Decimals as Rational Numbers Quick Check

Question

2 of 52 of 5 Items
Question
What is 0.04 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

25
Start Fraction 2 over 5 End Fraction

250
Start Fraction 2 over 50 End Fraction

125
Start Fraction 1 over 25 End Fraction

410

Answer 1

To convert the decimal 0.04 into a fraction in its simplest form, follow these steps:

1. Write 0.04 as a fraction. Since 0.04 is in the hundredths place, it can be written as:
\[
\frac{4}{100}
\]

2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 100 is 4.

3. Divide both the numerator and the denominator by 4:
\[
\frac{4 \div 4}{100 \div 4} = \frac{1}{25}
\]

Therefore, 0.04 as a fraction in simplest form is:
\[
\frac{1}{25}
\]

The correct answer is:
\[ \boxed{\frac{1}{25}} \]