What is #80.88 -: 8.425#?

1 Answer
Apr 25, 2016

#9.6#

Explanation:

Let's look at some factors of #8088# and #8425# to see if we can make the arithmetic easier:

Here's a factor tree for #8088#:

#color(white)(00)8088#
#color(white)(00)"/"color(white)(00)"\"#
#color(white)(0)2color(white)(000)4044#
#color(white)(00000)"/"color(white)(00)"\"#
#color(white)(0000)2color(white)(000)2022#
#color(white)(00000000)"/"color(white)(00)"\"#
#color(white)(0000000)2color(white)(000)1011#
#color(white)(00000000000)"/"color(white)(00)"\"#
#color(white)(0000000000)3color(white)(000)337#

Here's a factor tree for #8425#:

#color(white)(00)8425#
#color(white)(00)"/"color(white)(00)"\"#
#color(white)(0)5color(white)(000)1685#
#color(white)(00000)"/"color(white)(00)"\"#
#color(white)(0000)5color(white)(000)337#

So we have:

#8088/8425 = (2xx2xx2xx3xxcolor(red)(cancel(color(black)(337))))/(5xx5xxcolor(red)(cancel(color(black)(337)))) = 24/25 = 96/100 = 0.96#

Hence:

#80.88/8.425 = 0.96 xx 10 = 9.6#