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welcome to math with mr. J in this video

I'm going to cover finding a percent of

a number and we are going to do that by

multiplying the number by the fraction

form or decimal form of the percent and

as you can see there are three examples

that we're going to go through together

in order to get this down so let's jump

right into number one where we have 50

percent of 16 and again we need to

multiply that 16 by the fraction form or

decimal form of the percent I will do

both for number 1 so let's do fraction

form first and the fraction form of 50%

or any percent you just put the percent

over 100 percent means per 100 so 50

hundredths now whenever we have a

percent of a number of fraction of a

number or decimal of a number it is a

multiplication problem we can replace

the of with a multiplication sign so 50

hundredths times 16 and we'll put it

over one so that fraction still holds

the value of 16 we just have a numerator

and a denominator now now we multiply

straight across 50 times 16 is eight

hundred and 100 times 1 is 100 and

that's improper so we need to do 800

divided by 100 which is 8 now as you can

see that improper fraction answer 800

over a hundred got fairly large and

value those numbers so what we can do if

you know a simplified version of the

fraction right 50 hundredths is a half

those are equivalent fractions so we can

replace 50 hundredths with one half

multiply it by our number and we get 16

over 2 which is a lot more manageable

than 800 and 100 there so we get to 16

divided by 2 and we get the same answer

of 8 so again you can use the simplified

version of the fractional fractional

form of the percent so again what we did

we multiplied the fractional form of 50%

by 16 our next method you can do on the

decimal form of the percent times the

number and the decimal form of 50% is 50

hundredths right that's equivalent to

this fraction here it's just in a

decimal form times 16 and if we were to

multiply that out by hand or calculator

whatever the case may be you're going to

get to the same answer of 8 so again

decimal form of that percent times the

number 16 let's take a look at number 2

25 percent of 20 so we'll do the

fractional form first

remember percent means per 100 or out of

100 so 25 out of 100 times 20 25 times

20 gives us 500 100 times 1 is 100 and

we get to 500 divided by 100 improper to

a division problem there 500 divided by

100 equals 5 so 25 percent of 20 is 5

and again we can use the simplified

fraction of 25 hundredths which is 1/4

so just to show you another way here we

can do 1/4

times 20 and we get 20 over 4 which

gives us the same answer 5 and then the

decimal way the decimal form of 25% is

25 hundredths times 20 so again if we

punch that into a calculator or do it

out by hand we're going to get the same

answer of 5 and lastly number 3

65 % of 15 so in order to put a percent

to fractional form we put it over 100

multiply it by 15 we can go straight

across which we get 975 over 100 so we

need to convert out of that improper

fraction so how many whole groups of 100

out of 9 75 well 9 we have 75 left over

out of 100 so 9 and 75 hundredths I'll

put it in decimal form as well 9 + 75

hundredths or we can multiply by the

decimal form of 65 percent which would

be 65 hundredths times 15 multiply it

out and we're going to get the same

thing 9 + 75 hundredths so there you

have it there's how you find a percent

of a number multiply the number you're

finding the percent of by the fractional

form or decimal form of the percent and

you'll get that percent of the number

hopefully that helped thanks so much for

watching

until next time peace