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Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a decimal and a decimal can always be written as a percentage Converting Decimals to Percentages When converting a decimal to a percentage use these steps ↓ ↳ Step 1) Write out the problem before starting conversion Ex: 0.24 = __% ↳ Step 2) Take the decimal and multiply it by 100 or move the decimal point 2 places to the right Ex: 0.24 x 100 = __% 24 = __% ↳ Step 3) The new number that is created after the decimal was multiplied by 100 is the answer for the conversion Ex: 24 =___% 0.24 = 24% The Answer is 24% Converting Perctages to Decimals The steps to converting percentages to decimals are similar to the process above, but the steps are slightly different ↓ ↳ Step 1) Write out the problem before starting conversion Ex: 35% = -- ↳ Step 2) Take the percentage and divide the number by 100 or place a decimal point 2 places to the left of the number Ex: 35/100 0.35 ↳ Step 3) The new number that is created after dividing the number by 100 is the answer for the conversion Ex: 35%→ 35/100 = 0.35 The Answer is 0.35 Now that we...
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Alternative transcript:
know how to convert percentages into decimals and decimals into percentages, it is now time to convert percentages into fractions and fractions into percentages. Before going through the steps on how to convert fractions to percentages and vice versa, we will review how to convert decimals into fractions and fractions into decimals Converting Fractions to Decimals (Denominators that are factors of 100) The method on converting fractions to decimals can done in these steps ↳ Step 1) Write out the fraction that needs to be converted into a decimal Ex: 34 ↳ Step 2) Take the number 100 and divide it by the denominator Ex: 100/4 25 ↳ Step 3) Take the result of the division done in step 2 and multiply both the numerator and the denominator by that number Ex: 34(3 x 25)/(4 x 25) ↳ Step 4) Simplify the numbers within the parenthesis Ex: (75)/100 ↳ Step 5) Once the number 100 is in the denominator, place a decimal point 2 unites to the left of the number to get the decimal Ex: 75/100 → 0.75 The Answer is 0.75 Converting Decimals to Fractions (Denominators that are factors of 100) The method on converting decimals to fractions can done in these steps ↓ ↳ Step 1) Write out the decimal that needs to be converted into a fraction Ex: 0.25 ↳ Step 2) Take the decimal and multiply it by 100 to create the numerator Ex: 0.25 0.25 x 100 → 25 ↳ Step 3) Take the result of the division done in step 2 and set it as the numerator with a denominator of 100 Ex: 0.25→ 25/100 The Answer is 25/100 Now that we understand how to convert fractions into decimals and vice versa, lets apply what we learned and convert fractions into percentages and percentages into fractions Converting Fractions to Percentages (Denominators that are factors of 100) The method on converting fractions to percentages can done in these steps ↓ ↳ Step 1) Write out the fraction that needs to be converted into a percentage Ex: 5/100 ↳ Step 2) When the denominator of a fraction is 100, the numerator will be the percentage Ex: 5/100 → 5% The Answer is 5% Converting Fractions to Percentages (Denominators that are not factors of 100) The method on converting fractions to percentages can done in these steps ↳ Step 1) Write out the fraction that needs to be converted into a percentage Ex: 13 ↳ Step 2) Take the numerator a divide it by the denominator Ex: 1313 0.333... ↳ Step 3) Take the result of the division done in step 2 and multiply the decimal by 100 and/or move the decimal point 2 places to the right Ex: 0.3333...→ 33.3(repeating) The Answer is approximately 33% Converting Percentages to Fractions The method on converting fractions to percentages can done in these steps ↓ ↳ Step 1) Write out the percentage that needed to be converted to a fraction Ex: 86% ↳ Step 2) The whole number in the percentage will be the numerator for the fraction. The denominator will be 100 Ex: 86% 86/100 The Answer is 86/100 Finding Common Percentages Fractions 1 1/2 1/3 1/4 1/5 1/6 1/8 1/10 1/12 Decimals 1.0 0.5 0.33 0.25 0.2 0.166 0.125 0.1 0.083 Percentages 100% 50% 33.3% 25% 20% 16.6% 12.5% 10% 8.3%
Math middle school : Converting percents to decimals & fractions Percent of a whole number Converting between percents, fractions, & decimals Ways to rewrite a percentage Finding common percentages
Math middle school : Converting percents to decimals & fractions Percent of a whole number Converting between percents, fractions, & decimals Ways to rewrite a percentage Finding common percentages
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Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a decimal and a decimal can always be written as a percentage Converting Decimals to Percentages When converting a decimal to a percentage use these steps ↓ ↳ Step 1) Write out the problem before starting conversion Ex: 0.24 = __% ↳ Step 2) Take the decimal and multiply it by 100 or move the decimal point 2 places to the right Ex: 0.24 x 100 = __% 24 = __% ↳ Step 3) The new number that is created after the decimal was multiplied by 100 is the answer for the conversion Ex: 24 =___% 0.24 = 24% The Answer is 24% Converting Perctages to Decimals The steps to converting percentages to decimals are similar to the process above, but the steps are slightly different ↓ ↳ Step 1) Write out the problem before starting conversion Ex: 35% = -- ↳ Step 2) Take the percentage and divide the number by 100 or place a decimal point 2 places to the left of the number Ex: 35/100 0.35 ↳ Step 3) The new number that is created after dividing the number by 100 is the answer for the conversion Ex: 35%→ 35/100 = 0.35 The Answer is 0.35 Now that we...
Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a decimal and a decimal can always be written as a percentage Converting Decimals to Percentages When converting a decimal to a percentage use these steps ↓ ↳ Step 1) Write out the problem before starting conversion Ex: 0.24 = __% ↳ Step 2) Take the decimal and multiply it by 100 or move the decimal point 2 places to the right Ex: 0.24 x 100 = __% 24 = __% ↳ Step 3) The new number that is created after the decimal was multiplied by 100 is the answer for the conversion Ex: 24 =___% 0.24 = 24% The Answer is 24% Converting Perctages to Decimals The steps to converting percentages to decimals are similar to the process above, but the steps are slightly different ↓ ↳ Step 1) Write out the problem before starting conversion Ex: 35% = -- ↳ Step 2) Take the percentage and divide the number by 100 or place a decimal point 2 places to the left of the number Ex: 35/100 0.35 ↳ Step 3) The new number that is created after dividing the number by 100 is the answer for the conversion Ex: 35%→ 35/100 = 0.35 The Answer is 0.35 Now that we...
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Alternative transcript:
know how to convert percentages into decimals and decimals into percentages, it is now time to convert percentages into fractions and fractions into percentages. Before going through the steps on how to convert fractions to percentages and vice versa, we will review how to convert decimals into fractions and fractions into decimals Converting Fractions to Decimals (Denominators that are factors of 100) The method on converting fractions to decimals can done in these steps ↳ Step 1) Write out the fraction that needs to be converted into a decimal Ex: 34 ↳ Step 2) Take the number 100 and divide it by the denominator Ex: 100/4 25 ↳ Step 3) Take the result of the division done in step 2 and multiply both the numerator and the denominator by that number Ex: 34(3 x 25)/(4 x 25) ↳ Step 4) Simplify the numbers within the parenthesis Ex: (75)/100 ↳ Step 5) Once the number 100 is in the denominator, place a decimal point 2 unites to the left of the number to get the decimal Ex: 75/100 → 0.75 The Answer is 0.75 Converting Decimals to Fractions (Denominators that are factors of 100) The method on converting decimals to fractions can done in these steps ↓ ↳ Step 1) Write out the decimal that needs to be converted into a fraction Ex: 0.25 ↳ Step 2) Take the decimal and multiply it by 100 to create the numerator Ex: 0.25 0.25 x 100 → 25 ↳ Step 3) Take the result of the division done in step 2 and set it as the numerator with a denominator of 100 Ex: 0.25→ 25/100 The Answer is 25/100 Now that we understand how to convert fractions into decimals and vice versa, lets apply what we learned and convert fractions into percentages and percentages into fractions Converting Fractions to Percentages (Denominators that are factors of 100) The method on converting fractions to percentages can done in these steps ↓ ↳ Step 1) Write out the fraction that needs to be converted into a percentage Ex: 5/100 ↳ Step 2) When the denominator of a fraction is 100, the numerator will be the percentage Ex: 5/100 → 5% The Answer is 5% Converting Fractions to Percentages (Denominators that are not factors of 100) The method on converting fractions to percentages can done in these steps ↳ Step 1) Write out the fraction that needs to be converted into a percentage Ex: 13 ↳ Step 2) Take the numerator a divide it by the denominator Ex: 1313 0.333... ↳ Step 3) Take the result of the division done in step 2 and multiply the decimal by 100 and/or move the decimal point 2 places to the right Ex: 0.3333...→ 33.3(repeating) The Answer is approximately 33% Converting Percentages to Fractions The method on converting fractions to percentages can done in these steps ↓ ↳ Step 1) Write out the percentage that needed to be converted to a fraction Ex: 86% ↳ Step 2) The whole number in the percentage will be the numerator for the fraction. The denominator will be 100 Ex: 86% 86/100 The Answer is 86/100 Finding Common Percentages Fractions 1 1/2 1/3 1/4 1/5 1/6 1/8 1/10 1/12 Decimals 1.0 0.5 0.33 0.25 0.2 0.166 0.125 0.1 0.083 Percentages 100% 50% 33.3% 25% 20% 16.6% 12.5% 10% 8.3%