Fractions as Division Word Problems

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 fraction $$\frac{a}{b}$$ can be interpreted as the division of 'a' by 'b', meaning 'a' divided into 'b' equal parts.

1. Read the problem carefully. 2. Identify the total amount and the number of parts. 3. Set up the fraction as $$\frac{total}{parts}$$ . 4. Simplify if necessary.

Divide the total amount by the number of items: Amount per item = $$\frac{total}{number\ of\ items}$$ .

The quotient is 3.

Each pitcher has $$\frac{4}{5} gallon$$ of juice.

Divide the total number of items by 2: Each person gets $$\frac{total}{2}$$ .

The division expression is $$3 \div 5$$ .

A division problem like 'a divided by b' can be expressed as the fraction $$\frac{a}{b}$$ .

The numerator is the top number in a fraction that indicates how many parts are being considered.