Multiplying Fractions

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

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

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, e.g., $$\frac{5}{4}$$ .

A mixed number combines a whole number and a proper fraction, e.g., $$2\frac{1}{3}$$ .

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

Convert the mixed number to an improper fraction before multiplying.

$$\frac{7}{3}$$ .

$$2\frac{5}{6}$$ .

$$2\frac{1}{10}$$ .

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors.