## Comparing fractions

A fraction is a part of a whole. To find the greater fraction you need to find the fraction that contains a greater part of the whole.

If fractions have the same denominator, you can compare numerators:

$$3/4 > 1/4$$

It is possible to draw it to see the result:

If there is a common numerator, the fraction with the greater denominator is actually smaller:

$$1/3 > 1/4$$

You can draw it as well:

If two fractions do not have common numerator or denominator, you can find equivalent fractions with the same denominator.

E.g. compare $3/8$ and $1/3$:

$${3×3}/{8×3}=9/24\;\;\;{1×8}/{3×8}=8/24\;→\;$$

$$9/24>8/24$$

If you compare a fraction with a whole number, you can turn the whole number into a fraction with the same denominator:

$$1=1/1=2/2=3/3=4/4=5/5=...$$

$$4=8/2=12/3=16/4=20/5= ...$$

Compare 3 and $9/4$:

$$3=12/4\;→\;12/4>9/4$$