SOLUTION: Angela spent 1/3 of her time studying science. She spent 1/4 as much time studying math as history. What fraction of Angela's study time was spent studying math?

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Question 750295: Angela spent 1/3 of her time studying science. She spent 1/4 as much time studying math as history. What fraction of Angela's study time was spent studying math?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Angela spent 1/3 of her time studying science.
She spent 1/4 as much time studying math as history.
What fraction of Angela's study time was spent studying math?
:
From the information: 2/3 of the time was devoted to math & history. therefore
m + h = 2/3
:
" She spent 1/4 as much time studying math as history."
m = 1%2F4h
mult by 4
4m = h
:
In the first equation: m + h = 2/3, replace h with 4m
m + 4m = 2/3
5m = 2/3
mult both sides by 1/5
m = 2%2F3 * 1%2F5
m = 2%2F15 of study time spent on Math