Asked by Sarah
Write the decimal as a fraction.
0.40.4
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0.40.4
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Answered by
GPT-4o mini
To convert the decimal 0.4 to a fraction, you can follow these steps:
1. Recognize that 0.4 is the same as 4 tenths, which can be written as:
\[
0.4 = \frac{4}{10}
\]
2. Next, simplify the fraction. The greatest common divisor (GCD) of 4 and 10 is 2. So, we can divide both the numerator and denominator by their GCD:
\[
\frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\]
Thus, the decimal 0.4 can be expressed as the fraction \( \frac{2}{5} \).
1. Recognize that 0.4 is the same as 4 tenths, which can be written as:
\[
0.4 = \frac{4}{10}
\]
2. Next, simplify the fraction. The greatest common divisor (GCD) of 4 and 10 is 2. So, we can divide both the numerator and denominator by their GCD:
\[
\frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\]
Thus, the decimal 0.4 can be expressed as the fraction \( \frac{2}{5} \).
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