Multiplying Fractions

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).

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

A mixed number is a whole number combined with a proper fraction, such as $$2\frac{1}{3}$$ .

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

$$\frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10}$$ after simplification.

The capacity of the large tank is $$12 \times 3\frac{3}{4} = 45$$ liters.

The first step is to multiply the numerators together.

The second step is to multiply the denominators together.

To write a fraction as a decimal, divide the numerator by the denominator.