When comparing fractions, it can sometimes be a confusing task, especially when the denominators are not the same. However, with some simple methods, you can easily compare and order fractions in no time. In this article, we will outline four easy steps to help you compare fractions effectively.

Step 1: Make Sure the Denominators Are the Same

Before comparing any fractions, you must ensure that the denominators are the same. If they’re already identical, proceed to Step 2; if not, find the Least Common Multiple (LCM) of both denominators. This becomes your new denominator for both fractions.

For example:

– Compare 1/4 and 1/6

– The LCM of 4 and 6 is 12

– Rewrite the fractions with 12 as their denominator: (1/4)*(3/3) = 3/12 and (1/6)*(2/2) = 2/12

Step 2: Compare the Numerators

Once you have made the denominators equal, look at the numerators. The fraction with the larger numerator is now considered greater than the other fraction.

Using our example:

– Compare 3/12 and 2/12

– Since 3 > 2, therefore, 3/12 (which is equivalent to 1/4) > 2/12 (which is equivalent to 1/6)

Step 3: Simplify Your Fractions (if necessary)

After obtaining your answer from Step 2, always remember to simplify your fractions back to their original form. This will provide a clear comparison between two or more given fractions.

In our example:

– We had compared 3/12 > 2/12 which meant that originally,

– So we have: 1/4 > 1/6

Step 4: Write Your Answer in the Correct Format

At the end, simply write your answer using appropriate signs (greater than ‘>’, less than ‘<‘, or equal ‘=’). Ensure that you present your answer using the original fractions to show a clear understanding of the comparison.

Final answer for our example:

– 1/4 > 1/6

By following these four simple steps, you can efficiently compare fractions and develop a better understanding of fraction relationships. Keep practicing with different pairs of fractions to perfect your skills!