Multiplying Fractions and Whole Numbers

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 whole number is a non-negative number without fractions or decimals, including 0, 1, 2, 3, etc.

A unit fraction is a fraction with 1 as the numerator, such as $$\frac{1}{2}$$ or $$\frac{1}{3}$$ .

To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the same denominator. For example, $$\frac{2}{3} \times 4 = \frac{2 \times 4}{3} = \frac{8}{3}$$ .

The result is $$1 \frac{4}{5}$$ .

The result is $$\frac{12}{3}$$ .

Adding fractions can be represented as repeated addition. For example, $$\frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} = 5 \times \frac{1}{6}$$ .

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

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.

To multiply two fractions, multiply the numerators together and the denominators together. For example, $$\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}$$ .