U5: 8C Mastery Check Adding Mixed Numbers

A mixed number is a whole number combined with a fraction, such as 2 1/2.

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 9/4.

$$2 \frac{1}{4}$$ .

Convert the mixed numbers to improper fractions: $$\frac{21}{8} + \frac{9}{8}$$ .

$$\frac{30}{8} = 3 \frac{3}{4}$$ .

The common denominator is 12. Convert $$\frac{2}{3}$$ to $$\frac{8}{12}$$ and $$\frac{1}{4}$$ to $$\frac{3}{12}$$ .

$$\frac{11}{12}$$ .

$$12 \frac{3}{22}$$ .

Convert to improper fractions: $$\frac{53}{12} + \frac{17}{6}$$ .