
Выполните действия: а) 2 3/5 - 4/5= b) 14 5/13 + 5 10/39=c) 4 - 7/10=d) 5/21 + 3/7=


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а) 2 3/5 - 4/5= 13/5 - 4/5 = 9/5 = 1 4/5
b) 14 5/13⁽³ + 5 10/39= 14 15/39 + 5 10/39 = 19 25/39
c) 4 - 7/10= 3 10/10 - 7/10 = 3 3/10
d) 5/21 + 3/7⁽³= 5/21 + 9/21 = 14/21 = 2/3



a) 2 3/5 - 4/5 =
To subtract mixed numbers, you'll first need to ensure they have the same denominator. In this case, the common denominator is 5.
2 3/5 - 4/5 = (2 + 3/5) - 4/5
Now, add the whole numbers first:
2 + 3/5 = 10/5 + 3/5 = 13/5
Now, subtract the fractions:
(13/5) - (4/5) = 9/5
So, the answer is 9/5.
b) 14 5/13 + 5 10/39 =
Again, make sure they have the same denominator. In this case, you can use the least common multiple of 13 and 39, which is 39.
14 5/13 + 5 10/39 = (14 + 5) + (5/13 + 10/39)
Add the whole numbers:
14 + 5 = 19
Now, add the fractions:
(5/13) + (10/39)
To add fractions with different denominators, you need to find a common denominator, which in this case is 39:
(5/13) * (3/3) = 15/39 (10/39)
Now, add the fractions:
(15/39) + (10/39) = 25/39
So, the answer is 19 25/39.
c) 4 - 7/10 =
Subtract the fraction from the whole number:
4 - 7/10 = 40/10 - 7/10 = (40 - 7)/10 = 33/10
So, the answer is 33/10.
d) 5/21 + 3/7 =
To add fractions, make sure they have the same denominator. In this case, the least common multiple of 21 and 7 is 21, so we'll use that as the common denominator:
(5/21) + (3/7) = (5/21) + (9/21)
Now, add the fractions:
(5/21) + (9/21) = 14/21
You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:
(14/7) / (21/7) = 2/3
So, the answer is 2/3.


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