Comparing Fractions Calculator

Comparing Fractions Calculator

Comparing fractions is the most common way of comparing two fractions and representing which is bigger, smaller, or if both are equal. At the point when fractions have a similar denominator, the calculation is simple. But, when the denominators differ, it requires a little more work to make a fair comparison.

How to use our Composite function calculator:

Follow this procedure to use our calculator:

Step 1: Input the Fractions: 

First enter the fraction. These fractions can be straightforward fractions like 1/4 or more complex ones like 7/12.

Step 2: Display the outputs: 

Click the 'submit' button to get the outcome.

The challenge of comparing fractions with different Denominators:

The challenge of comparing fractions emerges when the divisions have various denominators. This situation requires a common reference point, often attained by finding a common denominator. While this technique tends to be tedious, particularly with bigger numbers or more complex fractions.

There are steps to compare unlike fractions:

Follow the simple steps to compare fractions.

Step 1: The first step is to find the least common denominator for both fractions.

Step 2: Each fraction should be converted to an equivalent fraction with the same denominator.

Step 3: The numerators of the equivalent fractions are compared. The larger the numerator, the larger the fraction.

Example:

Let's compare 5/8 and 7/6

Step 1: 

First, find the LCM of 8 and 6, which is equal to 24

Step 2:

Convert them to equivalent fractions so they both have the same denominator

5/8 * 3/3 = 15 / 24

7/6 * 4/4 = 28 / 24

Step 3:

As our denominators are the same, now compare numerators which is greater

As 28 is greater than 15, so: 28 / 24 > 15 / 24

7 / 6 > 5 / 8

So, 7/6 is greater than 5/8 

FAQs

What are fractions?

A number (such as ¹/₂ or ³/₄) which indicates that one number is being divided by another or also a number (such as 3.323) that consists of a whole number and a decimal.

Why is a common denominator required when comparing fractions?

When fractions are stated using the same base due to a similar denominator, it becomes simpler to compare their numerators and decide which fraction is bigger or smaller.

Is it possible to compare whole numbers with fractions?

It is possible to compare fractions with whole numbers by either utilizing a calculator to perform the comparison more quickly or by turning the whole number into a fraction with the same denominator as the fraction.

How might learners take advantage of a comparing fraction calculator?

It facilitates knowledge of the relationship between fractions, speeds up manual computation so that the students can concentrate on comprehending the content, and encourages learning via practice.