Fractions as Division

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

Fractions can be interpreted as division, where $$\frac{a}{b}$$ means 'a divided by b'. For example, $$\frac{5}{12}$$ means 5 divided by 12.

To find the amount per unit, divide the total amount by the number of units. For example, if 5 gallons of paint are used for 12 chairs, the amount of paint per chair is $$\frac{5}{12}$$ gallons.

To divide a total amount into equal parts, you can use the formula: Total Amount ÷ Number of Parts = Amount per Part.

Each person gets $$\frac{3}{8}$$ pints of ice cream.

The formula is: Length of each side = Perimeter ÷ Number of sides. For example, if the perimeter is 10 feet and there are 4 sides, each side is $$\frac{10}{4} = 2.5$$ feet.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, $$2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}$$ .

Fractions can be converted to decimals by dividing the numerator by the denominator. For example, $$\frac{1}{2} = 0.5$$ .

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, $$\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}$$ .

A fraction greater than 1 means that the numerator is larger than the denominator, indicating that it represents more than one whole. For example, $$\frac{5}{4}$$ is greater than 1.