Today:December 11, 2014

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Fraction, Decimal, & Percent Unit

Warm-Up:

These fractions represent the only three ways to convert fractions to decimals. The denominator: a.) Is one of the place valuesb.) Divides evenly into one of the place values: Multiply top

and bottom by that amountc.) Either does not divide evenly into a place value, or you are not sure: Divide the numerator by the denominator

1. F𝐢𝐧𝐝 𝐭𝐡𝐞 𝐝𝐞𝐜𝐢𝐦𝐚𝐥 𝐞𝐪𝐮𝐢𝐯𝐚𝐥𝐞𝐧𝐭 𝐨𝐟 𝐞𝐚𝐜𝐡 𝐟𝐫𝐚𝐜𝐭𝐢𝐨𝐧:

𝟐𝟏

𝟏𝟎𝟎

𝟏𝟏

𝟐𝟓

𝟓

𝟗.21 .44 .55

Or, best of all, memorize , then multiply by 5. 𝟏

𝟗

𝟑

𝟓𝟐

𝟏𝟏

𝟒

𝟗

𝟐

𝟕

𝟑

𝟖

2. 𝐑𝐞𝐯𝐢𝐞𝐰 𝐅𝐫𝐨𝐦 𝐘𝐞𝐬𝐭𝐞𝐫𝐝𝐚𝐲: Write the Decimal equivalent

4. What number is 𝟏

𝟏𝟎of

20?

3. 𝟏

𝟏𝟎is what

percent?What % of 20 is

4?4 ÷ 20 = .20 =

20%

𝟐

𝟕of 30 is what

%?𝟐

𝟕of 50 is what

%?

Warm-Up:

Find 5% using mental math

Find 40% using mental math

1) 30

3) 801) 5

4) 1101) 20 3) 70

3) 64

4) 120

Find 25% using mental math 4) 1601)

10

3) 60

4) 90

2) 25

2) 20

2) 25

2) 48

Bonus Round: What is 95% of.. 50?

Mental MathPlease do not say answer until asked so

others may have time to solve. thx.

Solving Percent Problems

Percent IS

100 OF=

% = is

100 of20 = 30 100 x Cross multiply to find: 20x = 30(100)

20% of what number is 30?

x = 6, so our answer is 6%

What percent of 200 is 12?% = is 100 of

x = 12 100 200

200x = 12(100)

200x = 1200

2. Your restaurant has 3 people eating lunch now. This is 15% of the total seats in the restaurant. How many people can be seated at one time?

Example 3: Solve for the percent

=