Question

7/12,х+5/8*2/3х, если х=5​

Answer 1

Ответ:5

Пошаговое объяснение:

7/12x+5/8*2/3*x

7/12*5+5/8*2/3*5

1)7/12*5/1=35/12

2)5/8*2/3=5/4*1/3=5/12

3)5/12*5/1=25/12

4)35/12+25/12=60/12=5

Answer 2

To evaluate the expression 7/12 + (x + 5)/(8 * 2/3 * x) with x = 5, we substitute the value of x into the expression and simplify it.

Step 1: Substitute the value of x into the expression. 7/12 + (5 + 5)/(8 * 2/3 * 5)

Step 2: Simplify the expression inside the parentheses. 7/12 + 10/(8 * 2/3 * 5)

Step 3: Simplify the fraction inside the parentheses. 7/12 + 10/(8 * 2/15)

Step 4: Simplify the fraction in the denominator. 7/12 + 10/(16/15)

Step 5: Convert the addition of fractions to a common denominator. Multiply the first fraction by 15/15 to get a common denominator of 15. (7/12) * (15/15) + 10/(16/15)

Step 6: Simplify the expression. 105/180 + 10/(16/15)

Step 7: Convert the second fraction to an equivalent fraction with the same denominator. Multiply the fraction by 15/15 to get a common denominator of 15. 105/180 + (10 * 15)/(16 * 15/15)

Step 8: Simplify the expression. 105/180 + 150/16

Step 9: Find a common denominator for the fractions. The common denominator for 180 and 16 is 2880.

Step 10: Convert both fractions to have a denominator of 2880. Multiply the first fraction by 16/16 and the second fraction by 180/180. (105 * 16)/(180 * 16) + (150 * 180)/(16 * 180)

Step 11: Simplify the expression. 1680/2880 + 27000/2880

Step 12: Add the fractions. 1680/2880 + 27000/2880 = (1680 + 27000)/2880 = 28680/2880

Step 13: Simplify the fraction. 28680/2880 = 10

Therefore, the value of the expression 7/12 + (x + 5)/(8 * 2/3 * x), when x = 5, is equal to 10.