
30 - 23,1:( 5 7/20 - 4 6/35)


Ответы на вопрос

2)30-23.1=6.9



2)30-23, 1=6,9
Вот и все.



Let's break down the expression step by step:
30 - 23.1: First, we subtract 23.1 from 30:
30 - 23.1 = 6.9
Now let's move on to the second part of the expression:
5 7/20 - 4 6/35: To subtract mixed numbers, we need to convert them to improper fractions.
5 7/20 = (5 * 20 + 7) / 20 = 107/20
4 6/35 = (4 * 35 + 6) / 35 = 146/35
Now, we can subtract the fractions:
107/20 - 146/35:
To subtract fractions, we need a common denominator, which in this case is 20 * 35 = 700.
(107/20) * (35/35) = 749/700
(146/35) * (20/20) = 2920/700
Now, subtract the fractions:
749/700 - 2920/700 = (749 - 2920) / 700 = -2171/700
Now we have both parts of the expression evaluated. Let's put them together:
6.9 - (-2171/700):
To subtract a negative fraction, we can rewrite it as addition:
6.9 + 2171/700:
To add a mixed number and a fraction, we need to convert the mixed number to an improper fraction.
6.9 = 6 + 0.9 = 6 + 9/10 = (6 * 10 + 9) / 10 = 69/10
Now we can add the fractions:
69/10 + 2171/700:
To add fractions, we need a common denominator, which in this case is 10 * 700 = 7000.
(69/10) * (700/700) = 4830/7000
(2171/700) * (10/10) = 21710/7000
Now, add the fractions:
4830/7000 + 21710/7000 = (4830 + 21710) / 7000 = 26540/7000
Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
GCD(26540, 7000) = 20
26540/7000 = (26540/20) / (7000/20) = 1327/350
Therefore, the simplified result is 1327/350.


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