<PRE><B>Question 523607</B>
What number multiplied by the numerator and added to the denominator of the fraction 2/5 makes the resulting fraction 3/4?


Let the number be N


Then: {{{2N/(5 + N) = (3/4)}}}


3(5 + N) = 8N ----- Cross-multiplying


15 + 3N = 8N


3N – 8N = - 15 


– 5N = - 15


N, or number = {{{(- 15)/- 5}}}, or {{{15/5}}}, or {{{highlight_green(3)}}}


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Check
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{{{2(3)/(5 + 3) = 3/4}}}


{{{6/8 = 3/4}}} 


{{{3/4 = 3/4}}} (TRUE)


Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com</PRE>