Simplify: (6/7) + (5/14)

To simplify the sum of the two fractions ((6/7) + (5/14)), you first need a common denominator. The denominators in this case are 7 and 14. The least common multiple of these two numbers is 14.

Next, convert (6/7) into a fraction with a denominator of 14. Since (6/7) can be multiplied by ((2/2)) to make the denominator 14, you get:

[

6/7 = (6 \times 2)/(7 \times 2) = 12/14

]

Now, add this to the other fraction:

[

12/14 + 5/14 = (12 + 5)/14 = 17/14

]

The fraction (17/14) is an improper fraction, which can also be expressed as a mixed number. When you divide 17 by 14, it equals 1 with a remainder of 3, which can be written as:

[

1 + 3/14

]

To express this as a decimal, convert (3/14):

[

3 ÷ 14 \approx 0.214