Changing fractions to decimals and percents, Cheat Sheet of Mathematics

Download Changing fractions to decimals and percents and more Cheat Sheet Mathematics in PDF only on Docsity! S » \ CHANGIN . ‘Ss RACTIONS | 0 DECIMALS \ AND PERCE 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 1. 1 2 =¿1÷2=¿0.05=¿𝟓𝟎% 2. 5 12 =¿5÷12=¿0.41666=¿𝟒𝟏 .𝟔𝟕% 3. 8 11 =¿8÷11=¿0.72727=¿𝟕𝟐 .𝟕𝟑% Exercises 1. 3 5 =¿3÷5=¿0.6=¿6 2. 4 15 =¿4 ÷15=¿0.26666=¿26 3. 6 25 =¿6÷25=¿0.24=¿24 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 Percent 1. 0.56 = 2. 1.32 = 3. 0.04 = 132 % 56% 4% 4. 0.143 =14.3% 5. 0.25666… = 25.67% 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 Decimals Example : 1. 25% = 0.2 5 2. 5% = 0.0 5 3. 21.52% = 0.212 5 4. 1.50% = 0.015 5. 380% = 3.8