To write the decimal 0.8 as a fraction, follow these steps:
1. Understand that the decimal represents a fraction:
The decimal number 0.8 means 8 tenths or 8 parts out of 10.
2. Convert the decimal to a fraction:
Write 0.8 as a fraction with 8 in the numerator (top part) and 10 in the denominator (bottom part):
[tex]\[
0.8 = \frac{8}{10}
\][/tex]
3. Simplify the fraction:
Next, simplify [tex]\(\frac{8}{10}\)[/tex] by finding the greatest common divisor (GCD) of 8 and 10.
- The factors of 8 are 1, 2, 4, and 8.
- The factors of 10 are 1, 2, 5, and 10.
The greatest common divisor of 8 and 10 is 2.
4. Divide both the numerator and the denominator by the GCD:
Divide both 8 and 10 by their GCD, which is 2:
[tex]\[
\frac{8 \div 2}{10 \div 2} = \frac{4}{5}
\][/tex]
Therefore, the simplified fraction form of the decimal 0.8 is:
[tex]\[
\frac{4}{5}
\][/tex]
