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

Video Solution

Solution Steps

00:09 Let's solve this problem together!

00:12 First, multiply each fraction by four and two, to get a common denominator.

00:18 Remember, multiply both the numerator and the denominator. This is important.

00:25 Next, let's calculate the multiplications.

00:37 Now, subtract using the common denominator we found.

00:43 Work out the numerator. You're doing great!

00:47 Remember, any number divided by itself is always one.

00:52 And that is how we solve the question. Well done!

Step-by-Step Solution

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:

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