Question

(3 1/2:4 2/3+4 2/3:3 1/2)*4 4/5

Answer 1

Ответ:4,35

Пошаговое объяснение:=(7*1/4*1/3+7/3*1/3)*4*4/5=(7/12*7/9)*4*4/5=49/36*4*4/5=49/9*4/5=196/45=4,35

Answer 2

To solve the expression (3 1/2 : 4 2/3 + 4 2/3 : 3 1/2) * 4 4/5, 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). In this case, there are no parentheses or exponents, so you can proceed with multiplication and division from left to right.

Let's break it down step by step:

1. Start with the division:

   (3 1/2 : 4 2/3) + (4 2/3 : 3 1/2)

Now, let's calculate each of these divisions:

First Division: 3 1/2 : 4 2/3

Convert mixed numbers to improper fractions: 7/2 : (14/3)

Invert the second fraction and multiply: (7/2) * (3/14)

Multiply the numerators and denominators: (7 * 3) / (2 * 14) = 21/28

Simplify the fraction: 21/28 = 3/4

So, the first division is equal to 3/4.

Second Division: 4 2/3 : 3 1/2

Convert mixed numbers to improper fractions: 14/3 : 7/2

Invert the second fraction and multiply: (14/3) * (2/7)

Multiply the numerators and denominators: (14 * 2) / (3 * 7) = 28/21

Simplify the fraction: 28/21 = 4/3

So, the second division is equal to 4/3.

Now, let's substitute these results back into the expression:

(3/4) + (4/3)

2. Now, add the fractions:

To add these fractions, find a common denominator, which is 12 in this case:

(3/4) + (4/3) = (3/4) * (3/3) + (4/3) * (4/4) = (9/12) + (16/12)

Now, add the fractions:

(9/12) + (16/12) = (9 + 16) / 12 = 25/12

3. Finally, multiply the result by 4 4/5:

To multiply a fraction by a mixed number, first convert the mixed number to an improper fraction:

4 4/5 = (5 * 4 + 4) / 5 = 24/5

Now, multiply the fractions:

(25/12) * (24/5)

Multiply the numerators and denominators:

(25 * 24) / (12 * 5) = 600/60

Simplify the fraction:

600/60 = 10

So, the final result of the expression is 10.