How to Find Percents?

How to Find Percents like a 6th Grader?

Mr. Alonzo

Percents are just another way to represent numbers (Take Notes)

• Percentages are just another way of representing (showing) numbers in math just like decimals and fractions.

• Percents can be converted into equivalent (equal) Decimals or Fractions.

• Percents stand for a value between 0 and 1 just like fractions do. (100% = 1 whole)

• Percents more than 100% are bigger than 1 whole (150% = 1.5)

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How to Turn a Decimal into a Percentage (Notes)

• To turn a Decimal into a Percent you multiply the Decimal by 100 and add a percent % sign.

• A quick short cut method to multiply your decimal by 100 is to hop the decimal to the RIGHT two times.

• The reason this makes sense is because the word Percent means out of 100.

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How to Turn a Percent into a Decimal (Notes)

• Now that you know how to turn a Decimal into a Percent turning a Percent into a Decimal is the same thing but in reverse.

• To turn a Percent into a Decimal you divide the Percent by 100 and then take away the Percent sign %

• An easy way to Divide any number by 100 is to move the decimal to the LEFT two times.

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How to turn a Fraction into a Percent (Notes)

• There are multiple ways to turn a Fraction into a Percent.

• One of the easiest ways to turn a Fraction into a Percent is to FIRST turn the Fraction into a Decimal and then turn the Decimal into a Percent.

Another way to turn Fractions into Percents (Notes)

• Since Percents means out of 100 you can convert your fraction into an equivalent fraction with 100 as the denominator.

• You just follow the three steps in the picture to the right.

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How to turn a Percent to a Fraction (Notes)

• Since Percent means out of 100 all you do is get rid of the percent % sign and put 100 as the denominator.

• ALWAYS SIMPLIFY!

Special Situations

• If your Percent turns into a Fraction with a decimal in the numerator you must get rid of the decimal.

• Once the Numerator has no decimal then you can simplify.

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What is 30% in Decimal form?

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What is 30% in Fraction form?

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What is 42% in Decimal form?

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What is 42% in Fraction form?

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What is 18% in Decimal form?

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What is 18% in Fraction form?

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What is 35% in Decimal form?

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What is 35% in Fraction form?

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What is 100% in Decimal form?

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What is 100% in Fraction form?

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What is 29% in Decimal form?

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What is 29% in Fraction form?

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What is 56% in Decimal form?

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What is 56% in Fraction form?

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What is  $66\frac{2}{3}\%$  in Decimal form? (Hint Stop at the thousandths place and do not round)*

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What is  $66\frac{2}{3}\%$  in Fraction form?

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What is 25% in Decimal form?

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What is 25% in Fraction form?

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What is 4.5% in Decimal form?

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What is 4.5% in Fraction form?

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What is 119% in Decimal form?

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What is 119% in Fraction form? (Hint your answer should be a mixed number)*

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What is 200% in Decimal form? 

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What is 200% in Fraction form? 

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What is 0.7% in Decimal form? 

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What is 0.7% in Fraction form? 

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What is  $5\frac{1}{2}$  in Decimal form? 

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What is  $5\frac{1}{2}$  in Fraction form? 

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Turn 0.03 into a Percent

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Turn 0.92 into a Percent

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Turn 0.18 into a Percent

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Turn  $\frac{2}{5}$  into a Percent

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Turn  $\frac{23}{25}$  into a Percent

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Turn  $\frac{7}{10}$  into a Percent

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Turn  $\frac{3}{400}$  into a Percent

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Turn 0.0054 into a Percent

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Bradley completed  $\frac{3}{5}$  of his homework. What percent of his homework does he still need to complete?

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After reading a book for English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class did not like the book. How many students liked the book?