Simplify and write the write the result in decimal form:

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5.1875

6.2570

51.857

2.5689

answer is A.

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Detailed Solution

Concept- To solve this question, we used algebraic concepts.

is the essential identity that we used. We will only take 2 terms at a time while simplifying the numerator. If we don’t, it will get complicated and we could make a mistake. Before cancelling, we will attend to the power of x. And before factoring, we will ensure that the sign of the variable and the constant are both negative.
The expression is given as

The mixed fraction will first be written in the standard fraction form.

We will determine the reciprocal of the second term in the expression and divide the fractions accordingly. Comparable to multiplying the first term by the second term, reciprocal is the division of two fractions.
Thus, the above sentence can be rewritten as:
Question Image

As the LCM of 2, 16, and 8 is 16, the terms above can be added as,
Question Image

We will determine the factors of the term 16 to convert the fraction into decimal form. This can be represented as:

If the fraction's denominator has a factor of either 2 or 5, we can multiply the denominator by either 5 or 2 to get a denominator in the power of 10.
Thus,

As a result, the decimal form of the expression

.
Hence, the correct answer is option 1.

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