What is the percent equivalent of 7/ 22?

1 Answer
Oct 16, 2017

31.81% to 2 decimal places as an approximation

31.8181bar(81)% as an exact value

Explanation:

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