Fraction Word Problems

A fraction represents a part of a whole and is expressed as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

The numerator indicates how many parts of the whole are being considered.

The denominator indicates the total number of equal parts the whole is divided into.

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

To subtract fractions, ensure they have a common denominator, then subtract the numerators while keeping the denominator the same.

To multiply fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

To divide fractions, multiply by the reciprocal of the second fraction: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ .

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

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator, then place that over the original denominator.

The first step is to read the problem carefully and identify the fractions involved.