Question
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2. What part of the whole is shaded? Write in fraction and decimal notation.

Ask by Todd Chan. in the United States
Mar 21,2025

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Answer

To find the shaded part of the whole, divide the number of shaded parts by the total number of parts. For example, if 3 out of 8 parts are shaded, the fraction is 3/8, which is 0.375 in decimal.

Solution

1. First, determine the total number of equal parts that make up the whole. 2. Next, count how many of those parts are shaded. 3. Express the shaded portion as a fraction by writing \[ \text{Fraction Shaded} = \frac{\text{Number of Shaded Parts}}{\text{Total Number of Parts}}. \] 4. Simplify the fraction if possible. 5. To express the fraction as a decimal, divide the numerator by the denominator. For example, if a figure is divided into 8 equal parts and 3 of these parts are shaded: - The fraction of the whole that is shaded is \[ \frac{3}{8}. \] - Converting to decimal notation, divide 3 by 8: \[ 3 \div 8 = 0.375. \] Thus, in this example, the portion of the whole that is shaded is \(\frac{3}{8}\) or \(0.375\).

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Bonus Knowledge

Imagine a pie chart where two out of five slices are covered in delicious chocolate! In fraction notation, that means \( \frac{2}{5} \) of the whole pie is shaded. If we convert this into decimal notation, we simply divide 2 by 5, which gives us 0.4. So, you can think of it as 40% of your pie being extra tempting! Now, let’s visualize this: If you had 10 pieces of candy, and you took 4 to snack on while leaving 6 in the bowl, that's a little way to think about it too! In fraction form, that would still equal \( \frac{4}{10} \) (or simplified to \( \frac{2}{5} \)), and in decimal form, it remains 0.4. Sharing is caring, but sometimes, we just want to keep those chocolates all to ourselves!

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