Add Mixed Numbers

Read this section which explains the two methods for adding mixed numbers with common denominators. Do Examples 4.83 and 4.84 using the method of adding the whole numbers and fractions separately. Then, do Examples 4.85 using the method of converting mixed numbers to improper fractions. Be sure to check your answers.

Examples

EXAMPLE 4.83

Add: $3 \dfrac{4}{9}+2 \dfrac{2}{9}$ .

EXAMPLE 4.84

Find the sum: $9 \dfrac{5}{9}+5 \dfrac{7}{9}$ .

EXAMPLE 4.85

Add by converting the mixed numbers to improper fractions: $3 \dfrac{7}{8}+4 \dfrac{3}{8}$ .