Comparing Fractions Calculator

Now find the fractions to know which fraction value is greater, lesser, or equal to another using the comparing fractions calculator.

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Introduction to Comparing Fractions Calculator:

Comparing fractions calculator is a digital tool that helps you to find the fractions to determine which one fraction value is greater, lesser, or may be equal to each other. It can also reduce fractions into the simplest form after comparing both fractions.

Comparing Fractions calculator with steps

The compare fractions calculator is a valuable tool for getting solutions for comparing fractions problems, for educational, students, and professionals, to do everyday tasks.

What are Comparing Fractions?

Comparing fractions method is used to evaluate the comparison between relative sizes based on their numerators and denominators. It determines which fraction is greater, lesser, or if they are equal to each other.

It uses different methods, such as finding a common denominator or using cross-multiplication, and decimal fraction methods to compare both fractions accurately.

How to Solve Compare Fractions?

For comparing fractions, the comparing fractions calculator uses different methods to check whether the given fraction is greater or lesser than the other fraction. These methods are:

Find a Common Denominator:

To compare fractions, you need a common denominator. In the fraction comparison calculator, If there’s already a common denominator, then only numerator numbers are compared. The greater numerator number has a greater fraction than the other fraction.

If you have a Different Denominator:

For the comparison between two fractions, you need to first make them alike denominators. The comparing fraction calculator, make the same denominator value by taking the LCM. After solving the fraction to make it alike denominator, you can compare the fraction.

Cross-Multiplication Method

In the compare fraction calculator, the cross-multiplication method is used in which the numerator of one fraction is multiplied by the second fraction denominator.

Then it multiplies the second fraction numerator by the first fraction denominator. After multiplication compare both the numbers. The bigger number value has a greater fraction than the other fraction when you compare both of them.

Example of Comparing Fraction:

Let us understand the working procedure of comparing fractions calculator which uses the fraction method to solve such comparing fractions.

Example:

Use < or > to compare the two fractions:

$$ \frac{4}{5} \;and\; \frac{14}{20} $$

Solution:

$$ \frac{4}{5} \;=\; \frac{?}{20} $$

$$ \frac{4.4}{5.4} \;=\; \frac{16}{20} $$

$$ \frac{16}{20}\; > \; \frac{14}{20} $$

$$ \frac{4}{5} \;>\; \frac{14}{20} $$

How to Use Comparing Fractions Calculator?

The compare fractions calculator has a user-friendly design so that you can use it easily to calculate the relative size of fraction comparison questions.

Before adding the input value to the fraction comparison calculator, you must follow some guidelines to avoid any trouble in the evaluation process. These guidelines are:

Enter the first fraction value in which the numerator or denominator value is in the input field.
Enter the second fraction value (numerator or denominator value) in the input field.
Review your input numbers for comparing fractions because if the fraction values are not correct then our comparing fraction calculator does not provide you the exact solution for the comparison of fraction problems.
Click the “Calculate” button to get the result of your given comparison of the fraction problem.
If you want to try out our compare fraction calculator for the first time then you must check the load example and its solution that gives you clarity about this concept.
Click on the “Recalculate” button to get a new page for solving Comparing Fraction problems.

Output of Compare Fractions Calculator:

Comparing fractions calculator gives you the solution when you add the input into it. It provides you with solutions in a step-wise process. It may contain as

Result option gives you a solution for comparing fraction problems.
Possible step provides you with all the steps of the comparison fraction problem in detail.

Advantages of Fraction Comparison Calculator:

Fraction calculator compare gives you tons of advantages whenever you use it to calculate the comparison between two fractions. These advantages are:

Compare fractions calculator saves time and effort from doing lengthy calculations of comparing fraction problems
It is a free-of-cost tool so you can use it for free to find the relative size for two fraction values
Comparing fraction calculator is a versatile tool that allows you to solve various types of fractions (alike fraction, unlike fraction) for comparison of these fraction
You can use this compare fraction calculator for practice so that you get a strong hold on the comparing fraction concept
It is a trustworthy tool that provides you with accurate solutions every time whenever you use it to find the comparing fraction problem for calculation.
Comparing fractions calculator is an educational tool that is used to teach children about the concept of fraction relative size problems and how to perform comparisons of fraction.

Related References

How would you define comparing fractions?
Explain the solve comparing fractions problem. Explain in detail.
Give some examples of comparing fractions:
Give an overview of comparing fractions?

Frequently Ask Questions

How to compare fractions with different denominators?

When you are comparing fractions with different denominators, then you can follow these steps:

If both the fraction has different denominator values then use the multiply and divide method to make them equal and then compare their numerator values.
Simplify both fractions to make the comparison for larger or smaller fraction numbers easily.

Let's take an example: Find the comparing 2/3 And 3/4.

Find the least common multiple (LCM) of 3 and 4 is 12. First convert Fractions and rewrite each fraction with the common denominator of 12:

$$ \frac{2}{3} \times \frac{4}{4} \;=\; \frac{8}{12} $$

$$ \frac{3}{4} \times \frac{3}{3} \;=\; \frac{9}{12} $$

Now, compare the numerators: 8 and 9.

$$ 9 < 8 $$

$$ 9 < 8,\; so $$

3/4 is greater than 2/3,

$$ \frac{3}{4} < \frac{2}{3} $$

How do you compare fractions and decimals?

Comparing fractions and decimals involves the conversion of one form into the other so that they can be compared to the given fraction. Here's a step-by-step method to compare fractions and decimals:

Convert the fraction into a decimal by using multiplying and dividing the numerator and the denominator with the same number.
If you have both fractions converted to decimals, you can compare them directly.
Convert both fractions to decimals.
After converting both fractions to decimals, compare them, the digits place by place, starting from the leftmost digit. The number with the greater digit in the leftmost place is the larger number. If the leftmost digits are the same, move to the next digit.
If one decimal has more digits after the decimal point than the other, and all the digits before the decimal point are the same, the longer decimal is the larger number.

For example: Find the Comparing fraction between 2/5 And 0.6

Convert Fraction to Decimal:

$$ \frac{2}{5} \;=\; 0.4 $$

Compare Decimal with Decimal: Now, compare 0.4 and 0.6. Since 0.6 < 0.4, 0.6. So, in this case, 0.6 is greater than 2/5.

How do you compare fractions with the same denominator?

When comparing fractions with the same denominator, you can follow the given working process.

Since the denominators are already the same, you only need to compare the numerators. Then compare the numerators of the fractions. For example, comparing 3/7 and 5/7. The numerator of 5 is 3. Since 5< 3, 5/7 is larger than 3/7.

That's all there is to it when comparing fractions with the same denominator. It's a simple comparison of numerators.

How to compare fractions from least to greatest?

To compare fractions from least to greatest, follow these steps for the comparison of two fractions:

If both fractions have already a common denominator, then compare them directly, otherwise make the fraction denominator value equal.
If the fractions can be simplified, by dividing both the numerator and denominator by their greatest common divisor (GCD) to get the simplest form of the fraction.

Consider comparing the fractions

$$ \frac{1}{3},\; \frac{2}{5},\; and\; \frac{3}{4} $$

The least common multiple (LCM) of the denominators (3, 5, and 4) is 60.

Each fraction with a denominator of 60:

$$ \frac{1}{3} \times \frac{20}{20} \;=\; \frac{20}{60} $$

$$ \frac{2}{5} \times \frac{12}{12} \;=\; \frac{24}{60} $$

$$ \frac{3}{4} \times \frac{15}{15} \;=\; \frac{45}{60} $$

Arrange the fractions based on their numerators:

$$ \frac{1}{3} (numerator:\; 20) $$

$$ \frac{2}{5} (numerator:\; 24) $$

$$ \frac{3}{4} (numerator:\; 45) $$

So, from least to greatest, the order of the fractions is:

$$ \frac{1}{3},\; \frac{2}{5},\; and\; \frac{3}{4} $$

How do you compare fractions decimals and percents?

For comparing fractions, decimals, and percents, you need to understand the relationships and convert between them when it compares if necessary. Let's learn how you can compare them:

Fractions:

Fractions represent parts of a whole. They consist of a numerator (the top number) and a denominator. To compare fractions, you can evaluate the same denominator number and compare the numerator value directly.Convert fractions to decimals or percents for easier comparison.

Decimals:

To compare decimal points compare digit by digit, starting from the left or convert the decimals to fractions or percents for comparison.

Percents:

Percentages represent parts per hundred. To compare percentages convert percentages to fractions or decimals.

Amanda Jepson

Last Updated February 21, 2024