Question

7 1/2+2 1/2(3-1 2/3:2 1/2)​

Answer 1

1) 1 2/3:2 1/2=5/3:5/2=5/3*2/5=1/3*2/1=2/3

2)3- 2/3 =2 3/3-2/3= 2 1/3

3)2 1/2* 2 1/3= 5/2*7/3=35/6=5 5/6

4)7 1/2+5 5/6=12 3/6+5/6= 12 8/6= 13 2/6= 13 1/3

Ответ 13 1/3

Answer 2

To solve this expression, you need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). Let's break it down step by step:

1. Inside the parentheses (3 - 1 2/3): 3 - 1 2/3 = 3 - (1 + 2/3) = 3 - (3/3 + 2/3) = 3 - (5/3)

Now, let's calculate this subtraction:

2. 3 - (5/3): To subtract these fractions, you need a common denominator, which is 3. 3 - (5/3) = (9/3) - (5/3) = 4/3

Now, we have simplified the expression inside the parentheses to 4/3. Now, let's continue with the original expression:

3. 7 1/2 + 2 1/2 * (4/3):

Now, we have multiplication and addition to perform. First, let's deal with the multiplication:

4. 2 1/2 * (4/3): To multiply mixed numbers, convert them to improper fractions. 2 1/2 = 5/2. (5/2) * (4/3) = (5/2) * (4/3) = (5 * 4) / (2 * 3) = 20/6

Now, let's simplify 20/6:

5. 20/6 can be reduced to 10/3 by dividing both the numerator and denominator by their greatest common divisor, which is 2.

Now, we have simplified the multiplication to 10/3. Now, let's continue with the addition:

6. 7 1/2 + 10/3:

To add these mixed numbers, convert 7 1/2 to an improper fraction. 7 1/2 = 15/2.

Now, add the fractions:

(15/2) + (10/3):

To add fractions with different denominators, you need to find a common denominator, which in this case is 6:

(15/2) * (3/3) + (10/3) * (2/2) = (45/6) + (20/6)

Now, add the fractions:

(45/6) + (20/6) = (45 + 20) / 6 = 65/6

So, the final result is:

65/6 or 10 5/6