Question

In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team win? Let x=0.4 repeating

Answer 1

`x = (4)/(9)`

Explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

`x = 0.444`

Convert to fraction

`x = (444)/(1000)`

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

`x = (444)/(1000 - 1)`

`x = (444)/(999)`

Simplify to the lowest term: Divide numerator and denominator by 37

`x = (444/37)/(999/37)`

`x = (12)/(27)`

Simplify to the lowest term: Divide numerator and denominator by 3

`x = (12/3)/(27/3)`

`x = (4)/(9)`

Hence;

There winning fraction is
`(4)/(9)`