Question

Please help! Simplify complex fraction:
29+(2/3)x/72+x

Answer 1

Complex as in "difficult" or complex as in "has an imaginary part"?

Answer 2

Complex Fraction: Fraction that has a fraction as part of its numerator, denominator, or both. In other words, difficult. Can you help me?

Answer 3

Sure thing.
\[\frac{29+\frac{2}{3}x}{72+x}\]
Get a common denominator for the top part.
\[29+\frac{2}{3}x=\frac{29*3}{3}+\frac{2x}{3}=\frac{87}{3}+\frac{2x}{3}=\frac{2x+87}{3}\]
Our fraction is now\[\frac{\frac{2x+87}{3}}{72+x}=\frac{2x+87}{3}\frac{1}{x+72}\]
\[=\frac{2x+87}{3x+216}\]
Might want to have someone check my work. I may have made a mistake in there.

Answer 4

Thank you a bunch! :)

Answer 5

No problem :)