What is 9.24 divided by 1.1?

1 Answer
Jan 26, 2016

Answer:

#8.4#

Explanation:

I am assuming that the decimal point is giving you a bit of doubt.

Let me show you something really cool:

I am choosing this approach to demonstrate something else at the same time.

Write #color(white)(.)9.24 -: 1.1color(white)(..)# as #9.24/1.1#

Now I am going to use the law of ratios

#9.24/1.1=(9.24 xx 100)/(1.1 xx 100)#

#924/110# This division will give the same answer!
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Investigating how many times 110 will divide into 990")#

#9xx 110=990# Which is more than 924 so do not wish to use that
#color(red)(8)xx 110=color(purple)(880)# Which is less than 924 so we can use that value.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#924/110 = color(red)(8) + "Remainder"#

#8+ (924-color(purple)(880))/110#

#8+ 44/110#

But #44/110 =2/5#

So in fraction form the answer is # 8 2/5#

But #2/5 =4/10 = 0.4#

So in decimal form the answer is #8.4#