What is the simplified form of (X/3-y/4)/(x/4+y/3) ? (6 points)
1 answer:
Option 2: is the right answer
Step-by-step explanation:
Given fraction is:
To solve the fraction, Taking LCM in denominator and numerator
When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,
Hence,
Option 2: is the right answer
Keywords: fractions, simplification
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The answer is a = 3/4 = 0.75
First get rid of the paranthesis,
Then set the denominators equal:
Then remove the denominators and solve:
Eliminate -12a^2 by adding 12a^2 to both sides:
Take the fourth root of them or take the square root twice:
![\sqrt[4]{256 {a}^{4} } = \sqrt[4]{81} \\ 4a = 3](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B256%20%7Ba%7D%5E%7B4%7D%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B81%7D%20%20%20%5C%5C%20%204a%20%3D%203)
Divide both sides by 4:
First get rid of the paranthesis,
Then set the denominators equal:
Then remove the denominators and solve:
Eliminate -12a^2 by adding 12a^2 to both sides:
Take the fourth root of them or take the square root twice:
Divide both sides by 4: