Question

(5/6 + a) -3/4 при а= 7/12​

Answer 1

Ответ:

2/3

Пошаговое объяснение:

а = 7/12

(5/6 + а) - 3/4 = (5/6 + 7/12) - 3/4 =

(10/12 + 7/12) - 9/12 = 17/12 - 9/12 = 8/12 = 2/3

Answer 2

To evaluate the expression (5/6 + a) - 3/4 with a = 7/12, we substitute the value of a into the expression and perform the calculations:

(5/6 + a) - 3/4

Substituting a = 7/12:

(5/6 + 7/12) - 3/4

To add fractions, we need a common denominator. The common denominator of 6 and 12 is 12. We convert 5/6 to have a denominator of 12:

(5/6 * 2/2 + 7/12) - 3/4

(10/12 + 7/12) - 3/4

Now that the fractions have a common denominator, we can add them:

(10 + 7)/12 - 3/4

17/12 - 3/4

To subtract fractions, we need a common denominator. The common denominator of 12 and 4 is 12. We convert 3/4 to have a denominator of 12:

17/12 - (3/4 * 3/3)

17/12 - 9/12

Now that the fractions have a common denominator, we can subtract them:

(17 - 9)/12

8/12

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 4 in this case):

8/12 = (8/4) / (12/4) = 2/3

Therefore, (5/6 + a) - 3/4, with a = 7/12, is equal to 2/3.