How do you convert 2/7 into a decimal and percent?

2 Answers
May 18, 2016

#0.29# and #28.6%#

Explanation:

You use a calculator, use 2, /, 7 as the input, and then you got a long decimal as #0.285714286...#. However, you can round it up usually to two decimal places, or if there is an order, go for that order.

For percentage, just simply move the #"."# to the right for two space, and then round it, and then add the #%# sign.

#0.\bar{285714} = 28.\bar{571428}% #

Explanation:

Divide 2 by 7:

#2 = 0 * 7 + 2# // remainder 2

#20 = 2 * 7 + 6#

#60 = 8 * 7 + 4#

#40 = 5 * 7 + 5#

#50 = 7 * 7 + 1#

#10 = 1 * 7 + 3#

#30 = 4 * 7 + 2# // remainder 2 repeats

#2/7 = 0.\bar{285714} = 0.285714285714285714...#

#(200%)/7 = 28.\bar{571428}% = 28.571428571428571428...%#