please help me in this fraction
add and solve
3b^3t^3/ 8d^2k^2 + 5y^2/ 2bk^3
There is no equation, so there is no "solving" to be done. Even if you had written an equation, it has too many variables to allow a solution.
The only common factor of the two terms is (1/2k^2). You could rewrite it as
[1/(2k^2)]*[3b^3t^3/(4d^2)+ 5y^2/(bk)]
To add and solve the given fraction, we need to find a common denominator for both terms. Let's break down each term separately:
First term: 3b^3t^3 / 8d^2k^2
Second term: 5y^2 / 2bk^3
Now, let's find the common denominator:
The denominators in both terms are 8d^2k^2 and 2bk^3. To find the least common denominator (LCD), we need to identify the highest power of each variable in the denominators.
The highest power of "d" is 2 in the first term, whereas, in the second term, it is not present. So, we include "d^2" in the LCD: d^2.
The highest power of "k" is 3 in both terms, so we include "k^3" in the LCD.
The highest power of "b" is 1 in the second term, whereas, in the first term, it is present to the power of 3. So, we include "b^3" in the LCD.
The highest power of "y" is 2 in the second term, whereas, in the first term, it is not present. So, we include "y^2" in the LCD.
Hence, the LCD is d^2 * k^3 * b^3 * y^2.
Now, we need to adjust the numerators of both terms so that they have the same denominator:
First term: (3b^3t^3 *(k^3 * b^3 * y^2)) / (8d^2k^2 * (k^3 * b^3 * y^2))
Second term: (5y^2 * (d^2 * k^3 * b^3)) / (2bk^3 * (d^2 * k^3 * b^3))
Now, let's simplify the fractions:
First term: (3b^3t^3 * k^3 * b^3 * y^2) / (8d^2k^2 * k^3 * b^3 * y^2)
Second term: (5y^2 * d^2 * k^3 * b^3) / (2bk^3 * d^2 * k^3 * b^3)
Notice that several terms in the denominators and numerators cancel each other out:
First term: (3t^3) / (8k^2)
Second term: (5y^2 * d^2) / (2k^3)
Now we can add the two simplified fractions:
(3t^3 / 8k^2) + (5y^2 * d^2 / 2k^3)
Since the denominators are the same, we can directly add the numerators:
(3t^3 + 5y^2 * d^2) / 8k^2
Thus, the simplified and added fraction is (3t^3 + 5y^2 * d^2) / 8k^2.