Convert between fractions, decimals and percents.

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Presentation transcript:

Convert between fractions, decimals and percents.

Write the ratio of red balloons to yellow balloons Write a ratio in simplest form. 6 red balloons and 6 yellow balloons were used for a party. Write the ratio of red balloons to yellow balloons Write the ratio of red balloons to all balloons Write the ratio of yellow balloons to all balloons Solve the proportion:

Percent: Per cent => Per 100 Out of 100 100 A fraction with a denominator of 100.

Write % as Fractions & Decimals To write a percent as a decimal, Divide it by 100 92% To write a percent as a fraction, Put it over 100 92 Abc 100

Change a Fraction to a % Top Bottom Make it 2 digits after the decimal point 0.60 60%

Exit Problems Write 15% as a fraction Write 15% as a decimal. Write 0.81 as a percent. Write as a percent.

Fractions, Decimals and Percents Lesson 12 Proportionality Fractions, Decimals and Percents

Communication Prompt Which do you prefer when writing a fraction as a percent: -rewriting the fraction with 100 in the denominator OR -writing the fraction as a decimal and multiplying the decimal by 100? Why?

Example 3a Write the fraction as a percent. Method 1: Rewrite as fraction . Write the percent. 70% Method 2: Multiply decimal by 100. Convert to a decimal. Multiply by 100. 0.7·100 = 70 Write with % symbol. 70%

Example 2c Write each decimal as a percent. c. 1.44 Method 1: Rewrite as a fraction . Method 2: Multiply by 100. 1.44·100 = 144%

Example 1 Write each percent as a fraction and a decimal. a. 25% Convert to a fraction and simplify. Convert to a decimal. 1 ÷ 4 = 0.25 25% = = 0.25 b. 88% Convert to a decimal. 22 ÷ 25 = 0.88 88% = = 0.88

Example 2ab Write each decimal as a percent. a. 0.65 Method 1: Rewrite as a fraction . Method 2: Multiply by 100. 0.65·100 = 65% b. 0.5 Method 1: Rewrite as a fraction . Method 2: Multiply by 100. 0.5·100 = 50%

Example 3b Write the fraction as a percent. Method 1: Rewrite as fraction . Write the percent. 40% Method 2: Multiply decimal by 100. Convert to a decimal. Multiply by 100. 0.4·100 = 40 Write with % symbol. 40%

Example 3c Write the fraction as a percent. Method 1: Rewrite as fraction . 3 does not divide evenly into 100 use Method 2 Method 2: Multiply decimal by 100. Convert to a decimal. Multiply by 100. Write with % symbol.