
1/5 + 1 5/6 + 2,7/10


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Ответ:




To add these fractions together, you need to find a common denominator. In this case, the common denominator is 10.
1/5 can be converted to an equivalent fraction with a denominator of 10 by multiplying both the numerator and denominator by 2: 1/5 * 2/2 = 2/10
1 5/6 can be converted to an equivalent fraction with a denominator of 10 by multiplying the whole number part (1) by 10 and then adding the numerator (5): 1 5/6 = 10/6 + 5/6 = 15/6
So now, your expression becomes:
2/10 + 15/6 + 27/10
Next, you can add these fractions together:
2/10 + 15/6 + 27/10 = (2/10 + 27/10) + 15/6
Now that the denominators are the same (10), you can add the numerators:
(2/10 + 27/10) + 15/6 = (29/10) + 15/6
To add these fractions, you need a common denominator. The least common multiple of 10 and 6 is 30. So, let's convert both fractions to have a denominator of 30:
(29/10) * (3/3) = 87/30 (15/6) * (5/5) = 75/30
Now, the expression becomes:
(87/30) + (75/30)
Now, you can add the fractions since they have the same denominator:
(87/30) + (75/30) = (87 + 75) / 30 = 162/30
You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:
(162/30) ÷ (6/6) = (27/5)
So, the sum of the fractions is 27/5.


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