Option 2: [tex]\frac{4x-3y}{3x+4y}[/tex] is the right answer
Step-by-step explanation:
Given fraction is:
[tex]\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}[/tex]
To solve the fraction, Taking LCM in denominator and numerator
[tex]=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}[/tex]
When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,
[tex]= \frac{4x-3y}{12} * \frac{12}{3x+4y}\\=\frac{4x-3y}{3x+4y}[/tex]
Hence,
Option 2: [tex]\frac{4x-3y}{3x+4y}[/tex] is the right answer
Keywords: fractions, simplification
Learn more about fractions at:
- brainly.com/question/4401748
- brainly.com/question/4459688
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