times2}{6\times2}-\frac{3\times1}{12\times1}=\frac{8}{12}-\frac{2}{12}-\frac{3}{12}$

Now let's subtract:

$\frac{8-2-3}{12}=\frac{6-3}{12}=\frac{3}{12}$

Let's divide both numerator and denominator by 3 and we get:

$\frac{3:3}{12:3}=\frac{1}{4}$