document.write( "Question 625901: If b = 83 1/3% of c, and a = 60% of b, what percent is a of c? \n" ); document.write( "

Algebra.Com's Answer #393870 by josmiceli(19441) $\"\"$ $\"About$

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First, I want to find 83 1/3 % as a fraction
\n" ); document.write( "I'll say $\"+.8333+=+1%2Fk+\"$
\n" ); document.write( " $\"+1%2Fk+=+1%2F1.2+\"$
\n" ); document.write( "Multiply top and bottom by $\"+5+\"$
\n" ); document.write( " $\"+1%2F1.2+=+5%2F6+\"$
\n" ); document.write( "So, 83 1/3 % = 5/6
\n" ); document.write( "Then, $\"++b%2Fc+=+5%2F6+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "And 60% = $\"++6%2F10+\"$
\n" ); document.write( " $\"+6%2F10+=+3%2F5+\"$ , so
\n" ); document.write( " $\"+a%2Fb+=+3%2F5+\"$
\n" ); document.write( "------------
\n" ); document.write( " $\"+b%2Fc+=+5%2F6+\"$
\n" ); document.write( " $\"+b+=+%285%2F6%29%2Ac+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+a%2Fb+=+3%2F5+\"$
\n" ); document.write( " $\"+a+=+%283%2F5%29%2Ab+\"$
\n" ); document.write( " $\"+a+=+%283%2F5%29%2A%285%2F6%29%2Ac+\"$
\n" ); document.write( " $\"+a+=+%281%2F2%29%2Ac+\"$
\n" ); document.write( " $\"+a%2Fc+=+.5%2F1+\"$
\n" ); document.write( "Multiply top and bottom of the right side by $\"+100+\"$
\n" ); document.write( " $\"+a%2Fc+=+50%2F100+\"$
\n" ); document.write( " $\"+a+=+%28+50%2F100%29%2Ac+\"$
\n" ); document.write( " $\"+50%2F100+\"$ = 50%
\n" ); document.write( "a is 50% of c \n" ); document.write( "

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