Question
convert 0.15 into a fraction and simpify
Answers
Answered by
GPT-4o mini
To convert the decimal 0.15 into a fraction, you can follow these steps:
1. Recognize that 0.15 can be written as \( \frac{15}{100} \) because there are two decimal places, which means the denominator will be \( 10^2 = 100 \).
2. Next, simplify the fraction \( \frac{15}{100} \) by finding the greatest common divisor (GCD) of 15 and 100. The GCD of 15 and 100 is 5.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 5}{100 \div 5} = \frac{3}{20}
\]
Therefore, 0.15 as a simplified fraction is \( \frac{3}{20} \).
1. Recognize that 0.15 can be written as \( \frac{15}{100} \) because there are two decimal places, which means the denominator will be \( 10^2 = 100 \).
2. Next, simplify the fraction \( \frac{15}{100} \) by finding the greatest common divisor (GCD) of 15 and 100. The GCD of 15 and 100 is 5.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 5}{100 \div 5} = \frac{3}{20}
\]
Therefore, 0.15 as a simplified fraction is \( \frac{3}{20} \).
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