document.write( "Question 355427: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ? \n" ); document.write( "

Algebra.Com's Answer #253960 by jsmallt9(3759) $\"\"$ $\"About$

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Let x = the unknown number. Then \"the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2\" translates into:
\n" ); document.write( " $\"%287%2Bx%29%2F%283%2Bx%29+=+3%2F2\"$
\n" ); document.write( "This is a proportion. We can use cross multiplication to solve:
\n" ); document.write( "(7+x)*2 = (3+x)*3
\n" ); document.write( "Now we solve. Start by simplifying:
\n" ); document.write( "14 + 2x = 9 + 3x
\n" ); document.write( "Get the variable terms on one side (by subtracting 2x from each side):
\n" ); document.write( "14 = 9 + x
\n" ); document.write( "Subtract 9 from each side:
\n" ); document.write( "5 = x \n" ); document.write( "

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