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

To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the same denominator. For example, $$3 \times \frac{2}{5} = \frac{3 \times 2}{5} = \frac{6}{5}$$ .

A mixed number is a whole number combined with a 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 over the original denominator.

The product is $$\frac{3 \times 2}{4} = \frac{6}{4} = 1 \frac{1}{2}$$ .

The product is $$\frac{1 \times 3}{3 \times 5} = \frac{3}{15} = \frac{1}{5}$$ .

To simplify $$\frac{4}{8}$$ , divide both the numerator and denominator by their greatest common divisor, which is 4. The simplified fraction is $$\frac{1}{2}$$ .

The result is $$\frac{6 \times 1}{5} = \frac{6}{5} = 1 \frac{1}{5}$$ .

The result is $$\frac{3 \times 3}{5} = \frac{9}{5} = 1 \frac{4}{5}$$ .