Simplify: (5/6) + (2/3)

To simplify the expression (5/6) + (2/3), you first need to ensure both fractions have a common denominator. The denominator for the first fraction is 6, and for the second it is 3. The least common denominator (LCD) between these two is 6.

Next, convert (2/3) to a fraction with 6 as the denominator. You can achieve this by multiplying the numerator and the denominator of (2/3) by 2:

[

2/3 = (2 * 2)/(3 * 2) = 4/6

]

Now, you can add the two fractions:

[

(5/6) + (4/6) = (5 + 4) / 6 = 9/6

]

To simplify 9/6, divide both the numerator and the denominator by their greatest common divisor, which is 3:

[

9/6 = (9 ÷ 3)/(6 ÷ 3) = 3/2

]

Finally, convert 3/2 to a decimal. Dividing 3 by 2 gives you 1.5.

This reasoned process of finding a common denominator