
6+5/137 целых 2/9 - 2 целых 5/9


Ответы на вопрос

Ответ:
6 + 5/13 = 6 целых 5/13 = 83/13 = 6,4
7 целых 2/9 - 2 целых 5/9 = 65/9 - 23/9 = 42/9



To solve the expression "6 + 5/137 - 2 2/9 - 2 5/9," we need to follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:
Step 1: Simplify the fractions within the expression. 5/137 is already in its simplest form. To simplify the mixed numbers, we convert them to improper fractions: 2 2/9 = (2 * 9 + 2) / 9 = 20/9 2 5/9 = (2 * 9 + 5) / 9 = 23/9
So, the expression becomes: 6 + 5/137 - 20/9 - 23/9
Step 2: Find a common denominator for the fractions. Since the denominators are all 137, 9, and 9, we don't need to find a common denominator. We can proceed to the next step.
Step 3: Perform the subtraction and addition. Combine the fractions with the same denominator and subtract: (5/137) - (20/9) - (23/9) = (5/137) - (20/9) - (23/9) = (5/137) - (20/9 + 23/9) = (5/137) - (43/9)
Step 4: Convert the fractions with different denominators to a common denominator. To do this, we need to find the least common multiple (LCM) of 137 and 9, which is 1233.
(5/137) - (43/9) = (5/137) - (43 * 137 / (9 * 137)) = (5/137) - (43 * 137 / 1233)
Step 5: Perform the subtraction. To subtract fractions, we need a common denominator, which we already have as 1233.
(5/137) - (43 * 137 / 1233) = (5 - 43 * 137) / 1233
Now, we can calculate the result:
(5 - 43 * 137) / 1233 = (5 - 5881) / 1233 = -5876/1233
The simplified result is -5876/1233.


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