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.

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

To subtract fractions, ensure they have the same denominator, then subtract the numerators and keep the denominator the same.

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

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, add the numerator, and place that over the original denominator.

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ .

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 common denominator is a shared multiple of the denominators of two or more fractions, used to perform addition or subtraction.

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple they share.