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.

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

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions. If the fraction result is negative, borrow from the whole number.

Convert $$3\frac{3}{5}$$ to an improper fraction: $$\frac{18}{5} + \frac{4}{5} = \frac{22}{5}$$ .

$$\frac{22}{5} = 4\frac{2}{5}$$ .

Convert the improper fraction to a mixed number and add it to the whole number.

First, convert to improper fractions: $$\frac{74}{10} - \frac{38}{10} = \frac{36}{10}$$ , which is $$3\frac{6}{10}$$ .

Divide the numerator by the denominator: $$36 ÷ 10 = 3$$ remainder $$6$$ , so it is $$3\frac{6}{10}$$ .

Subtract the whole numbers: $$5 - 3 = 2$$ , and the fractions are the same, so the answer is $$2$$ .