How do you convert 95/1000 into a percent and decimal?

2 Answers
Jun 28, 2016

Percent: #9.5%#
Decimal: #0.095#

Explanation:

To convert #95/1000# into a percent, we need to make the denominator equal to #100#.

We can do this by dividing both sides by #10#. We get #9.5/100#, which is equivelant to #9.5%#.

To make this a decimal, we can move the decimal point left two times:

#9.5# turns into #0.095#

Jun 28, 2016

#95/1000 = 0.095#

#95/100=9.5%#

Explanation:

#color(blue)("Fraction to decimal")#

#0.1 ->1/10#
#0.01->color(red)(1/100" "larr" percent")#
#0.001->color(blue)(1/1000" "larr" 95 of these as a decimal")#
#" "uarr#
#" "#3rd zero---------------3 rd decimal place----------
#" "darr#
But we have 95 of them so this is 95 of #0.001color(blue)( ->0.095)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Fraction to percentage")#

Percent basically means 'for each 100'

We are given# 95/1000# so if we can change the 1000 into 100 and apply the same process to the 95 we have our answer.

To change #1000# into #100# divide by 10

For multiply or divide, what you so to the bottom of a fraction ( denominator) you also do to the top (numerator)

#(95-:10)/(1000-:10) = color(red)(9.5/100)#

Another way of writing this is #color(red)(9.5%)#