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Converting Fractions to Decimals

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1 Converting Fractions to Decimals
Adapted from free Powerpoints from the website:

2 Discussion Explain what a fraction is Explain what a decimal is
Find a decimal that is equivalent to ¼ What method did you use to find this?

3 Complete the following
Problem of the Day Complete the following Compare 5/13 to 4/9 Compare to 0.4

4 Fraction is a comparison of two numbers
5/13 to 4/9 To compare the size of each part, the “whole” must be cut into the same size; the denominators must be the same

5 Converting Fractions to Decimals
To convert a Fraction to a Decimal manually, follow these steps: Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. Step 2: Multiply both top and bottom by that number. Step 3. Then write down just the top number, putting the decimal place in the correct spot (one space from the right for every zero in the bottom number)

6 Method #1: Converting with Proportions
Example # 1: Express 3/4 as a Decimal Step 1: We can multiply 4 by 25 to become 100 Step 2: Multiply top and bottom by 25 3 = 75

7 Example # 1 continued…. Step 3: Write down 75 with the decimal place 2 spaces from the right (because 100 has 2 zeros); Answer = 0.75 Can you explain what we just did? Try to express ¼ as a decimal using method # 1.

8 Method #2: Convert by Dividing
Example #1: to write 5/8 as a decimal, we need to calculate 5 ÷ 8: 8 √ 5.000 So = as a decimal. Try this example: write 4/5 as a decimal using division (method #2).

9 .80 4 0

10 Lets Practice!! We are going to use this website to fish out some fractions and decimals. Lets see how well you understand this lesson. Go to Select “Math” in the left margin Select “Fishy Fractions” Select “Fractions and Decimal Match”

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