document.write( "Question 970318: 5/7 times 6 3/5
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #593024 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
To multiply a mixed number such as $\"6%263%2F5\"$ , I would convert it into an improper fraction first.
\n" ); document.write( " $\"6%263%2F5=6%2B3%2F5=30%2F5%2B3%2F5=33%2F5\"$
\n" ); document.write( "That calculation would be expected to be done in your head,
\n" ); document.write( "so you would just write
\n" ); document.write( " $\"%285%2F7%29%2A%286%263%2F5%29=%285%2F7%29%2A%2833%2F5%29=5%2A33%2F%287%2A5%29\"$
\n" ); document.write( "At that point, you could simplify like this
\n" ); document.write( " $\"5%2A33%2F%287%2A5%29=cross%285%29%2A33%2F%287%2Across%285%29%29=highlight%2833%2F7%29\"$ ,
\n" ); document.write( "or if crossing out is not allowed,
\n" ); document.write( " $\"5%2A33%2F%287%2A5%29=%285%2F5%29%2A%2833%2F7%29=1%2A%2833%2F7%29=highlight%2833%2F7%29\"$ .
\n" ); document.write( "If the result needs to be expressed as a mixed number,
\n" ); document.write( "you could transform $\"33%2F7\"$ into $\"highlight%284%265%2F7%29\"$ .
\n" ); document.write( "You would be expected to do so in your head,
\n" ); document.write( "but the thinking is described below.
\n" ); document.write( "We know that 33 divided by 7 is 4 with a remainder of 5,
\n" ); document.write( "or in other words, $\"33=4%2A7%2B5=28%2B5\"$ , and so
\n" ); document.write( " $\"33%2F7=28%2F7%2B5%2F7=4%2B5%2F7=4%265%2F7\"$ \n" ); document.write( "

\n" );