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Comparing Fractions Calculator

Comparing Fractions Calculator

Enter any fraction, decimal, or percent and the calculator will let you know which one of these is greater than the other.

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Get to know which fraction, decimal, integer, or percent is greater or smaller with the use of this free online comparing fractions calculator. Yes, it sounds strange enough but believe us, you are just a few clicks away getting an accurate fractions comparison.

So let’s move ahead and dig into the concept a little more!

Stay Focused!

How Do You Compare Fractions?

Various ways are out there to compare the fractions with either fractions and any other type of the number format aforementioned. Moreover, our best comparing fractions calculator also takes into consideration this comparison sensitively and displays the accurate comparison results.

Okay let’s get through the ways to analyse which fraction is bigger or smaller and why?

Decimal Method:

Comparing decimals is the easiest and reliable way to compare fractions. Yes, what you need to do here is to convert the given fractions into their equivalent decimal notations. By doing so, you can swiftly relate them and choose the bigger one or smaller one. To make your calculations even more faster, there exists no other way but our best decimal comparison calculator. So use it and take advantage of the opportunity.

Same Denominator Method:

This is another approach in recognizing the fractions size. If there are two fractions with the same denominator, the fraction with greater numerator would be considered as the bigger one. While the second one is smaller, no doubt.

Different Denominator Method:

Here we are going to grab the heart of the concept. Yes, this point is worthy as it includes understanding of another concept within itself. Let’s discuss!

What you are required to do here is to calculate the LCD. This will allow you to make the different denominators the same. When you get the denominators the same, it’s time to follow the above same denominator method to compare the fractions. No doubt mixing a couple of concepts may be confusing, but this fractions greater than or less than calculator will instantly apply them to display final output on your device screen.

Same Numerator Method:

Whenever you have fractions with like numerators, the greater will be the one with smaller denominator.

Comparing Fractions To Decimals And Percents:

This kind of comparison is a little different from all of the above mentioned. If you have such numbers in different formats, then you need to follow up the key points below:

  • For fraction, divide the numerator by denominator
  • For percent value, divide it by the figure 100
  • Now you get the decimal values for both, compare them and see which one is smaller or greater
  • At the end, rewrite the original numbers with a correct sign representing their comparison.

To avoid these lengthy computations involved in the process, you may subject to this free decimal comparison calculator to reduce complexity.

Fraction Comparison Chart:

Following are a couple of tables that represent larger or smaller fractions when compared. One thing that you must know here is all of these comparisons can also be checked by using the free online comparing fractions calculator. Let’s have a look!

Greater Fraction’s Table:

Comparison For Greater Fraction Greater Fraction
3/4 or 1/2 3/4
2/3 or 1/2 2/3
3/16 or 1/4 1/4
1/2 or 1/4 1/2
1/8 or 1/4 1/4
3/4 or 1/2 3/4
3/8 or 5/16 3/8
7/16 or 1/2 1/2
3/16 or 1/8 3/16
1/3 or 1/4 1/3
3/2 or 1 3/2
5/32 or 1/8 5/32
4/5 or 2/3 4/5
3/8 or 1/4 3/8
5/3 or 5/11 5/3
11/16 or 3/4 3/4
9/16 or 5/8 5/8
5/8 or 11/16 11/16
5/8 or 9/16 5/8

 

Smaller Fraction’s Table:

Comparison For Smaller Fraction Smaller Fraction
1/64 or 1/32 1/64
5/6 or 3/8 3/8
3/7 or 6/7 3/7
8/9 or 4/3 8/9
6/9 or 3/7 3/7
3/4 or 9/12 9/13
2/12 or 29/8 2/12
5/8 or 12/16 5/8
2/3 or 3/4 2/3
6/3 or 6/9 6/9
3/2 or 4/3 4/3
1/3 or 1/2 1/3
1/8 or 1/4 1/8
5/8 or 7/2 5/8
5/9 or 7/8 5/9
21/4 or 66/5 21/4
13/55 or 7/4 13/55
2/1 or 5/8 5/8
3/8 or 3/7 3/8

 

How To Compare Fractions?

What about comparing some numbers in examples? Let’s get started!

Example # 01:

2 3 vs 3 4, which fraction is bigger one?

Solution:

So here we have to compare fractions with different denominators:

LCD:
Least common denominator of both the fractions is 12.

Writing Equivalent Fractions:

8/12 vs 9/12

Comparing Fractions:

As the denominators are the same, the fraction with the bigger numerator is the greater one.

9/12 is bigger than 8/12

Writing Original Fractions:
2/3 < 3/4

Example # 02:

Which one is smaller, 6/8 or 21%?

Solution:

Converting fraction into equivalent decimal notation:

6/8 = 0.75 (for calculations, tap fraction to decimal calculator)

Converting 21% to decimal notation:

21% = 21/100 = 0.21

Comparing both decimals:

0.75 > 0.21

So we have:

6/8 > 21%

To speed up your calculations, you will have to encounter the best comparing fractions to decimal calculator as this is the only way to do so.

How Comparing Fractions Calculator Works?

Let this ultimate comparing decimals calculator relate decimals, fractions, and percents combinations to find which one is bigger, smaller, or even equal.

Go through the following user guide before you start using this calculator.

Input:

  • Enter any fraction, decimal, or even percent number in couple of designated fields
  • Tap the calculate button

Output:

The free greater than or less than calculator determines:

  • Which number provided is the larger one and which is smaller one

FAQ’s:

What are various alternative methods for comparing fractions?

Following are 8 various ways to compare the fractions:

  • Number Line Models
  • Area Models
  • Benchmarks
  • Cross Multiplication

But let it be clear that the best among all is only the comparing fractions calculator.

How do you order fractions least to greatest?

If you have multiple fractions with various denominators, find their common denominator. You can do this by using an LCD calculator instantly. After you do that, you get the same denominator for all fractions. Now keep in mind the fraction with a large numerator is larger and vice versa. By this method, you can sort fractions from least to greatest manner.

3 4 vs 7 8, which one is smaller?

The fraction 3/4 is the smaller one. For confirmation, you can use this free comparing fractions calculator.

Make a list of fractions greater than 1 2 up to 5 fractions.

Here we have the required list that we are asked for:
6/10, 7/10, 8/10, 9/10, and 10/10

Conclusion:

Comparing fractions is necessary to learn for high school pupils. This builds a humour of recognizing greater or smaller fraction numbers with ease. And when it comes to enhancing the speed of calculations, this free comparing fractions calculator is a great way to do that.

References:

From the source of Wikipedia: From the source of Wikipedia: Fraction, Forms of fractions, Reciprocals and the “invisible denominator”, Historical notions, Arithmetic with fractions, Fractions in abstract mathematics

From the source of Khan Academy: Compare fractions 

From the source of Lumen Learning: Comparing Decimals and Fractions, Order Decimals and Fractions