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Let's denote the other fraction as x. The sum of two fractions can be expressed as:

1 + 1/5 + x = 3 + 1/6

First, let's convert all the fractions to a common denominator to solve:

1 + 1/5 + x = 18/6 + 1/6

1 + 1/5 + x = 19/6

Now, let's find the value of x:

1 + 1/5 + x = 19/6

1 + 1/5 + x = 3 + 1/6

To find x, subtract the known values from both sides:

x = 19/6 - 1 - 1/5

x = 19/6 - 6/6 - 5/6

x = (19 - 6 - 5) / 6

x = 8/6

Simplify the fraction:

x = 4/3

Therefore, the other fraction is 4/3.

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Step-by-step explanation:

Let's denote the other fraction as x. The sum of two fractions can be expressed as:

1 + 1/5 + x = 3 + 1/6

First, let's convert all the fractions to a common denominator to solve:

1 + 1/5 + x = 18/6 + 1/6

1 + 1/5 + x = 19/6

Now, let's find the value of x:

1 + 1/5 + x = 19/6

1 + 1/5 + x = 3 + 1/6

To find x, subtract the known values from both sides:

x = 19/6 - 1 - 1/5

x = 19/6 - 6/6 - 5/6

x = (19 - 6 - 5) / 6

x = 8/6

Simplify the fraction:

x = 4/3

Therefore, the other fraction is 4/3.