*multiply by 100 by shifting the decimal*

*point two place to the right, and insert the*% for dividing by 100).

How do you do this problem 23-50 fractions to precents

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

Percent is simply a ratio. A ratio, a fraction whose denominator is always 100.

A ratio is a fraction, a division which indicates how many times the numerator of the fraction is greater or smaller than the denominator.

Literal meaning of percent is , out of hundred.

cent the unit of money is really Centidollar , meaning 1/100 of dollar , same as centimeter is 1/100 of

meter .

So conversion of a number to percentage is same as conversion of dollar to cents.

$ 2 = 2 * 100 / 100 = 200 * 1/00 = 200 c

2 = 2 * 100 / 100 = 200 * 1/100 = 200 %

The percentage value is greater than 100, for whole numbers.

Fractions always converted them to decimal fraction, and (*multiply by 100 by shifting the decimal
*

1/4 = 0.25 = 25 % 1/ 3 = 0.33 = 33 % 2/3 = 0. 667 = 66.7 %

Fractions with factors of 100 : 2, 4 , 5, 10, 20, 50,

1/4 = 25/100 1/5 = 20/100 1/20 = 5/100

We make the denominator 100 , by multiplying denominator and numerator by quotient of

hundred to the 2,4,5,10, 20, 25 50 ....

then 25/100 = 25% 4/100 = 0.04 .....

This is just demonstrate equivalency of the procedure.

If we convert to all fractions to decimal numbers, become easier and consistent.

Like in a mixed number:

5 1/4 = 5. 25 = 525 %

Otherwise have to carry a lot of unnecessary steps

5 1/4 = 21/ 4

21/ 4 =(21 * 25) / ( 4 * 25) = 525/100 = 525 %

Students entangle with a great deal of episode with percentage. Just think of converting dollar to

cents , then all those procedure make sense.

Timothy P. | Tim (Physics, Math, and Engineering)Tim (Physics, Math, and Engineering)

There are a few other was to think about fractions to decimals.

Always think about the denominator. How can you make it 100.

For example, 13/25. 4*25 gets me to 100. So if I multiply 25 by 4, then if I multiply 13 by 4, I get 52. This means my percent will be 52%.

The same goes for your problem. 50*2 gets you to 100, so multiply 23 by 2 and you get to 46. Therefore your percent is 46%

Now lets say you have a problem where the number does not multiply nicely into 100. For example, 13/30. That is not a pretty percent and you will have to round. You can complete the division of the two numbers:

_0.433

30|13.000

12.0

1.00

0.90

0.100

0.090

and so on...

_

This gives me a decimal of 0.43. To make this a percent, you move the decimal 2 spaces to the right to signify the change to a percent and due to the factor change of 100. 100% represents a whole, or one. 0.43 is a part of the whole so it is 43%.

I hope this helps!

Hi Rivera;

I believe this fraction is 23/50.

100%=1

(23/50)

If we multiply the top and bottom by 2, the bottom number will be 100.

23*2=46

50*2=100

46/100

46%

This is 46%, or 46/100 of the total, or 23/50 of the total.

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