Change the decimal to a fraction: 0.1213(1 point)

Question

Responses

1213999
1213 over 999

This decimal is Irrational and cannot be written as a fraction
This decimal is Irrational and cannot be written as a fraction

121310
12 and 13 tenths

12131,000
1 the fraction with numerator 213 and denominator 1 comma 000

121310,000
the fraction with numerator 1213 and denominator 10 comma 000
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Answer 1

To convert the decimal 0.1213 into a fraction, we can recognize that it has four decimal places.

1. Write the decimal as a fraction over 1:

\[ \frac{0.1213}{1} \]

2. Multiply the numerator and the denominator by 10,000 (since there are four decimal places):

\[ \frac{0.1213 \times 10,000}{1 \times 10,000} = \frac{1213}{10,000} \]

So, the decimal 0.1213 can be expressed as the fraction:

\[ \frac{1213}{10,000} \]

The correct response from the options provided is:

1213 over 10,000.