write the percent as a fraction or a mixed number in simplest form 4 2/5%. Can anyone help me solve this?

Question

anonymous · Answer

i have a picture to better understand it

ranga · Answer

4 & 2/5 = (5*4 + 2)/5 = 22/5%. 
Convert percentage to a fraction by dividing by 100: 
22/5% = 22/500 = 11/250. 
So the simplest fraction is: 11/250.

anonymous · Answer

omg thank you thank you soo much

ranga · Answer

You are welcome.

anonymous · Answer

and is that how i figure out all problems like this

ranga · Answer

Yes.  First you convert the mixed number into a fraction.
Examples:$$4\frac{ 2 }{ 5 } = \frac{ 5*4 + 2 }{ 5 } = \frac{ 22 }{ 5 }$$$$12\frac{ 5 }{ 9 } = \frac{ 9*12 + 5 }{ 9 } = \frac{ 113 }{ 9 }$$Here you have to do one extra step.  The original mixed number was a percentage.  To convert percentage to a fraction you will have to divide by 100.  Therefore,$$\frac{ 22 }{ 5 }\% = \frac{\frac{ 22 }{ 5 }}{100} = \frac{22}{500} = \frac{11}{250}$$$$\frac{ 113 }{ 9 }\% = \frac{\frac{ 113 }{ 9 }}{100} = \frac{113}{900}$$