Question 970318
To multiply a mixed number such as {{{6&3/5}}} , I would convert it into an improper fraction first.
{{{6&3/5=6+3/5=30/5+3/5=33/5}}}
That calculation would be expected to be done in your head,
so you would just write
{{{(5/7)*(6&3/5)=(5/7)*(33/5)=5*33/(7*5)}}}
At that point, you could simplify like this
{{{5*33/(7*5)=cross(5)*33/(7*cross(5))=highlight(33/7)}}} ,
or if crossing out is not allowed,
{{{5*33/(7*5)=(5/5)*(33/7)=1*(33/7)=highlight(33/7)}}} .
If the result needs to be expressed as a mixed number,
you could transform {{{33/7}}} into {{{highlight(4&5/7)}}} .
You would be expected to do so in your head,
but the thinking is described below.
We know that 33 divided by 7 is 4 with a remainder of 5,
or in other words, {{{33=4*7+5=28+5}}} , and so
{{{33/7=28/7+5/7=4+5/7=4&5/7}}}