Question

( 3,2 : 4 + 4 4/5 : 3,2 ) * 4,8

Answer 1

(3,2:4+4 4/5 : 3,2) * 4,8=
1)3,2:4=0,8
2)4 4/5=4,8
3)4,8:3,2=1,5
4)0,8+1,5=2,3
5)2,3*4,8=11,04

Answer 2

To evaluate the expression (3,2 : 4 + 4 4/5 : 3,2) * 4,8, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's simplify the expression inside the parentheses: 3,2 : 4 + 4 4/5 : 3,2

To evaluate the divisions, we can convert the mixed numbers to improper fractions: 3,2 : 4 = 3 + 2/10 : 4 = 3 + 1/5 : 4 4 4/5 : 3,2 = 4 + 4/5 : 3 + 2/10 = 4 + 4/5 : 3 + 1/5

Now, let's calculate the divisions separately: 3 + 1/5 : 4 = 3 + (1/5) / 4 = 3 + 1/20 4 + 4/5 : 3 = 4 + (4/5) / 3 = 4 + 4/15

Substituting the results back into the original expression: (3,2 : 4 + 4 4/5 : 3,2) * 4,8 = (3 + 1/20 + 4 + 4/15) * 4,8

Next, let's simplify the addition: 3 + 1/20 + 4 + 4/15 = 3 + 4 + 1/20 + 4/15 = 7 + 1/20 + 4/15

To add fractions, we need a common denominator: The least common multiple (LCM) of 20 and 15 is 60.

Converting the fractions to have a denominator of 60: 1/20 = 3/60 4/15 = 16/60

Now, let's add the fractions: 7 + 3/60 + 16/60 = 7 + (3 + 16)/60 = 7 + 19/60

Substituting the result back into the expression: (3,2 : 4 + 4 4/5 : 3,2) * 4,8 = (7 + 19/60) * 4,8

To multiply a number by a fraction, we can multiply the number by the numerator and divide by the denominator: (7 + 19/60) * 4,8 = (7 * 4,8) + (19/60 * 4,8)

Calculating the multiplication: 7 * 4,8 = 33,6 19/60 * 4,8 = 0,6333333333333333

Adding the results: (7 * 4,8) + (19/60 * 4,8) = 33,6 + 0,6333333333333333

Finally, calculating the sum: 33,6 + 0,6333333333333333 = 34,233333333333334

Therefore, the expression (3,2 : 4 + 4 4/5 : 3,2) * 4,8 equals approximately 34.233.