How To Multiply Percentages Using Decimals and Fractions

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How To Multiply Percentages Using Decimals and Fractions

By indeed Editorial Team

May 6, 2021TwitterLinkedInFacebookEmail Calculating percentages can help you in your daily life sentence. coarse examples of when you may need to multiply percentages are for sales tax, discounts, leaving tips, earning committee or calculating interest. Knowing how to multiply share is a useful skill, particularly if you need to solve share problems without a calculator. In this article, we discuss what a share is, how to multiply percentages, how to convert percentages into decimals and fractions and how to multiply a percentage by another percentage, a unharmed number, a decimal and a divide .

What is a percentage?

A percentage, or percentage, is a proportion between two numbers expressed in hundredths. A percentage is often used to define a fractional part of a wholly. sometimes you ‘ll see it referred to as “ per one hundred, ” “ for every 100 ” or “ out of 100. ” Percents are a park mathematical term and used frequently in basic mathematics, statistics, probability and other mathematical calculations. many industries use percentages on a daily footing. For exercise, in the finance industry you use percents to find the rate of render, market shares, interest rates and emergence trends. Consumers encounter percents every time they go shopping, since the shop applies sales tax to their bill as a percentage .

Multiplying with percentages

When you have a mathematics problem that requires you to multiply one or more percentages, you must first convert the share into a decimal fraction or divide. You can not calculate a multiplication mathematics trouble correctly without first making this conversion. In most cases, unless the guidance specify, it does n’t matter whether you convert the percentages into decimals or fractions. Unless there is a reason to use one over the other, it is a personal predilection and you may choose either. By itself, a percentage is barely a representation of a part of a whole. When multiplying percents by another count, the operation creates a new value adequate to the given percentage of the original numeral. If the share measure is under 100, the merchandise will be less than the original act. For exercise, 50 % x 300 = 150. If the share sum is over 100, the product will be greater than the original issue. For case, 200 % x 300 = 600. Related : How To Calculate percentage

How to convert a percent to a decimal

The serve for changing a percentage into a decimal fraction is simple, barely follow these steps :

1. Start with a percentage

Locate the share you want to convert to a decimal fraction. For this mathematics problem, use the value 78 % .

2. Divide by 100

Take the share 78 % and set up a division problem to divide it by 100. 78 % / 100 = .78 Anytime you divide by 100, you move the decimal point two places to the left. This fiddling whoremaster will help you convert percentages to decimals very quickly. rather of setting up a class problem, fair find the decimal fraction point and move it two places to the left field .

3. Remove the percentage sign

The last step is to double-check that you removed the share sign. Once you divide the percentage by 100, the share signal no farseeing applies because the value is now a decimal alternatively of a percentage. here are some examples of converting a percentage to a decimal fraction : 65 % = .65 13.45 % = 0.1345 279 % = 2.79 Related : How To Calculate Percentage, Percentage Change and Percentage Difference

How to convert a percent to a fraction

The process for changing a percentage into a fraction is simple, precisely follow these steps :

1. Start with a percentage

Locate the share you want to convert to a decimal. For this mathematics problem, use the measure 78 % .

2. Divide by 100

Take the percentage 78 % and set up a division problem in the imprint of a divide to divide it by 100. 78/100 Remember that the divide banish separating the two numbers is actually a division symbol. however, rather of working out the division problem to get a decimal value, we are going to leave the division trouble as a fraction and reduce it if possible. 78/100 = 39/50 If the percentage is not a hale total, you can multiply both the top and the bottom of the divide by 10 for each phone number after the decimal point. For exemplar : 62.5/100 = 625/1000

3. Remove the percentage sign

The last gradation is to double-check that you removed the share sign. Once you place the percentage over 100, the share polarity nobelium long applies because the rate is now a fraction alternatively of a percentage. here are some exemplar of converting a percentage to a decimal : 28 % = 7/25 325 % = 13/4 or 3 1/4 1.76 % = 176/10000 Related : How To Calculate Percentages in 3 easy Steps ( With Examples )

How to multiply percentages

When you multiply a percentage by another share, you must convert both of the percentages into decimals or fractions before you can multiply. here are the steps :

1. Convert

Take the mathematics problem and decide whether you want to convert both percentages into decimals or fractions. So you can see it both ways, this example will show both conversions. For decimals : If the mathematics problem is 25 % ten 32 %, convert the percentages into decimals. 25 % = .25 32 % = .32 For fractions : If the mathematics trouble is 25 % ten 32 %, convert the percentages into fractions. 25 % = 25/100 = 1/4 32 % = 32/100 = 8/25

2. Substitute

now that you ‘ve converted the percentages into either decimals or fractions, substitute the modern values into the trouble.

For solving as decimals : .25 x .32 = ? For solving as fractions : 1/4 ten 8/25 = ?

3. Solve

The last step is to do the multiplication operation and multiply the two numbers together for a final answer. If you ‘re using fractions, remember to check if you can reduce the concluding answer. For solving as decimals : .25 x .32 = .08 For solving as fractions : 1/4 x 8/25 = 8/100 = 2/25 Related : How To Calculate Average percentage : formula and Examples

How to multiply a percentage by a whole number

When you multiply a percentage by a hale number, you must convert the percentage into either a decimal fraction or a fraction before you can multiply. here are the steps :

1. Convert

Take the mathematics problem and decide whether you want to convert both percentages into decimals or fractions. So you can see it both ways, this example will show both conversions. For solving with a decimal fraction : If the mathematics problem is 66 % adam 5, convert the percentage into a decimal fraction. 66 % = .66 For solving with a fraction : If the mathematics problem is 66 % ten 5, convert the percentage into a fraction. 66 % = 66/100 = 2/3

2. Substitute

now that you ‘ve converted the percentage into either a decimal or a fraction, substitute the modern values into the problem. For solving with a decimal : .66 x 5 = ? For solving with a fraction : 2/3 ten 5 = ?

3. Solve

The survive step is to do the multiplication operation and multiply the two numbers together for a final answer. If you are using fractions, remember to check if you can reduce the concluding answer. For solving with a decimal : .66 x 5 = 3.3 For solving with a fraction : 2/3 x 5 =2/3 x 5/1 = 10/3 = 3 1/3

How to multiple a percentage by a decimal

When you multiply a share by a decimal, you must convert the percentage into a decimal before you can multiply. In this case, it would n’t make sense to convert the percentage into a fraction. here are the steps :

1. Convert

Take the mathematics problem and convert the percentage into a decimal. If the mathematics problem is $ 1.60 x 275 %, convert the percentage into a decimal. 275 % = 2.75

2. Substitute

now that you ‘ve converted the share into a decimal, substitute the fresh rate into the trouble. $ 1.60 x 2.25 = ?

3. Solve

The death step is to do the multiplication operation and multiply the two numbers together for a final examination answer. Since this example uses money, remember to keep the dollar symbol on your final solution. $ 1.60 x 2.25 = $ 3.60 Related : How To Calculate Percentage Difference

How to multiple a percentage by a fraction

When you multiply a percentage by a divide, you must convert the percentage into a fraction before you can multiply. In this case, it would n’t make sense to convert the percentage into a decimal. here are the steps :

1. Convert

Take the mathematics problem and convert the percentage into a divide. If the mathematics problem is 45 % ten 8/15, convert the percentage into a fraction. 45 % = 45/100 = 9/20

2. Substitute

immediately that you ‘ve converted the percentage into a fraction, substitute the newly prize into the trouble. 9/20 adam 8/15 = ?

3. Solve

The last step is to do the generation operation and multiply the two numbers together for a final answer. Since this case uses a divide, remember to reduce your final answer.

9/20 adam 8/15 = 72/300 = 6/25

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