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COMPARING FRACTIONS| HOW TO COMPARING FRACTIONS

Updated: Oct 27, 2022

Comparing fractions with the same/like positive denominator yields the same result as comparing the numerators:

If the equal denominators are negative, then the opposite result of comparing the numerators holds for the fractions:

If two positive fractions have the same numerator, then the fraction with the smaller denominator is the larger number. When a whole is divided into equal pieces, if fewer equal pieces are needed to make up the whole, then each piece must be larger. When two positive fractions have the same numerator, they represent the same number of parts, but in the fraction with the smaller denominator, the parts are larger.

every negative number, including negative fractions, is less than zero, and every positive number, including positive fractions, is greater than zero, it follows that any negative fraction is less than any positive fraction. This allows, together with the above rules, to compare all possible fractions.




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Comparing Fractions with the same or like Denominators:

By this blog we learn how can comparing fractions with the same or like Denominators.

So, let's start. Comparing fractions with the same or like positive denominator yields the same result as comparing the numerators:

Note - if two or more fractions have the same/like denominator, the fraction with the greater Numerator is the greatest number and the small Numerator is the smallest number.

Example: compare the Fractions 6/13, 8/13.

Solution:

Step 1 -Take note the denominators (13) is same of both fractions 6/13 and 8/13. Step 2 - Now see the Numerators we can see that 8 is greater than 3. So, we can express fractions 6/13 < 8/13. The fraction 8/13 is greater than 6/13.

Comparing Fractions with unlike or different denominators:









Compare the Fractions and find the greatest one from 5/13, 3/13, 7/13.

  • Write an answer

  • Write an answer






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