Decimals as Rational Numbers Quick Check

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Question
What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

12225
12 Start Fraction 2 over 25 End Fraction

12810
12 Start Fraction 8 over 10 End Fraction

128
Start Fraction 12 over 8 End Fraction

1245

1 answer

To convert 12.8 to a fraction, follow these steps:

1. Write the decimal as a fraction:
\[ 12.8 = \frac{128}{10} \]

2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 128 and 10 is 2.
\[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]

Therefore, 12.8 as a fraction in simplest form is \(\frac{64}{5}\).

So, the correct response is:
\[ \frac{64}{5} \]