
2) (5 3/11 +4 3/12)-2 3/11


Ответы на вопрос




2)58/11+51/12=696/132+561/132=1257/132=9 69/132;
1257/132-25/11= 1257/132-300/132=957/132=7,25



To solve this expression, you'll want to add the mixed numbers inside the parentheses first, and then subtract 2 3/11. Here's the step-by-step calculation:
- Add the mixed numbers inside the parentheses: (5 3/11 + 4 3/12)
To add these mixed numbers, you'll want to first convert them to improper fractions:
5 3/11 = (5 * 11 + 3) / 11 = 58/11 4 3/12 = (4 * 12 + 3) / 12 = 51/12
Now, add the fractions:
(58/11 + 51/12)
To add fractions with different denominators, you'll need to find a common denominator, which in this case is the least common multiple (LCM) of 11 and 12, which is 132.
Convert both fractions to have a denominator of 132:
(58/11) * (12/12) = 696/132 (51/12) * (11/11) = 561/132
Now, you can add these fractions:
(696/132 + 561/132)
- Add the fractions:
(696/132 + 561/132) = (696 + 561) / 132 = 1257/132
- Reduce the fraction:
1257/132 can be simplified by finding the greatest common divisor (GCD) of 1257 and 132, which is 33. Divide both the numerator and denominator by 33:
(1257/33) / (132/33) = 38/4
- Finally, subtract 2 3/11:
To subtract a mixed number, convert it to an improper fraction:
2 3/11 = (2 * 11 + 3) / 11 = 25/11
Now, subtract 25/11 from 38/4:
(38/4 - 25/11)
To subtract fractions, you need a common denominator, which is 44 (the LCM of 4 and 11). Convert both fractions:
(38/4) * (11/11) = 418/44 (25/11) * (4/4) = 100/44
Now, subtract:
(418/44 - 100/44) = 318/44
- Reduce the fraction:
318/44 can be simplified by finding the GCD of 318 and 44, which is 2. Divide both the numerator and denominator by 2:
(318/2) / (44/2) = 159/22
So, the final result is 159/22.


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