How do you convert 6/11 into a decimal and percent?

2 Answers
Apr 20, 2018

Decimal: #0.bar54#
Percent: #54.bar54%#

Explanation:

In order to find #6/11#, you must first find #1/11# by dividing one by eleven to find your eleven equal parts. Then, multiply that by six in order to find #6/11#. Since .54545454 goes on forever, you can bar it. Then, the percent is much easier: just multiply the decimal by 100. #0.bar54# #times# 100 is #54.bar54#, which is your percentage.

Apr 21, 2018

#6/11=0.bar54=54.bar54%#

Explanation:

An interesting pattern:

#1/9=0.bar1#

#1/99=0.bar01#

#1/999=0.bar001# And so on.

Let's turn #6/11# to a fraction with a denominator of #99#

#6/11*9/9=>54/99#

This tells us that:

#6/11=0.bar54#

Multiply this by 100 (move the decimal point two places to the right) to get the percent form.

The percent form is:

#54.bar54%# This is the answer!