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.

Add the whole numbers: 2 + 5 = 7.

Add the fractions: $$\frac{9}{11} + \frac{2}{11} = \frac{11}{11} = 1$$ .

The result is 8.

Convert 3 to a fraction: $$3 = \frac{15}{5}$$ . Then subtract: $$\frac{15}{5} - \frac{7}{5} = \frac{8}{5} = 1\frac{3}{5}$$ .

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

Add the whole number: 3 + 0 = 3. Add the fractions: $$\frac{3}{5} + \frac{4}{5} = \frac{7}{5} = 1\frac{2}{5}$$ . So, the result is $$4\frac{2}{5}$$ .

Subtract the whole numbers: 6 - 2 = 4. Subtract the fractions: $$\frac{3}{5} - \frac{1}{5} = \frac{2}{5}$$ . So, the result is $$4\frac{2}{5}$$ .