what is 4/7 devidid by 1 1/7+5

To calculate the value of (4/7) divided by (1 1/7 + 5), we need to follow the order of operations: parentheses, multiplication or division (from left to right), and addition or subtraction (from left to right).

First, let's convert 1 1/7 into an improper fraction.
1 1/7 can be written as (7 + 1)/7, which simplifies to 8/7.

Now, the given expression becomes:
(4/7) ÷ (8/7 + 5)

Next, we calculate the sum of the fractions in the parentheses:
(8/7 + 5) = [(8/7) * (7/7)] + [(5 * 7)/7]
= (8 + 35)/7
= 43/7

Now, the expression becomes:
(4/7) ÷ (43/7)

Dividing fractions can be done by multiplying the first fraction by the reciprocal of the second fraction.

So, the calculation becomes:
(4/7) * (7/43)

This simplifies to:
(4 * 1) / (7 * 43) = 4/301

Therefore, the value of (4/7) divided by (1 1/7 + 5) is 4/301.