Lesson 5.1-5.2 Adding and Subtracting Fractions Essential Question: How do you add and subtract fractions?

Before we start… You and your friend order two medium pizzas. Each pizza has 8 slices. You ate 3 8 of the pizzas and your friend ate 5 16 of the pizzas. How much of the pizza did you eat together?

How do you add and subtract fractions? Find your common denominator. If there’s a mixed number, you can turn it into an improper fraction first. Add/subtract the numerators, keeping your denominator the same. Reduce your final answer.

− 11 13 + 8 13 −5 6 7 +3 2 7

− 𝑎 9 + 7𝑎 9 6𝑥 11𝑦 − 10𝑥 11𝑦

− 𝑡 3 − 2𝑡 3 𝑦 8𝑎 +− 5𝑦 8𝑎

7 8 +− 2 5 3 10 − 5 6

2𝑥 5 − 𝑥 6 5 𝑦 + 7 8

5𝑑 8 − 2𝑑 5 10 𝑥 + 3 4

Biology A corn snake that is 14 3 4 inches long grows g inches to a length of 27 1 4 inches. How much does it grow?

Hiking Before lunch, Tara hiked 3 5 8 miles Hiking Before lunch, Tara hiked 3 5 8 miles. After lunch, she hiked another 2 7 8 miles. How far did she hike altogether?

Carpentry A board is 36 5 8 inches long Carpentry A board is 36 5 8 inches long. You cut off a piece 12 3 4 inches long. The saw blade destroys an additional 1 16 inch of wood which is equal to its width. What is the length of the remaining piece of wood?

Construction You are building a stone wall 13 feet long Construction You are building a stone wall 13 feet long. You build 4 1 3 feet of wall on Monday and 5 3 4 feet on Tuesday. How much wall do you have left to build?

How do you add and subtract fractions?

Ticket Out the Door − 7 12 + 4 15