
0,8 × 2 1/12 + 2 1/6=


Ответы на вопрос




To solve the equation 0.8 × 2 1/12 + 2 1/6, we need to perform the multiplication and addition operations in the correct order.
First, let's convert the mixed fractions into improper fractions.
2 1/12 can be written as (2 × 12 + 1) / 12 = 25 / 12
2 1/6 can be written as (2 × 6 + 1) / 6 = 13 / 6
Now, we can perform the multiplication:
0.8 × (25 / 12) = 0.8 × 25 / 12
To multiply decimals and fractions, we multiply the numbers and then divide by the common denominator. In this case, the common denominator is 12.
0.8 × 25 = 20
So, we have 20 / 12.
Now, let's add this result to the fraction 13 / 6:
20 / 12 + 13 / 6
To add fractions, we need to find a common denominator. In this case, the common denominator is 12.
20 / 12 + 13 / 6 = (20 × 2) / (12 × 2) + 13 / 6
= 40 / 24 + 13 / 6
Now, we can add the fractions:
40 / 24 + 13 / 6 = (40 + 13 × 4) / 24
= (40 + 52) / 24
= 92 / 24
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4 in this case:
92 / 24 = (92 ÷ 4) / (24 ÷ 4)
= 23 / 6
So, the solution to the equation 0.8 × 2 1/12 + 2 1/6 is 23/6 or 3 5/6.


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