Question

(2 4/5 + 6 7/8) : 2 + (45/72 * 2)​

Answer 1

Ответ:

6,0875

Пошаговое объяснение:

9 27/40*1/2+5/4=387/80+5/4=487/80=6,0875

Answer 2

To solve the expression (2 4/5 + 6 7/8) : 2 + (45/72 * 2), follow these steps:

Step 1: Add the mixed numbers (2 4/5 and 6 7/8): 2 4/5 + 6 7/8

To add these mixed numbers, first convert them to improper fractions:

(2 + 4/5) + (6 + 7/8) = (10/5 + 4/5) + (48/8 + 7/8) = 14/5 + 55/8

Now, you need to find a common denominator, which is 40 in this case. To do that, multiply the first fraction by 8/8 and the second fraction by 5/5:

(14/5 * 8/8) + (55/8 * 5/5) = (112/40) + (275/40)

Step 2: Divide the result by 2 and simplify the fractions: (112/40 + 275/40) : 2

Now, add the fractions together:

(112/40 + 275/40) = (112 + 275) / 40 = 387/40

Now, divide this result by 2:

(387/40) : 2 = (387/40) * (1/2)

To divide by 2, multiply by the reciprocal of 2, which is 1/2:

(387/40) * (1/2) = (387 * 1) / (40 * 2) = 387/80

Step 3: Calculate (45/72 * 2):

(45/72 * 2) = (45/72) * 2 = (45 * 2) / 72 = 90/72

Step 4: Add the results from Step 2 and Step 3:

(387/80) + (90/72)

To add these fractions, first find a common denominator, which is 720 in this case. To do that, multiply the first fraction by 9/9 and the second fraction by 10/10:

(387/80 * 9/9) + (90/72 * 10/10) = (3483/720) + (900/720)

Now, add the fractions together:

(3483/720 + 900/720) = (3483 + 900) / 720 = 4383/720

Step 5: Simplify the fraction:

4383/720 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9:

(4383 ÷ 9) / (720 ÷ 9) = 487/80

So, the final result is 487/80.