Question

(3 1\2:4 2\3+4 2\3: 3 1\2)*4 4\5=? И пожалуйста,с упрощением

Answer 1

1)3 1/2:4 2/3=7/2:14/3=7/2*3/14=3/4
2)4 2/3:3 1/2=14/3*2/7=4/3
3)(3/4+4/3)*4 4/5=(9/12+16/12)*24/5=
25/12*24/5=5*2=10

Answer 2

To solve the expression and simplify it, let's follow the order of operations (PEMDAS/BODMAS):

1. First, calculate the addition inside the parentheses.
2. Then, perform the division outside the parentheses.
3. Finally, multiply the result by 4 4/5.

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

Step 1: Add the fractions inside the parentheses: 3 1/2 + 4 2/3 = (7/2) + (14/3)

To add the fractions, we need a common denominator, which is 6:

(7/2) + (14/3) = (21/6) + (28/6) = (21 + 28) / 6 = 49/6

Step 2: Divide the sum by the second fraction inside the parentheses:

49/6 : (4 2/3 + 3 1/2)

Step 3: Add the fractions inside the second parentheses: 4 2/3 + 3 1/2 = (14/3) + (7/2)

To add the fractions, we need a common denominator, which is 6:

(14/3) + (7/2) = (28/6) + (21/6) = (28 + 21) / 6 = 49/6

Step 4: Divide the sum by the second fraction inside the parentheses:

49/6 : (49/6) = 1

Step 5: Finally, multiply the result by 4 4/5:

1 * 4 4/5

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

4 = 4/1

Then, multiply the fractions:

1 * (4/1) * (4/5) = 16/5

So, the simplified result is 16/5 or 3 1/5.