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Let us say that we have two fractions: 3/4 and 14/18.

Is 3/4 > 14/18 or is 3/4 < 14/18?

It is not immediately apparent which one is greater than the other. However, it is possible to convert the problem of comparing fractions into the problem of comparing integers, which is intuitive to solve.

In order to do so, we must find a common denominator of 3/4 and 14/18. To do so, we multiply the numerator and the denominator by the denominator of the other fraction like so:

(3/4) * (18/18) = (54/72)

and

(14/18) * (4/4) = (56/72)

From the above, it is clear that 56 > 54, which means that 56/72 > 54/72.

We can do this because 18/18 = 1 = 4/4. All we are doing is multiplying each fraction by the number 1. If you recall the Identity Property of multiplication, multiplying any number by 1 does not change the number, so this means:

56/72 > 54/72

14/18 = 56/72 and 3/4 = 54/72

So

14/18 > 3/4

To generalize:

If you have fractions a/b and c/d, convert the problem of comparing a/b and c/d to comparing the integers a*d and c*b. If a*d > c*b then a/b > c/d. If a*d < c*b then a/b < c/d.

Obviously, if a*d = c*b then a/b = c/d

Q: What are the mothods of comparing fractions?

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It is not always helpful.Some people may find it helpful when comparing fractions. By converting them into percentages they are made into like fractions: all with the denominator 100.

The larger fraction is the one with the smaller denominator, when the numerators are the same.

well it depends on what you comparing it to, for instance if I'm 19 minutes compared to an hour is 19/60

Since they are all based on a common denominator of 100, some people find them easier for comparing fractions.

When comparing fractions you must find a common denominator; by finding the least common denominator it will keep the numbers (numerators and denominator) smaller .

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it works when comparing fractions by multiplying the fractions to see whitch one is greater not greater and equal

The correct spelling is fractions instead of fractans. Comparing fractions means to tell which fraction is smaller and which is bigger.

benchmark fractions

Because when you compare fractions with the same denominators, you do not have to find the least common denominator (LCM or LCD).

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It is easy: just convert to decimal fractions.

When comparing or simplifying fractions.

it means that you look at 2 or more fractions and see their simalaritys and differences

Convert them into equivalent fractions with the same denominator and then compare the numerators.

Numerator, Denominator or Denominator, Numerator.

They are ways of calculating and comparing parts of wholes.

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