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

Answer:

$x = \frac{4}{9}$

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

$x = 0.444$

Convert to fraction

$x = \frac{444}{1000}$

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

$x = \frac{444}{1000 - 1}$

$x = \frac{444}{999}$

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

$x = \frac{444/37}{999/37}$

$x = \frac{12}{27}$

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

$x = \frac{12/3}{27/3}$

$x = \frac{4}{9}$

Hence;

There winning fraction is $\frac{4}{9}$