How do you write 5/656 as a percent?

2 Answers
Nov 4, 2017

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as x/100x100.

Therefore we can write an equation as and solve for xx:

x/100 = 5/6x100=56

color(red)(100) xx x/100 = color(red)(100) xx 5/6100×x100=100×56

cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 500/6

x = 83.bar3

5/6 = 83.bar3% or 83 1/3%

Jan 10, 2018

83 1/3%" "or" " 83.3%

Explanation:

Fractions, decimals and percents are all different ways of writing the same number.

The easiest one is: 1/2 = 0.5 = 0.50 = 50/100 = 50%

5/6 can be written as 5 div 6

If you do the division you will end up with a decimal:

5/6 = 0.8333333....

The first two decimal places represent hundredths.

0color(blue)(.83)3333... = (color(blue)(83).333)/100 = 83.3333..%

You can give this rounded to a chosen number of decimal places:

83.3%" "83.33%" "83.333% etc

or a more accurate way is by writing the decimal part as a fraction.

83 1/3%