# Daniel ate 0.55 of a candy bar. Which fraction represents the part of the candy bar that Daniel ate? A. 10/22 B. 11/20 C. 2/5 D. 3/4 E. 11/40

2 months ago

## Solution 1

Guest #10344
2 months ago

Step-by-step explanation:

To transform a decimal to a fraction you must do the following:

1. Multiply by an specific power of 10 until your decimal becomes a whole number. In this case 0.55 we multiply by 10 ^2 or 100 and we obtain 55.

2 Divide the decimal by this same power of 10 so that you do not change the original value. For example

0.55 *(100/100) = 55/100 As you see Im multiplying and dividing by 100 ( thats equivalent to 1 so it doesnt change the original number)

3 Simplify the fraction

To simplify your fraction you must find the Greatest Common Factor of 55 and 100. For doing this, you only perform a prime factorization. Divide 55 and 100 by the smallest common prime factor, besides 1. (For this case is 5) until you arrive to two number without common prime factors.

55/5 = 11

100/5 = 20

As 11 and 20 have no common prime factors it is the most simplified fraction

## Solution 2

Guest #10345
2 months ago
B, The greatest common factor for 55 and 100 is 5.Divide 55 by 5 and you get 11.Divide 100 by 5 and you get 20.In its simplest form, the fraction 55/100 equals 11/20.

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