Question

(1/6+0.1+1/15)6:)1/6+0.1-1/15

Answer 1

(1/6+1/10+1/15)×6×6+1/10-1/15

1/3×6×6+1/10-1/15

2×6+1/10-1/15

12+1/10-1/15

361/30

Answer 2

Let's solve the expression step by step:

(1/6 + 0.1 + 1/15)6 : (1/6 + 0.1 - 1/15)

First, let's simplify the expression inside the parentheses on both sides:

(1/6 + 0.1 + 1/15) = (5/30 + 0.1 + 2/30) = (7/30 + 0.1) = 7/30 + 0.1

Now, let's calculate the common denominator:

7/30 + 0.1 = (7/30) + (0.1 * 30/30) = (7/30) + (3/30) = 10/30

Next, let's simplify the expression outside the parentheses:

(10/30)6 : (1/6 + 0.1 - 1/15)

To divide by a fraction, we can multiply by its reciprocal:

(10/30)6 * (6/1) : (1/6 + 0.1 - 1/15)

Simplifying the left side:

(10/30) * (6/1) = (10 * 6) / (30 * 1) = 60/30 = 2

Now, let's simplify the expression inside the parentheses:

(1/6 + 0.1 - 1/15) = (5/30 + 0.1 - 2/30) = (3/30 + 0.1) = 3/30 + 0.1

Calculating the common denominator:

3/30 + 0.1 = (3/30) + (0.1 * 30/30) = (3/30) + (3/30) = 6/30 = 1/5

Finally, let's divide:

2 : (1/5) = 2 * (5/1) = 10

Therefore, the value of the expression is 10.