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marta [7]
4 years ago
5

What is 2.31 repeating as a simplified fraction

Mathematics
1 answer:
Rudiy274 years ago
4 0

Answer:

2\frac{31}{99}

Step-by-step explanation:

I am assuming that '.31' is the repeating pattern.

<h3>Setting up equation one:</h3>

X=2.31313131....

<h3>Setting up equation two:</h3>

There are two digits in the repeating group. I multiplied the first equation my 100 to get:

100x=231.31...

Subtract equation one from equation two:

'100x-231.3131..' - 'x = 2.313131... ' = '99x = 229'

Solve for X:

99x=299\\\\99x/99=229/99\\\\\boxed{x=229/99}

\frac{229}{99}=2\frac{31}{99}

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