Multiplying, Adding, and Subtracting Fractions Flashcard

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

To multiply two fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

$$\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$ .

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

A mixed number is a whole number combined with a fraction, such as 2 $$\frac{1}{2}$$ .

$$\frac{7}{4} = 1 \frac{3}{4}$$ .

A proper fraction has a numerator smaller than the denominator (e.g., $$\frac{3}{4}$$ ), while an improper fraction has a numerator larger than or equal to the denominator (e.g., $$\frac{5}{4}$$ ).

To subtract fractions, ensure they have the same denominator, then subtract the numerators: $$\frac{a}{b} - \frac{c}{b} = \frac{a - c}{b}$$ .

$$\frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3}$$ .

$$\frac{3}{5} - \frac{1}{5} = \frac{2}{5}$$ .