What is the difference of the rational expression below- 14x-17-3x-17

Explanation for correct option:Finding difference of rational expression:Given expression.14x/17 3x/17Clearly, LCM will be 17So,=14x 3x/170ex0ex=11x/17Hence, op ...

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Standard X

Mathematics

Addition of Rational Expressions

What is the d...

Question

What is the difference of the rational expression below?
$\frac{14 x}{17} - \frac{3 x}{17}$

$\frac{17 x}{17}$

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$\frac{11 x}{17}$

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$\frac{42 x}{17}$

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$\frac{42 x}{289}$

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Solution

The correct option is B
$\frac{11 x}{17}$

Explanation for correct option:
Finding difference of rational expression:
Given expression.
$\frac{14 x}{17} - \frac{3 x}{17}$
Clearly, LCM will be $17$
So,
$= \frac{14 x - 3 x}{17} = \frac{11 x}{17}$
Hence, option (B) is correct.

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What is the difference of the rational expression below? 14x17-3x17

The correct option is B 11x17Explanation for correct option:Finding difference of rational expression:Given expression.14x17-3x17Clearly, LCM will be 17So,=14x-3x17=11x17Hence, option (B) is correct.

What is the difference of the rational expression below?
$\frac{14 x}{17} - \frac{3 x}{17}$

The correct option is B
$\frac{11 x}{17}$

Explanation for correct option:
Finding difference of rational expression:
Given expression.
$\frac{14 x}{17} - \frac{3 x}{17}$
Clearly, LCM will be $17$
So,
$= \frac{14 x - 3 x}{17} = \frac{11 x}{17}$
Hence, option (B) is correct.