Adding Positive and Negative Fractions and Mixed Numbers

This video tutorial explains how to add positive and negative fractions and mixed numbers. It covers integer rules, finding common denominators, and converting mixed numbers to improper fractions. The tutorial includes six examples demonstrating different scenarios, such as adding fractions with the same or different signs, simplifying fractions, and handling mixed numbers and improper fractions.

What should you do when adding fractions with the same signs?

• Subtract the absolute values and keep the sign of the larger absolute value

• Add the absolute values and keep the same sign

• Subtract the absolute values and change the sign

• Add the absolute values and change the sign

What is the first step in adding fractions and mixed numbers?

• Simplify the fractions

• Find a common denominator

• Convert to improper fractions

• Add the numerators and denominators

In Example 1, what is the common denominator used for 3/4 and 7/8?

• 12

• 8

• 16

• 4

In Example 1, what is the final answer after adding 3/4 and 7/8?

• 1 1/8

• 1 5/8

• 2 1/8

• 2 5/8

In Example 2, why is the final answer positive?

• Because the signs are the same

• Because both fractions are positive

• Because the absolute value of 11/14 is larger

• Because the absolute value of -5/7 is larger

In Example 2, what is the common denominator used for -5/7 and 11/14?

• 7

• 14

• 21

• 28

In Example 3, what is the common denominator used for 3/15 and -7/10?

• 30

• 15

• 10

• 20

In Example 3, what is the simplified form of -15/30?

• -1/2

• -1/5

• -1/3

• -1/4

In Example 4, what is the common denominator used for 5/6 and 4/9?

• 18

• 12

• 9

• 6

In Example 6, what is the final answer after adding -9 4/14 and -30 11/14?

• -41 1/14

• -42 1/14

• -39 1/14

• -40 1/14