
5 1/2+4 13/24-6 23/34=


Ответы на вопрос

Ответ: 5+4-6+(12+13)/24-23/34=3+25/24-23/34=3+1+(34-23*24)/782=4-518/782=4-259/391=3 132/391.
Пошаговое объяснение:



To add and subtract mixed numbers, you'll want to follow these steps:
- First, convert all the mixed numbers to improper fractions.
- Then, perform the addition and subtraction.
- Finally, simplify the result if necessary.
Let's break it down step by step:
- Convert the mixed numbers to improper fractions:
5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2 4 13/24 = 4 + 13/24 = 96/24 + 13/24 = 109/24 6 23/34 = 6 + 23/34 = 204/34 + 23/34 = 227/34
- Perform the addition and subtraction:
11/2 + 109/24 - 227/34
To add fractions with different denominators, you'll need to find a common denominator. In this case, the common denominator for 2, 24, and 34 is 408.
Now, rewrite each fraction with a denominator of 408:
(11/2) * (204/204) = 2244/408 (109/24) * (17/17) = 1843/408 (227/34) * (12/12) = 2724/408
- Now, you can perform the addition and subtraction:
(2244/408) + (1843/408) - (2724/408)
Now, add and subtract the fractions:
2244/408 + 1843/408 - 2724/408 = (2244 + 1843 - 2724) / 408
Now, calculate the numerator:
2244 + 1843 - 2724 = 1363
So, the final fraction is:
1363/408
Now, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by the GCD:
GCD of 1363 and 408 is 17.
Divide both numerator and denominator by 17:
(1363 ÷ 17) / (408 ÷ 17) = 80/24
Finally, simplify further:
80/24 = 10/3
So, 5 1/2 + 4 13/24 - 6 23/34 is equal to 10/3.


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