
(11 1/2-4/15)-(7-19/30)=


Ответы на вопрос

Ответ:
-17/15 или -1 2/15



Ответ:
(11 1/2-4/15)-(7-19/30) =(11 15/30-8/30)-(6 11/30)=11 7/30 - 6 11/30= 5 7/30- 11/30= 4 26/30= 4 13/15



To subtract the expressions (11 1/2 - 4/15) - (7 - 19/30), you'll first need to find the values of each expression within the parentheses and then perform the subtraction.
Calculate 11 1/2 - 4/15: To do this, convert the mixed number 11 1/2 into an improper fraction: 11 1/2 = (2 * 11 + 1)/2 = (22 + 1)/2 = 23/2
Now, subtract 4/15 from 23/2: (23/2) - (4/15)
Calculate 7 - 19/30: To subtract a fraction from a whole number, you can express 7 as a fraction with the same denominator as 19/30, which is 30: 7 = (7 * 30)/30 = 210/30
Now, subtract 19/30 from 210/30: (210/30) - (19/30)
Now that you have both expressions in the same format, you can subtract them:
(23/2 - 4/15) - (210/30 - 19/30)
Now, simplify each expression separately:
(23/2 - 4/15):
To subtract fractions with different denominators, you need to find a common denominator, which in this case is 30 (the least common multiple of 2 and 15).
Convert 23/2 to an equivalent fraction with a denominator of 30: (23/2) * (15/15) = (23 * 15)/(2 * 15) = 345/30
Now, subtract 4/15 from 345/30:
(345/30) - (4/15) = (345/30) - (8/30) = (345 - 8)/30 = 337/30
(210/30 - 19/30):
These fractions already have the same denominator, so you can simply subtract the numerators:
(210/30) - (19/30) = (210 - 19)/30 = 191/30
Now, you can subtract the two results:
(337/30) - (191/30)
To subtract fractions with the same denominator, subtract their numerators:
(337 - 191)/30 = 146/30
Now, simplify the fraction if possible. Both the numerator and denominator are divisible by 2:
(146/2)/(30/2) = 73/15
So, the final result is 73/15.


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