document.write( "Question 347464: what is 1/2 divided by 3/4 \n" ); document.write( "
Algebra.Com's Answer #248440 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
  • Any number can be written as a fraction. Some numbers are fractions to begin with. And whole numbers like 7 can be written as 7/1. And mixed numbers, like \"3%262%2F9\", can be written as an improper fraction: \"3%262%2F9+=+%283%2A9%2B2%29%2F9+=+29%2F9\".
  • If you take the fraction form of a number and flip it upside down, you have the reciprocal of the original number.
  • Whenever you divide by some number, you can change it to multiplication by the reciprocal of that number. When working with fractions, this is pretty much the only way you will learn to divide. You will change it to multiplying by the reciprocal.

\n" ); document.write( "So for 1/2 divided by 3/4, you change to multiplying by the reciprocal of 3/4:
\n" ); document.write( "\"%281%2F2%29%2A%284%2F3%29\"
\n" ); document.write( "Note the the first number stays the same! You only flip the second number upside down!
\n" ); document.write( "Now you finish by multiplying and reducing:
\n" ); document.write( "\"%281%2F2%29%2A%284%2F3%29+=+4%2F6+=+2%2F3\"

\n" ); document.write( "
\n" ); document.write( "
\n" );