Final answer:
To add the decimals 0.2 and 0.4 as a fraction in lowest terms, convert them to fractions with a common denominator, add the fractions, and simplify to lowest terms.
Step-by-step explanation:
To find the value of 0.2 + 0.4 as a fraction in lowest terms, we need to convert the decimal numbers into fractions with a common denominator. Here's how we can do it:
Write 0.2 as a fraction:
0.2 = 2/10
Write 0.4 as a fraction:
0.4 = 4/10
Add the fractions:
2/10 + 4/10 = (2 + 4)/10 = 6/10
Simplify the fraction to lowest terms by dividing the numerator and denominator by their greatest common divisor:
6/10 = ⅗
Therefore, the value of 0.2 + 0.4 as a fraction in lowest terms is ⅗.