MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Other Middle and High School Contests
Purple Comet Problems
2018 Purple Comet Problems
3
Purple Comet 2018 MS problem 3
Purple Comet 2018 MS problem 3
Source:
March 19, 2020
algebra
Problem Statement
The fraction
(
1
3
+
1
3
+
1
+
1
3
3
)
/
(
3
1
3
+
1
+
1
1
+
3
)
\left(\frac{\frac13+1}{3} +\frac{1+ \frac13}{3} \right) / \left(\frac{3}{\frac{1}{3+1}+\frac{ 1}{1+3}}\right)
(
3
3
1
+
1
+
3
1
+
3
1
)
/
(
3
+
1
1
+
1
+
3
1
3
)
can be written as
m
n
\frac{m}{n}
n
m
, where
m
m
m
and
n
n
n
are relatively prime positive integers. Find
m
+
n
m + n
m
+
n
.
Back to Problems
View on AoPS