Fraction Operations

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

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

$$\frac{7}{18}$$ .

Find a common denominator, convert the fractions, and then add the numerators: $$\frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + c \cdot b}{b \cdot d}$$ .

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

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

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

$$\frac{35}{48}$$ pounds.

$$\frac{16}{15}$$ is already in simplest form.

$$\frac{8}{27}$$ .