Final answer:
To add (16)/(20) and (2)/(5), find the common denominator 20. Rewrite the fractions and add the numerators. Simplify the fraction if needed. The sum is 1 1/5 or 6/5.
Step-by-step explanation:
To add the fractions (16)/(20) and (2)/(5), we need to find a common denominator. In this case, the least common multiple of 20 and 5 is 20. So, we rewrite the fractions with the common denominator:
(16)/(20) + (2)/(5) = (16 * 1)/(20 * 1) + (2 * 4)/(5 * 4) = 16/20 + 8/20
Now, we can add the numerators together:
16/20 + 8/20 = 24/20
The fraction 24/20 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 4:
24/20 = (24 ÷ 4)/(20 ÷ 4) = 6/5
Therefore, the sum of (16)/(20) and (2)/(5) is 6/5, or it can be expressed as a mixed fraction as 1 1/5.