What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

#LearnwithBrainly

You might be interested in

Solve the inequality for V. -8.3 _>_ V - 1.9

Arada [10]

First keep in mind that the given value is negative and that it is greater than or equal to whatever 'v' is.

$-8.3 \geq v - 1.9$

When solving for a variable in any equation, you do something to both sides in order to keep it equal. Here, v is being subtracted by 1.9; therefore we can add 1.9 to both sides in order to isolate the variable.

$-8.3 + 1.9 \geq v - 1.9 + 1.9$
$-6.4 \geq v$

Despite not needing a value for the question, it is worth noting that since this is an inequality, v can be any value from -6.4 to ∞ in order to make it true.

6 0

3 years ago

3 ^(1 − 7 x = 7 ^x find the exact value

Shalnov [3]

Answer:

(

)

(

)

(

)

Step-by-step explanation: