How do you convert 9/10 into a decimal and percent?

1 Answer
Apr 14, 2017

Decimal->0.90.9

Percentage->90%90%

Explanation:

The format for decimals is:

color(red)(" First decimal place") First decimal place
" "color(red)(|)
" "color(red)(darr)

"units" color(red)(color(white)(.)+1/10)+1/100+1/1000+... and so on
" "color(red)(|)
" "color(red)(darr)
" "9/10

So 9/10 is the same 0.9
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Percent is a special fraction where the bottom number (denominator) is fixed at 100

We are given the fraction of 9/10

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

color(green)(9/10color(red)(xx1) " "=" "9/10color(red)(xx10/10)" "=" "(9xx10)/(10xx10)=90/100

Write as: 90xx1/100 but 1/100 is the same as % so we have

90/100=90xx1/100=90%