Adding and Subtracting Mixed Numbers

A mixed number is a whole number combined with a fraction, such as $$2\frac{3}{4}$$ .

To add mixed numbers, first add the whole numbers, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions. If the fraction from the first number is smaller than the second, borrow from the whole number.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{9}{4}$$ .

$$\frac{7}{2}$$ .

Convert both mixed numbers to improper fractions: $$\frac{13}{3} + \frac{8}{3}$$ .

Find a common denominator before adding the fractions.

$$3\frac{4}{5}$$ .

$$3\frac{6}{10}$$ .

$$1\frac{2}{5}$$ .