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Tuesday, December 6, 2011

Tuesday, December 6, 2011 - Trick to Converting Repeating Decimals into Fractions in Simplest Form!

First I will need a random repeating decimal.

"0.57575757575757..."

Thank you. This would be 19 / 33.

"Wow! How did you do that?"

Simply take the number that repeats, in this case 57, and divide it by however many 9's as there are digits in the original number. Since 57 is 2 digits, then I would divide 57 by 99.

57 / 99 simplifies down to 19 / 33.

We can check our answer by dividing 19 by 33, which equals 0.57575757575757575757

1 comment:

  1. This is amazing. I even like the dialogue. One question though? did you figure out this yourse;f or did u use a resource? If so what was the resource?

    ReplyDelete