
1 2/3+(-8/17)+5 1/3+(-9/17)


Ответы на вопрос

Ответ:
1 2/3+(-8/17)+5 1/3+(-9/17)
Пошаговое объяснение:
(1 2/3) + ((-8)/17) + (5 1/3) + ((-9)/17)=6



To add these fractions, you'll first need to find a common denominator, which is the least common multiple of 3 and 17, which is 51. Then, you can rewrite each fraction with the common denominator and add them together.
Here's the step-by-step calculation:
1 2/3 + (-8/17) + 5 1/3 + (-9/17)
First, rewrite the mixed numbers as improper fractions:
5/3 + (-8/17) + 16/3 + (-9/17)
Now, find a common denominator, which is 51:
(5/3) * (17/17) + (-8/17) + (16/3) * (17/17) + (-9/17)
Now, add the fractions:
(85/51) + (-8/17) + (272/51) + (-9/17)
Now, add the fractions with the common denominator:
(85/51 + 272/51) + (-8/17 - 9/17)
Combine the numerators when adding fractions with the same denominator:
(357/51) + (-17/17)
Now, simplify:
(357/51) + (-1)
To add these fractions, you need to have a common denominator. In this case, the common denominator is 51. So, rewrite -1 with the denominator of 51:
(357/51) - (51/51)
Now, subtract the fractions:
(357/51) - (51/51) = (357 - 51) / 51 = 306/51
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(306/51) ÷ (3/3) = (102/17)
So, the final result is:
1 2/3 + (-8/17) + 5 1/3 + (-9/17) = 102/17


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