12.02

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

To find the fraction of a set, divide the number of parts you are interested in by the total number of parts. For example, if there are 8 tiles and 3 are yellow, the fraction of yellow tiles is $$\frac{3}{8}$$ .

The numerator represents the number of parts you have or are considering in a fraction.

The denominator represents the total number of equal parts in the whole.

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, $$\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$$ .

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, $$\frac{3}{5} - \frac{1}{5} = \frac{2}{5}$$ .

The combined fraction is found by adding the two fractions together. For example, if Deidra ate $$\frac{3}{10}$$ and Nancy ate $$\frac{4}{10}$$ , the combined fraction is $$\frac{3}{10} + \frac{4}{10} = \frac{7}{10}$$ .

To find the missing fraction, subtract the known fraction from the total. For example, if the total is 1 (whole) and one person ate $$\frac{3}{10}$$ , the missing fraction is $$1 - \frac{3}{10} = \frac{7}{10}$$ .

Visual models, like pie charts or bar models, help students see how fractions represent parts of a whole, making it easier to understand addition, subtraction, and comparison of fractions.

A proper fraction is a fraction where the numerator is less than the denominator, such as $$\frac{3}{4}$$ .