Changing fractions to decimals and percents, Cheat Sheet of Mathematics

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CHANGING

FRACTIONS TO

DECIMALS

AND PERCENT

AND VICE

VERSA

Lesson Objectives At the end of this lesson, the students should be able to:

1. express fractions to decimals;
2. convert fractions to percent;
3. change decimals to fractions;
4. express decimals to percent;
5. convert percent to decimals;
6. change percent to fractions; and
7. apply knowledge of conversion to business problems.

Converting Fractions to

Percent

To convert fractions into percent, we change the fractions into decimal (by performing division), and move the decimal point two places to the right , then affix the percent symbol (%).

Converting Fractions to Percent

1 2 =¿ 1 ÷ 2 =¿0.05=¿ 𝟓𝟎 %

5 12 =¿ 5 ÷ 12 =¿0.41666=¿ 𝟒𝟏. 𝟔𝟕 %

8 11 =¿ 8 ÷ 11 =¿0.72727=¿ 𝟕𝟐^.^ 𝟕𝟑^ %

Converting Decimals to

Fraction

To change decimals to fraction , we convert a decimal into a fraction with a denominator in multiples of 10 (10, 100, 1000, etc.) and reduce the said fraction into lowest terms.

Converting Decimals to Fraction

**Example:

0.**

Converting Decimals to Percent

Converting Percent to Decimals To convert percent to decimal, we move the decimal point two places to the left and we drop the percent sign (%)****. This is exactly the opposite of what we did when we converted decimals to percent.

Converting Percent to Fraction To convert percent to fraction, we first change percent to decimal , then change the decimal to fraction and reduce to lowest terms****.

Converting Percent to Fraction Examples:

14%