Question 235452
what is the answer to {{{3&1/3}}} divided by {{{2/5}}}
<pre><font size = 4 color = "indigo"><b>
{{{3&1/3}}}÷{{{2/5}}}

Change {{{3&1/3}}} to an improper fraction {10/3}}}

{{{10/3}}}÷{{{2/5}}}

Invert the second fraction and change the ÷ to ×

{{{10/3}}}×{{{5/2}}}

Cancel the {{{2}}} in the denominator of the second fraction
into the numerator of the first fraction:

{{{(cross(10)^5)/3}}}×{{{5/(cross(2)[1])}}}

Multiply the numerators {{{5}}}×{{{5}}} getting {{{25}}}
Multiply the denominators {{{3}}}×{{{1}}} getting {{{3}}}

{{{25/3}}}

Change to a mixed fraction:

Answer {{{8&1/3}}}

Edwin</pre>