Answer

Verified

374.4k+ views

**Hint:**For getting the value of equation in this kind of fraction form, you just need to simplify the fraction, if simplification is possible with the fraction term then first simplify it and then put the value of the pie, and after that with some sort of simplification the final result can be obtained.

**Complete step by step solution:**The given question is to simplify the term \[\dfrac{{3\pi }}{2} +

\dfrac{\pi }{4}\]

And to find the value of we have to first put the value of pie then after further simplification we can have our result.

\[

\Rightarrow \dfrac{{3\pi }}{2} + \dfrac{\pi }{4} \\

\Rightarrow \dfrac{{3 \times 3.14}}{2} + \dfrac{{3.14}}{4} \\

\Rightarrow \dfrac{{9.42}}{2} + 0.785 \\

\Rightarrow 4.71 + 0.785 \\

\Rightarrow 5.495 \\

\]

This is our final solution for the question.

Method :2

Here we will first simplify the fraction terms and then after simplification we will put the value of pie and then solve the fraction for the final solution, on solving we get:

\[

\Rightarrow \dfrac{{3\pi }}{2} + \dfrac{\pi }{4} \\

\Rightarrow \dfrac{{2 \times (3\pi ) + \pi }}{4} = \dfrac{{6\pi + \pi }}{4} = \dfrac{{7\pi }}{4} =

\dfrac{{7 \times 3.14}}{4} = 5.495 \\

\]

The results are the same.

**Additional Information:**The above question can also be solved by taking the common denominator term and then finally after solving the fraction term together then we will obtain a single fraction in which we have to put the value of pie and then after solving we will get our answer.

**Note:**Here we can also solve by taking the lowest common factor then solve with the pie term then finally we can put the value of pie and get the answer, but in that case also we will have the same answer as we got here. No changes can be seen with that solution also.

Recently Updated Pages

Differentiate between Shortterm and Longterm adapt class 1 biology CBSE

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

Trending doubts

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE