Adding Mixed Numbers with Unlike Denominators

Find a common denominator.

$$7\ \frac{2}{5}$$

Convert the mixed numbers to improper fractions and find a common denominator.

A mixed number is a whole number combined with a proper fraction, such as $$2\ \frac{1}{3}$$ .

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

The smallest multiple that two or more denominators share.

$$5\ \frac{11}{12}$$

1. Find the least common denominator. 2. Convert each fraction to an equivalent fraction with the LCD. 3. Add the numerators and keep the denominator.

$$3\ \frac{3}{4}$$

To reduce a fraction to its lowest terms by dividing the numerator and denominator by their greatest common factor.