Answer

Verified

426.6k+ views

**Hint**: This question is based on Fractions. In this question, we have given the thickness of a pile of books and the thickness of each book in the pile and we have to find the number of the books that make up the pile. Also, the thickness of the books is given in mixed fraction form. The mixed fraction numbers are the combination of a whole number and a fraction number. For example, $ 2\dfrac{3}{4} $ is a mixed fraction number and it can be written as,

$

2\dfrac{3}{4} = \dfrac{{\left( {4 \times 2} \right) + 3}}{4}\\

2\dfrac{3}{4} = \dfrac{{11}}{4}

$

**:**

__Complete step-by-step answer__Let the thickness of a pile of Class-V Mathematics books be $ T $ and the thickness of each book in the pile be $ t $ .

Then, we have given,

The thickness of a pile of Class-V Mathematics books

$

\Rightarrow T = 14\dfrac{2}{5}{\text{ cm}}\\

\Rightarrow T = \dfrac{{72}}{5}{\text{ cm}}

$

And, the thickness of each book in the pile

$

\Rightarrow t = 1\dfrac{1}{5}{\text{ cm}}\\

\Rightarrow t = \dfrac{6}{5}{\text{ cm}}

$ .

Now according to the question,

The thickness of a pile of Class-V Mathematics books = (Number of books in the pile $ \times $ the thickness of each book in the pile)

So,

Where, $ n $ is the number of books in the pile.

Substituting the values of $ T $ and $ t $ in the equation we get,

Solving this we get,

$ n = 12 $

Therefore, there are $ 12 $ books in the pile.

**So, the correct answer is “$ 12 $”.**

**Note**: It should be noted that if any value is given in the mixed fraction form, we should always change it into either simple fractions or decimal numbers because calculations in the fraction form or decimal form are easy compared to the mixed fraction form.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

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

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

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

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

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

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