Answer: To simplify the expression, we need to follow the order of operations, which is to perform the division first, then addition.
1/3 ÷ 7/6 + 1/5
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
1/3 ÷ 7/6 = 1/3 × 6/7 = 2/7
Now we can substitute this value back into the original expression:
2/7 + 1/5
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 35:
2/7 × 5/5 = 10/35
1/5 × 7/7 = 7/35
Now we can add the two fractions:
10/35 + 7/35 = 17/35
Therefore, the simplified expression is 17/35.
Explanation: