Solve the Fraction Expression: 3/6 - 1/3 - 1/12 Step-by-Step

Question

$\frac{3}{6}-\frac{1}{3}-\frac{1}{12}=$

00:04 Let's find the solution.

00:07 First, we need the least common denominator.

00:11 So, we'll multiply by two, and by four, to find it.

00:14 Remember, always multiply both the numerator and the denominator.

00:27 Now, let's do the multiplications.

00:37 Subtract under the common denominator.

00:44 Calculate the new numerator.

00:49 And that's how we solve this problem.

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

To find the least common denominator, we need to find a number that is divisible by 6, 3, 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 2

We'll multiply the second fraction by 4

We'll multiply the third fraction by 1

$\frac{3\times2}{6\times2}-\frac{1\times4}{3\times4}-\frac{1\times1}{12\times1}=\frac{6}{12}-\frac{4}{12}-\frac{1}{12}$

Now let's subtract:

$\frac{6-4-1}{12}=\frac{2-1}{12}=\frac{1}{12}$

$\frac{1}{12}$