Solve: 5/6 - 2/4 - 1/12 | Multiple Fraction Subtraction

Question

5624112= \frac{5}{6}-\frac{2}{4}-\frac{1}{12}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each fraction by 2 and 3 respectively to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:18 Calculate the multiplications
00:33 Add with the common denominator
00:40 Calculate the numerator
00:45 And this is the solution to the question

Step-by-Step Solution

Let's try to find the lowest common denominator between 6 and 4 and 12

To find the lowest common denominator, we need to find a number that is divisible by 6, 4, 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 3

We'll multiply the third fraction by 1

5×26×22×34×31×112×1=1012612112 \frac{5\times2}{6\times2}-\frac{2\times3}{4\times3}-\frac{1\times1}{12\times1}=\frac{10}{12}-\frac{6}{12}-\frac{1}{12}

Now let's subtract:

106112=4112=312 \frac{10-6-1}{12}=\frac{4-1}{12}=\frac{3}{12}

Answer

312 \frac{3}{12}