The sum of 0.8 and 0.04 can be written as a fraction where the numerator and the denominator are both positive integers. When the numerator and the denominator are both divided by their greatest common factor, what is the sum of the numerator and the denominator of the resulting fraction?

0.84 as a fraction is 84/100

Greatest common factor is 4

Resulting fraction is 21/25

Addition of numerator and denominator of the resulting fraction is 46

Step-by-step explanation:

From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84

Convert 0.84 to fraction = 84/100

The numerator and denominator in 84/100 are both positive integers.

The greatest common factor to the numerator and denominator is 4

Divide 84 by 4 = 21

Divide 100 by 4 = 25

Therefore, the resulting fraction is 21/25

Addition of 21 and 25 equals 46.

I hope this helps.