Answer: 29/30
Step-by-step explanation: Notice that 4/5 and 1/6 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 5 and 6 will be the least common multiple of 5 and 6 which is 30.
To get a 30 in the denominator of 4/5, we multiply the numerator and the denominator by 6 which gives us 24/30.
To get a 30 in the denominator of 1/6, we multiply the numerator and the denominator by 5 which gives us 5/30.
Now we're adding like fractions so we simply add the numerators 24 + 5 gives us 29 and keep the same denominator which is 30.
Notice that 29/30 is in lowest terms so it's our final answer.
Therefore, 4/5 + 1/6 = 29/30.