Multiplying Fractions with Whole Numbers and Simplifying

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

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

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

$$\frac{1}{5}$$ .

She paints 3.5 feet or $$\frac{7}{2}$$ feet.

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

The total weight is $$\frac{16}{3}$$ pounds or 5 $$\frac{1}{3}$$ pounds.

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 over the original denominator is the fraction.

The result is $$\frac{3 \times 3}{12} = \frac{9}{12} = \frac{3}{4}$$ .