Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
By reducing the values of the numerators and denominators of the fractions, further calculations with these fractions become easier to do.
To reduce a fraction to the lowest terms equivalent: divide both the numerator and denominator by their greatest common factor, GCF.
12/27 = (22 × 3)/33 = ((22 × 3) ÷ 3)/(33 ÷ 3) = 4/9
6/9 = (2 × 3)/32 = ((2 × 3) ÷ 3)/(32 ÷ 3) = 2/3
In fact, the two fractions have equal denominators
The denominator of one of the reduced fractions is equal to the denominator of the other initial fraction:
4/9 and 6/9
The fractions have the same denominator, compare their numerators.
This is one of the simplest cases when comparing two fractions.
The larger the numerator the larger the positive fraction.
The larger the numerator the smaller the negative fraction.
::: The operation of comparing fractions :::
The final answer: