Question

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

Answer 1

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.

Answer 2

The answer is B 11/20

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