Extracting fractions step by step

Subtracting fractions is a fairly common mathematical operation. However, the very fact that you have to calculate with fractions can make the task more difficult. Let's take a step-by-step look at how to subtract fractions!

These things you need to know before extracting fractions

Before you start extracting fractions, you should recall the parts of the fractures and the the expansion of fractures. And if the fractions additionvia you should have no problem with subtraction.

I will now show you in detail how fractions are extracted in which cases.

Subtraction of fractions with the same denominator

The easiest way is to subtract fractions with the same denominator.

Fractions with the same denominator are subtracted by moving the numerators from left to right and leaving the denominator unchanged.

To make it clearer, I will show you an example:

There is nothing else to do but subtract the counters (from left to right) and do nothing with their denominators!

You'd basically be done, but solving a fractional problem is perfect, simplify at the end (if possible):

Subtraction of fractions with different denominators

Basically, subtracting fractions with different denominators is not difficult. You only need to do one step more than the previous one: common ground you must bring the fractions!

Fractions with different denominators are subtracted from each other by first bringing them to a common denominator, then subtracting their numerators from left to right, leaving their denominators unchanged.

Let's look at an example of this:

First, we bring them together:

Then subtract the numerators from each other as before, leaving the denominator unchanged:

Since we can't simplify, we can subtract the fractions and be done with it.

Subtract a fraction and a whole number

Basically, it makes no difference whether you need to subtract an integer from a fraction or a fraction from an integer. It doesn't change the point, the method is the same.

In this case, the method is the same as above. There is one trick to subtracting the fraction and the integer, and that is convert the integer into a fraction such that its denominator is equal to the fraction.

So you can do the task this way:

A fraction and an integer are subtracted from each other by converting the integer to a fraction so that its denominator is the same as the fraction.

Then subtract the numerators from each other from left to right, leaving the denominator unchanged.

It will be clear in a moment:

In this case you need to convert the 2 integers into thirds:

After that, all you have to do is extract the two fractions from each other:

If you can, simplify at the end! That's not possible here, so we've already done it by subtracting the whole number and the fraction.