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# Compare fractions (with like numerators or denominators)

3/4>3/7

## 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\$\$ 