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**Fractions Decimals and Percents**

What do these three things have in common?

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**Think about the definitions of the three words…**

“Fraction”- means part of a whole. “Decimal” -means part of a whole. “Percent” - means part of 100. WHAT DO THEY HAVE IN COMMON?

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THE ANSWER IS... They can all be written as a fraction. They can all be written as a decimal. They can all be written as a percent. Click to continue and find out how to change FRACTIONS TO PERCENTS.

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PERCENTS FRACTIONS Step #1 Set up a proportion. Step #2 Use cross products to solve the proportion. Example: Express 4/5 as a percent. 4 = n 5 100 5 x n = 4 x 100 5 x n = 400 n = 80 Your answer is 4/5 equals 80%

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**Express the following fractions as percents.**

It’s your turn!!! Express the following fractions as percents. 25 20 = n Step #1 = n Step #2 20 x n = x 100 20 x n = n = 85 25 x n = 23 x 100 25 x n = n = Your answer is 17/20 equals 85% Your answer is 23/25 equals 92%

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**YEAH!!! You can now change FRACTIONS TO PERCENTS!!!**

On your own complete the last 7 problems on your worksheet. Before you continue with the rest of the program, show me your finished work.

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**PERCENTS FRACTIONS STEP #1 Write the percent in the numerator.**

Write 100 in the denominator. STEP #2 Write the fraction in simplest form. EXAMPLE: Express 75% as a fraction. 75 % = 75 100 75 divided by = 3 100 divided by 25 4 Your answer is 75 % equals 3/4

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It’s your turn!!! Express the following percents as fractions. % % Step #1 15% = 15 100 84% = 84 100 Step #2 84 divided by 4 = 21 100 divided by 15 divided by 5 = 3 100 divided by Your answer is 15 % equals 3/20 Your answer is 84% equals 21/25

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YEAH!!! You can now change PERCENTS TO FRACTIONS!!! On your own complete the last 7 problems on your worksheet. Before you continue with the rest of the program, show me your finished work.

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**DECIMALS PERCENTS STEP #1 Multiply the decimal by 100. “Shortcut”**

Move the decimal two places to the right. STEP #2 Write the number with the percent symbol. EXAMPLE: Write as a percent. .12 x 100 = 12 Notice how the decimal moved two places and is now at the end of the number. Add the % sign = 12%

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It’s your turn!!! Express the following decimals as percents. Step #1 Don’t forget the shortcut. .07 x 100 = 7 1.38 x 100 = 138 Step #2 .07 = 7% 1.38 = 138%

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**YEAH!!! You are almost done. You can now change **

DECIMALS TO PERCENTS!!! You’re #1 On your own finish the last 10 problems on your worksheet. Before you continue the program, be sure to show me your finished work.

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PERCENTS DECIMALS STEP #1 Divide the percent by 100. “Shortcut” Move the decimal point two places to the left. STEP #2 Omit the % symbol. EXAMPLE: Write 67 % as a decimal. 67 divided by = .67 Notice the decimal moves 2 places to the left. 67% = .67

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**1. 73% 2. 879% You are almost done! It’s your turn!**

Write the following percents as decimals. 1. 73% % Step #1 73 divided by 100 = .73 879 % divided by 100 = 8.79 Step #2 73% = .73 879% = 8.79

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**On your own complete the last 10 problems. **

YEAH! You can now change PERCENTS TO DECIMALS. LBMS On your own complete the last 10 problems. Before you continue the program, show me your finished work. YOU’RE THE BEST

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**You have successfully completed the program.**

Congratulations! You have successfully completed the program. You are excellent! If you have all of your work finished and checked by me, sign it on the last page and turn it in.

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