Question

Simplify
2-x/3
------
5+x/8

Answer 1

Openstudy is a place to study and learn. Try to apply what you just learned rather than having the website do your homework.

Answer 2

multiply top and bottom by 24 to clear the fractions. don't forget distributive law

Answer 3

got it or no?

Answer 4

\[\frac{2-\frac{x}{3}}{5+\frac{x}{8}}\times \frac{24}{24}\]

Answer 5

2/5?

Answer 6

oh no dear your answer will have an x in it. lets go slow

Answer 7

only thing we are trying to do is to clear the fractions

Answer 8

so least common multiple of 3 and 8 is just 3*8=24

Answer 9

multiply top by 24 you get
\[(2-\frac{x}{3})\times 24=2\times 24-\frac{x}{3}\times 24=48-8x\]

Answer 10

so numerator is
\[48-8x\]

Answer 11

denominator is similar
\[(5+\frac{x}{8})\times 24=5\times 24+\frac{x}{8}\times 24=120+3x\]

Answer 12

120+3x would be the denominator?

Answer 13

yes you got it!

Answer 14

Wow thank you so much!

Answer 15

so "final answer is ..."

Answer 16

\[\color{red}{\frac{48-8x}{120+3x}}\] !