To convert the decimal 0.062 to a fraction in its lowest terms, you can follow these steps:
1. Express the decimal as a fraction with a power of 10 in the denominator:
- 0.062 can be written as [tex]\[ \frac{62}{1000} \][/tex] since 0.062 is equivalent to 62 thousandths.
2. Simplify the fraction:
- To reduce [tex]\[ \frac{62}{1000} \][/tex] to its lowest terms, find the greatest common divisor (GCD) of the numerator (62) and the denominator (1000).
- The GCD of 62 and 1000 is 2.
3. Divide both the numerator and the denominator by their GCD:
- [tex]\[ \frac{62 ÷ 2}{1000 ÷ 2} = \frac{31}{500} \][/tex]
Therefore, the fraction form of [tex]\( 0.062 \)[/tex] in its lowest terms is [tex]\( \frac{31}{500} \)[/tex].
