Question

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

Answer 1

1/3÷1/5=1/3×5=5/3 или 1.2/3

Answer 2

To simplify the expression, let's find the common denominator for both fractions in the numerator and the denominator of the division:

The common denominator for 6, 10, and 15 is 30. The common denominator for 6 and 30 is 30.

Now, let's rewrite the expression with the common denominators:

(1/6 + 1/10 + 1/15) / (1/6 + 1/30)

Now, find the sum of the fractions in the numerator and the denominator:

Numerator: 1/6 + 1/10 + 1/15 = (5/30 + 3/30 + 2/30) = 10/30 = 1/3

Denominator: 1/6 + 1/30 = (5/30 + 1/30) = 6/30 = 1/5

Now, divide the numerator by the denominator:

(1/3) / (1/5) = (1/3) * (5/1) = 5/3

So, the simplified result is 5/3.