What is the simplified form of (X/3-y/4)/(x/4+y/3) ? (6 points)

Mathematics

1 answer:

Fofino [41]4 years ago

4 0

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Step-by-step explanation:

Given fraction is:

$\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}$

To solve the fraction, Taking LCM in denominator and numerator

$=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}$

When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,

$= \frac{4x-3y}{12} * \frac{12}{3x+4y}\\=\frac{4x-3y}{3x+4y}$

Hence,

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Keywords: fractions, simplification

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