# How do you evaluate #\frac { 1} { 4} + \frac { 3} { 2} + 5\frac { 1} { 3}#?

##### 1 Answer

#### Explanation:

**1. Convert #5 1/3# into an improper fraction.** Multiply 5 by 3, then add 1 to get the numerator. 3 remains the denominator.

**2. We need to get a least common denominator** (LCD) for all three fractions.

Multiples of 4: 4, 8, 12...

Multiples of 3: 3, 6, 9, 12...

Multiples of 2: 2, 4, 6, 8, 10, 12...

The smallest number that can be divided by 4, 2, and 3 is **12**.

**3. Multiply each fraction in the expression by a equivalent form of 1** so that each has a denominator of 12.

**4. Add** the fractions. Remember, when adding fractions, only add the numerators together and keep the denominators the same.

Since **improper fraction** . You could also convert it into a mixed fraction, which would be