In mathematics, comparing fractions involves a procedure in which a larger or a smaller fraction is determined among the given fractions. There are many ways to compare fractions.
The best method is using the advanced comparing fractions calculator, a tool that is particularly developed for this purpose. The AI-powered algorithms in the back end help the calculator compare fractions in seconds, with 100% accuracy.
Tips to Compare Fractions:
You can compare two or more fractions in many ways. Some of these include the following:
Comparing Fractions with Like Denominators:
When comparing fractions with like denominators, then keep in mind the fraction with the greater numerator is always greater and vice versa.
Example:
Among the fractions 3/7 and 2/9, 3/7 is greater than the other one. Even if you enter the values in comparing fractions calculator, you will get the same results. The tools will also show complete work while comparing the given fractions.
Comparing Fractions with Unlike Denominators:
- First, make the unlike denominators the same
- This can be done by taking the LCM (Least Common Multiple) of the denominators
- After that, multiply the fractions to determine the equivalent fractions as per the LCM taken into account
- At the end, simply compare the fractions on the basis of numerators (See method # 1)
Example:
Suppose we want to compare the following fractions:
2/4 and 6/5
The LCM of 4 & 5 is 20, so we have to determine equivalent fractions now.
Multiply and divide the first fraction by 5
= 2/4 = 10/20
Multiply and divide the second fraction by 4
= 6/5 = 24/20
Now new equivalent fractions have the same denominators. Comparing numerators:
= 10<24
So the following relation exists between the fractions:
= 2/4<6/5
Decimal Method of Comparing Fractions:
Here, you need to compare fractions by means of comparing decimals equivalents. To do this:
- Divide the numerator of the first fraction by its denominator to get the decimal form
- Do the same for resting fractions
- Now see the higher decimal number, the one that will certainly be the bigger fractions than all other/s
Example:
Suppose we have the fractions as follows:
2/7 & 6/8
Converting fraction 1 to decimal
= 2/7 = 0.2
Converting fraction 2 to decimal
= 6/8 = 0.7
So 0.7>0.2, which represents that the following relationship exists between the given fractions.
= 6/8>2/7
Cross Multiplication Method:
In this method;
- Multiply the numerator of the first fraction with the denominator of the second fraction. Write down the resulting number
- Likewise, multiply the numerator of the second fraction with the denominator of the first fraction and write the resulting number
- Check which number is greater to compare the fractions
Example:
Make a supposition that we have the two fractions as:
½ & ¾
= ½ ⤮ ¾
= 4<6
This implies that:
= ½ < ¾
Via Using Comparing Fractions Calculator:
This is indeed the fastest and easiest way to compare fractions. Whenever you have a lot of fractions to compare, the tools can be of great help. Using it is also very easy and straightforward.
Let us discuss it!
- Enter the numerators & denominators of the fractions that are given
- If you have mixed numbers, you can write the whole numbers in the comparing fractions calculator as well
- Once done, tap ‘Calculate’
This is at all!
Last Words:
In this article, we have thoroughly examined the best possible ways to compare fractions. We hope you better go through these and solve problems on your own. In case you feel trouble, you can use the comparing fractions calculator to get the comparison results in less than a second.
