Number Talk: Dividing Fractions by Fractions by Nathan Woods

What is Fraction Division?

nwoods1_1 — 2024-07-15 00:15:16 UTC

Fraction division can initially seem confusing, but it’s quite an interesting concept. When we divide fractions, are goal is essentially determining how many times one fraction fits into another. For example, in the division 1/2 ÷ 1/4, we are asking how many times 1/4 fits into 1/2.

Visualizing with Fraction Bars

nwoods1_1 — 2024-07-15 00:15:16 UTC

Use fraction tiles or other visual aids to see how fraction division works. By aligning fraction tiles of different lengths, students can visually understand how many times one fraction fits into another.

The Invert and Multiply Rule

nwoods1_1 — 2024-07-15 00:15:16 UTC

One effective strategy for dividing fractions is to use the 'invert and multiply' rule. To divide fractions, you can multiply the first fraction by the reciprocal (or inverse) of the second fraction. For example, 1/2 ÷ 1/3 becomes 1/2 × 3/1.

Rationale Behind Invert and Multiply

nwoods1_1 — 2024-07-15 00:15:17 UTC

Understanding why the 'invert and multiply' rule works can help students grasp the concept. The rule leverages the idea that dividing by a number is the same as multiplying by its reciprocal.

Solve TIME!!

nwoods1_1 — 2024-07-15 00:15:17 UTC

Spend the next 5- 10 minutes working on answering the question below, we will discuss afterwords what strategy you used to reach your answer so be prepared.
1. 2/3 ÷ 1/4

Cooking and Recipes

nwoods1_1 — 2024-07-15 00:15:18 UTC

Dividing fractions is a common task in cooking, especially when adjusting recipe sizes. For instance, if a recipe calls for 3/4 cups of sugar and you want to halve the recipe, you will need to divide 3/4 by 2.

Construction and Design

nwoods1_1 — 2024-07-15 00:15:18 UTC

In construction, workers often use fractional measurements. Dividing fractions helps in determining measurements for cutting materials accurately.

nwoods1_1 — 2024-07-15 00:22:23 UTC

Here students use fraction tiles or bars to visualize and understand how many of a certain fraction goes into another fraction. Use the link to use online manipulatives yourself. Fraction Tiles | Fraction Manipulatives Online | Oryxlearning

https://oryxlearning.com/manipulatives/fraction-tiles

nwoods1_1 — 2024-07-15 00:25:01 UTC

Example of how to use Fraction Tiles method for figuring out Division of Fractions method.

Solve TIME!!

nwoods1_1 — 2024-07-15 00:33:48 UTC

Spend the next 5- 10 minutes working on answering the question below, we will discuss afterwords what strategy you used to reach your answer so be prepared.
3. 3/7 ÷ 2/5

Solve TIME!!

nwoods1_1 — 2024-07-15 00:34:00 UTC

Spend the next 5- 10 minutes working on answering the question below, we will discuss afterwords what strategy you used to reach your answer so be prepared.
2. 1/6 ÷ 1/8

LET'S DISCUSS

nwoods1_1 — 2024-07-15 00:37:29 UTC

What are some answers everyone got to the question?

How did you get that answer, explain?

LET'S DISCUSS

nwoods1_1 — 2024-07-15 00:37:40 UTC

What are some answers everyone got to the question?

How did you get that answer, explain?

LET'S DISCUSS

nwoods1_1 — 2024-07-15 00:37:47 UTC

What are some answers everyone got to the question?

How did you get that answer, explain?

Why Does it Matter that we Learn this Skill?

nwoods1_1 — 2024-07-15 00:47:22 UTC