# Comparing Fractions

Comparing fractions means that you want to be able to tell if the one fraction is less than, greater than, or equal to another.

We can use symbols like we would with whole numbers.

3 is less than 8 would be written as 3 < 8.

14 is greater than 2 would be written as 14 > 2.

17 is equal to 17 would be written as 17 = 17.

We can do the same thing with

Let's begin with fractions that common denominators.

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We can use symbols like we would with whole numbers.

**Let's Review:**3 is less than 8 would be written as 3 < 8.

14 is greater than 2 would be written as 14 > 2.

17 is equal to 17 would be written as 17 = 17.

We can do the same thing with

**fractions.**Let's begin with fractions that common denominators.

1.)

In this case, you may know the decimal equivalents without much effort.

Now we can see that 0.75 < 0.80. This means that

When the denominators are the same we can simply compare the numerators.

3 > 2, so

2.) 3 > 2, so

When the denominators are not the same, there are several different ways that you can compare.

Now that we have common denominators, we can compare the numerators.

36 > 10, therefore .Furthermore,

3.) **Method 1**:Get common denominators.Now that we have common denominators, we can compare the numerators.

36 > 10, therefore .Furthermore,

Here is another example where the denominators are not the same. Let's look at another method.

When you cross multiply you need to be sure to multiply up! Then write the product at the top of the fraction.

Now we will compare the products. 30 < 72 and therefore

4.) **Method 2**:Use cross products.When you cross multiply you need to be sure to multiply up! Then write the product at the top of the fraction.

Now we will compare the products. 30 < 72 and therefore

Yet another example where the denominators are not the same!

Both fraction simplified to the same thing! So we can say that

5.) **Method 3**:Try simplifying the fractions.Both fraction simplified to the same thing! So we can say that

**Method 4**:Change the fractions to decimals.

In this case, you may know the decimal equivalents without much effort.

Now we can see that 0.75 < 0.80. This means that

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