Add Fractions and Mixed Numbers with Like Denominators

We can use models to add the fractions with like denominators. For example:
3/8 represents a circle with 8 equal parts, out of which 3 are shaded.
1/8 represents a circle with 8 equal parts, out of which 1 is shaded.
3/8 + 1/8 = 4/8 = a circle with 8 equal parts, out of which 4 are shaded

To add fractions with like denominators, add the numerators and retain the common denominator

To add two mixed numbers, first add the fraction parts, then add the whole number parts; simplify

Sometimes we need to rename to simplify the sum. For example, 36 7/5 = 36 + 5/5 + 2/5