SOLUTION: I am really having trouble finding the fractional part of a circle.. Ex. I have 1 whole circle... 3/7 and 1/4 are taken..how do I find out what the remaining shaded part is?

Question 1016892: I am really having trouble finding the fractional part of a circle.. Ex. I have 1 whole circle... 3/7 and 1/4 are taken..how do I find out what the remaining shaded part is?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
3/7 and 1/4 are taken out of 1.

your solution should be 1 - 3/7 - 1/4.

find a common denominator.

it helps if it's the least common denominator, but it doesn't have to be.

since your denominators are 1,4,7, then the least common denominator will probably be 28.

multiples of 4 are 4,8,12,16,20,24,28
common multiples of 7 are 7,14,21,28
multiples of 1 are 1,2,3,4,5,......,28

looks like 28 is the least common multiple.

1 is equivalent to 28/28 because 1/1 * 28/28 is equal to 28/28.
1/4 is equivalent to 7/28 because 1/4 * 7/7 = 7/28.
3/7 is equivalent to 12/28 because 3/7 * 4/4 = 12/28.

so, inste4ad of 1 - 1/4 - 3/7, you have 28/28 - 7/28 - 12/28 which is equal to (28 - 7 - 12) / 28 which is equal to (28 - 19) / 28 which is equal to 9/28.

you can use your calculator to confirm that you did it right.

use your calculator to get 3/7 + 1/4 + 9/28 = 1.

this confirms that you did the calculations correctly.

adding or subtracting any fraction requires you to convert all the fractions to a common denominator.

if they're simple, like adding 1/2 and 3/4, you can probably do the conversion in your head.

if they're more complex, as in this one, then taking the time to convert them on paper is definitely the time required to do so.

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