Solve: 4/6 - 1/3 - 1/12 Fraction Subtraction Problem

Question

4613112= \frac{4}{6}-\frac{1}{3}-\frac{1}{12}=

Video Solution

Solution Steps

00:06 Let's tackle this problem together!
00:09 First, we need to find the least common denominator.
00:13 So, multiply each fraction's denominator by 2 and 4 respectively.
00:19 Don't forget, multiply both the numerator and the denominator.
00:25 Now, let's perform these multiplications.
00:36 Next, subtract under the new common denominator.
00:40 Then, calculate the new numerator.
00:48 We'll reduce the fraction as much as possible.
00:52 Remember, divide both the numerator and denominator evenly.
00:57 And that's how we solve the question! Great job!

Step-by-Step Solution

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

To find the lowest 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

4×26×21×43×41×112×1=812412112 \frac{4\times2}{6\times2}-\frac{1\times4}{3\times4}-\frac{1\times1}{12\times1}=\frac{8}{12}-\frac{4}{12}-\frac{1}{12}

Now let's subtract:

84112=4112=312 \frac{8-4-1}{12}=\frac{4-1}{12}=\frac{3}{12}

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

3:312:3=14 \frac{3:3}{12:3}=\frac{1}{4}

Answer

14 \frac{1}{4}