#color(blue)("Using the shortcut method")#
Convert the #7/22# into a decimal then multiply by 100
#7/22xx100=31.8181bar(81)#
Then stick a % on the end giving
#7/22xx100=31.8181bar(81)%#
Where the bar over the last #81# means that they repeat for ever.
You could round this so I chose 2 decimal places giving:
#31.81# to 2 decimal places
#color(brown)("Always state how many places you have rounded to")#
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#color(blue)("Just for interest sake") #
The value of #22/7# used to be the old approximation to #pi# That was in the days when calculators we not available and fractions were the norm.
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#color(blue)("Foot note")#
To #ul("understand")# why the shortcut works and why we put a % on the end see my example:
https://socratic.org/s/aK3cvqDF
