Question 93558
<pre>What is the smallest positive coterminal angle 
of 53pi/6? Express answer in radian measure in 
terms of pi.

1. divide by {{{2pi}}}
2. change to mixed fraction
3. discard whole part, keep fraction part
4. multiply by {{{2pi}}}


1. Divide {{{(53pi)/6}}} by {{{(2pi)/1}}}

{{{(53pi)/6}}}÷{{{(2pi)/1}}}

{{{(53pi)/6}}}×{{{1/(2pi)}}}

{{{53/12}}}

2. Change {{{53/12}}} to mixed fraction {{{4}}}{{{5/12}}}

3. Discard the whole number part, 4, and keep only the 
fraction part {{{5/12}}}

4. Multiply by {{{(2pi)/1}}}

{{{5/12}}}×{{{(2pi)/1}}}

the 2 cancels into the 12

{{{(5pi)/6}}}

Edwin</pre>