Comparing Fractions

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

Two fractions are equivalent if they represent the same part of a whole, even if they have different numerators and denominators. For example, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ .

When comparing fractions with the same denominator, the fraction with the larger numerator is greater. For example, $$\frac{3}{5}$$ is greater than $$\frac{2}{5}$$ .

To compare fractions with different denominators, convert them to equivalent fractions with a common denominator or convert them to decimals.

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions you want to compare.

The value that makes the statement true is $$\frac{3}{3}$$ .

On a number line, the fraction that is further to the right is greater. For example, $$\frac{3}{4}$$ is greater than $$\frac{3}{5}$$ because it is located further to the right.

$$\frac{1}{3}$$ and $$\frac{2}{6}$$ are equivalent fractions.

A fraction is less than 1 if its numerator is smaller than its denominator, indicating that it represents a part of a whole.

$$\frac{6}{12} < \frac{3}{4}$$ because $$\frac{6}{12}$$ simplifies to $$\frac{1}{2}$$ , which is less than $$\frac{3}{4}$$ .