document.write( "Question 1197215: the denominator of a fraction is 3 more than the numerator. if both numerator and denominator are increased by 1, the resulting fractions is 3/4 find the fraction? \n" ); document.write( "

Algebra.Com's Answer #830391 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Probably a formal algebraic solution, as shown by the other tutor, was what you wanted....

\n" ); document.write( "However, this kind of problem can be solved easily using logical reasoning and simple arithmetic.

\n" ); document.write( "The denominator of the fraction is 3 more than the numerator; when both numerator and denominator are increased by 1, the denominator is still 3 more than the numerator.

\n" ); document.write( "The requirement is that the resulting fraction (simplified) is 3/4. The task then is to write a fraction equivalent to 3/4 in which the denominator is 3 more than the numerator.

\n" ); document.write( "In the fraction 3/4, the denominator is only 1 more than the numerator, so multiply numerator and denominator by 3 to get an equivalent fraction in which the denominator is 3 more than the numerator.

\n" ); document.write( "So the resulting fraction, after adding 1 to numerator and denominator of the original fraction, is 9/12; and that means the original fraction was 8/11.

\n" ); document.write( "ANSWER: 8/11

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