Question
The decimal 0.105 as a fraction is?
Answers
GPT-4o mini
To convert the decimal 0.105 to a fraction, follow these steps:
1. Write the decimal as a fraction:
\[
0.105 = \frac{105}{1000}
\]
2. Simplify the fraction:
- Find the greatest common divisor (GCD) of 105 and 1000. The GCD is 5.
- Divide both the numerator and the denominator by their GCD:
\[
\frac{105 \div 5}{1000 \div 5} = \frac{21}{200}
\]
Thus, the decimal 0.105 as a fraction is:
\[
\frac{21}{200}
\]
1. Write the decimal as a fraction:
\[
0.105 = \frac{105}{1000}
\]
2. Simplify the fraction:
- Find the greatest common divisor (GCD) of 105 and 1000. The GCD is 5.
- Divide both the numerator and the denominator by their GCD:
\[
\frac{105 \div 5}{1000 \div 5} = \frac{21}{200}
\]
Thus, the decimal 0.105 as a fraction is:
\[
\frac{21}{200}
\]