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1.3. Briefly explain in your own words how fractions are linked to decimals and percentages. Use the fraction "two thirds" to show this relationship. Explain by giving two examples of this relationship to your grade 6 learner.

Ask by Long Collins. in South Africa
Jan 24,2025

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Answer

Fractions, decimals, and percentages all show parts of a whole. For example, "two thirds" can be written as 0.67 in decimal and 66.67% in percentage. So, two thirds equals 0.67 and 66.67%.

Solution

Fractions, decimals, and percentages are all different ways to show parts of a whole. They are like different languages for expressing the same idea. Let's use the fraction "two thirds" to see how they are connected. **1. Fraction to Decimal:** - The fraction **two thirds** means you have 2 out of 3 equal parts. - To convert it to a decimal, you divide 2 by 3. - **2 ÷ 3 = 0.666…**, which we can round to **0.67**. **2. Fraction to Percentage:** - A percentage is a way to express a number out of 100. - To convert **two thirds** to a percentage, first convert it to a decimal (0.67). - Then, multiply by 100: **0.67 × 100 = 66.67%**. **Examples:** 1. **Pizza Sharing:** - Imagine you and your friend are sharing a pizza. You each get **two thirds** of the pizza. - As a decimal, you each have **0.67** of the pizza. - As a percentage, you each have **66.67%** of the pizza. 2. **Classroom Participation:** - Suppose **two thirds** of your class completed their homework. - In decimal form, that's **0.67** of the class. - In percentage, it's **66.67%** of the class. By understanding that **two thirds** is the same as **0.67** or **66.67%**, you can easily switch between fractions, decimals, and percentages depending on what the situation calls for!

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Fractions, decimals, and percentages are all different ways to represent parts of a whole. When we talk about the fraction "two thirds," we mean that if something is divided into three equal parts, we are looking at two of those parts. To turn "two thirds" into a decimal, you simply divide 2 by 3, which gives you approximately 0.67. Now, to convert it to a percentage, you can take that decimal and multiply by 100. So, 0.67 times 100 equals about 67%. This means that two thirds is the same as saying you have 67 out of 100 parts of something! Fun, right? So, if your class is 30 students and you have two thirds, that would be 20 students, or 67% of your class!

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