To evaluate [tex]\(\frac{1}{1.25}\)[/tex] as a decimal, follow these steps:
1. Express the division in the form of a fraction:
[tex]\[
\frac{1}{1.25}
\][/tex]
2. To simplify this fraction, multiply both the numerator and the denominator by 100 to remove the decimal point from the denominator:
[tex]\[
\frac{1 \times 100}{1.25 \times 100} = \frac{100}{125}
\][/tex]
3. Next, simplify the fraction [tex]\(\frac{100}{125}\)[/tex]. Find the greatest common divisor (GCD) of 100 and 125, which is 25.
4. Divide both the numerator and the denominator by their GCD, 25:
[tex]\[
\frac{100 \div 25}{125 \div 25} = \frac{4}{5}
\][/tex]
5. Now, convert the fraction [tex]\(\frac{4}{5}\)[/tex] into a decimal. We perform the division [tex]\(4 \div 5\)[/tex]:
[tex]\[
4 \div 5 = 0.8
\][/tex]
Therefore, [tex]\(\frac{1}{1.25}\)[/tex] evaluated as a decimal is [tex]\(0.8\)[/tex].
