What is #0.875# as a fraction?

1 Answer
Aug 20, 2016

#875/1000 =7/8#

Explanation:

To allow for the description wording, permit me to space out the digits.

Write #0.875# as:
color(white)("d")

#color(blue)(color(white)("d.d")0color(white)("dd").color(white)("d.")8color(white)("dddd.d")7color(white)("ddddddddd")5)#
#color(green)(color(white)("dd")uarr color(white)("ddd")uarr color(white)("ddd.d")uarrcolor(white)("dddddddd")uarr)#
#color(green)("units"color(white)("ddd") 1/10 color(white)("")^("ths")color(white)("dd")1/100color(white)("")^("ths")color(white)("dddd")1/1000color(white)("")^("ths"))#

So we can write #0.875# as #875/1000#

This simplifies to one of the more common fractions #7/8#