Question

(7/2-14/3)+(3/1+9/2)​

Answer 1

Ответ:

Пошаговое объяснение:

(7/2-14/3)+(3/1+9/2)=7/2-14/3=-7/6

3/1+9/2=15/2

-7/6+15/2=19/3

Answer 2

To simplify the expression (7/2 - 14/3) + (3/1 + 9/2), follow these steps:

Step 1: Simplify each fraction separately.

• 7/2 - 14/3: Find a common denominator, which is 6, so you'll need to multiply the first fraction by 3/3 and the second fraction by 2/2. = (7/2 * 3/3) - (14/3 * 2/2) = (21/6) - (28/6)

• 3/1 + 9/2: Since the first fraction already has a denominator of 1, you can simply add the second fraction. To do this, convert 3/1 to have a denominator of 2. = (3/1 * 2/2) + 9/2 = (6/2) + 9/2

Step 2: Combine the fractions with common denominators.

• (21/6) - (28/6) + (6/2) + 9/2 = [(21 - 28)/6] + [(6 + 9)/2]

Step 3: Perform the subtraction and addition inside the brackets.

• (-7/6) + (15/2)

Step 4: Find a common denominator for these two fractions, which is 6. Multiply the first fraction by 1 to get a denominator of 6.

• (-7/6 * 1) + (15/2 * 3/3) = (-7/6) + (45/6)

Step 5: Combine the fractions with a common denominator.

• (-7/6) + (45/6)

Step 6: Add the numerators and keep the common denominator.

• (-7 + 45)/6 = 38/6

Step 7: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2.

• (38/2) / (6/2) = 19/3

So, the simplified expression is 19/3.