How do you change 7 1/7% to a decimal?

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Answer 1 · 2017-01-19T16:36:14

#7 1/7 = 50/7 = 7.14#

Changing a fraction to a decimal is easy if the denominator is a factor of 10, 100, 1000 ....

However in this case this does not happen.

Another method is to treat a fraction as a division.

#3/4 rarr 3 div 4 = 0.75#

#3/5 rarr 3 div 5 = 0.6#

Change #7 1/7# into an improper fraction

#7 1/7 = 50/7 rarr 50div 7#

# 7| ul(50.00000000000#
#" "7.142857142857142857.....#

Note that this is a recurring decimal. so we will have to round it off to a suitable level of accuracy.

#7.143# (3 decimal places)

#7.14# (2 decimal places)

As soon as a recurring fraction is involved, fraction form is more accurate, but a decimal is often more convenient.