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?
:
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 = {{{1/4}}}h
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 = {{{2/3}}} * {{{1/5}}}
m = {{{2/15}}} of study time spent on Math