To solve this equation, we will first perform the operations within brackets:
(1,34 + 5,14 - 0,42 - 2,06) = 4
Now, we will divide the result by the fraction (1/2 - 1/5):
4 / (1/2 - 1/5)
To simplify the fraction, we need a common denominator, which is 10. So:
1/2 = 5/101/5 = 2/10
Now, we can subtract the fractions:
5/10 - 2/10 = 3/10
Therefore, the equation becomes:
4 / (3/10)
To divide by a fraction, we can multiply by its reciprocal:
4 * (10/3) = 40/3
Now, we can convert the improper fraction to a mixed number:
40 ÷ 3 = 13 with a remainder of 1
So, the final result is 13 1/3.
To solve this equation, we will first perform the operations within brackets:
(1,34 + 5,14 - 0,42 - 2,06) = 4
Now, we will divide the result by the fraction (1/2 - 1/5):
4 / (1/2 - 1/5)
To simplify the fraction, we need a common denominator, which is 10. So:
1/2 = 5/10
1/5 = 2/10
Now, we can subtract the fractions:
5/10 - 2/10 = 3/10
Therefore, the equation becomes:
4 / (3/10)
To divide by a fraction, we can multiply by its reciprocal:
4 * (10/3) = 40/3
Now, we can convert the improper fraction to a mixed number:
40 ÷ 3 = 13 with a remainder of 1
So, the final result is 13 1/3.