Comparing Fractions (36ths)

A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator (part) and 'b' is the denominator (whole).

Comparing fractions involves determining which fraction is larger, smaller, or if they are equal.

To compare fractions, find a common denominator by identifying the least common multiple (LCM) of the denominators.

The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers.

Multiply the numerator and denominator of each fraction by the necessary factor to reach the common denominator.

$$\frac{4}{9} < \frac{8}{12}$$ .

$$\frac{1}{4} = \frac{3}{12}$$ .

$$\frac{3}{9} = \frac{2}{6}$$ .

$$\frac{7}{8} > \frac{10}{12}$$ .

$$\frac{3}{4} > \frac{2}{3}$$ .