1. Percents

2. Unit 6 – Converting Fractions and Decimals to Percents

3. Writing Decimals as Percents
Write each decimal as a percent.
To change a decimal to a percent, multiply by 100.
0.37
37%
0.5
50%
0.125
12.5%
Looping the decimal point two places to the right is the same as multiplying by 100.

4. Write each fraction as a percent. Write 4 5 as a percent
Writing Fractions as Percents
Write each fraction as a percent.
Write as a percent
Method 1 – Multiply by 100%
Step1: Multiply by 100%
𝟒 𝟓 × 100%
Step 2: Reduce if possible
Step 3: Multiply & Simplify
80%
Method 2 – Equivalent Ratios
Step1: Multiply or divide by a factor to get 100 as the denominator
𝟒 𝟓 × 𝟐𝟎 𝟐𝟎 = 𝟖𝟎 𝟏𝟎𝟎
Step 2: change the fraction over 100 into a percent
80%

5. Writing Decimal Percents as Fractions
Write each percent as a fraction in lowest terms.
40.2%
Step 1: Rewrite the percent as a fraction.
𝟒𝟎.𝟐 𝟏𝟎𝟎
Step 2: Multiply by a power of 10 to get rid of the decimal point. In this case, the decimal point needs to move one place, so multiply by 10 over 10. If it needed to move two places multiply by 100 over 100 and so on.
𝟒𝟎.𝟐 𝟏𝟎𝟎 × 𝟏𝟎 𝟏𝟎 = 𝟒𝟎𝟐 𝟏𝟎𝟎𝟎
Step 3: Reduce fully
𝟒𝟎𝟐 𝟏𝟎𝟎𝟎 ÷ 𝟐 𝟐 = 𝟐𝟎𝟏 𝟓𝟎𝟎