# Ex.2.3 Q6 fractions-and-decimals Solutions-Ncert Maths Class 7

## Question

Lipika reads a book for \(\begin{align} 1\frac{3}{4}\end{align} \) hour every day. She reads the entire book in \(6\) days. How many hours in all were required by her to read the book?

## Text Solution

**What is known?**

Lipika reads for \(\begin{align}1\frac{3}{4}\end{align}\)hours every day and read the entire book in \(6\) days.

**What is unknown?**

Total hours required by her to complete the book.

**Reasoning:**

In a day she reads for \(\begin{align}1\frac{3}{4}\end{align}\) hours so for calculating \(6\) days we can simply multiply \(\begin{align}1\frac{3}{4}\end{align}\) hours by \(6\).

**Steps:**

\(\begin{align} \begin{Bmatrix}\text{No. of hours taken by Lipika }\\ \text{to read a book everyday}\end{Bmatrix} \end{align} \)

\[\begin{align} =1\frac{3}{4}{\rm{ hour }} = \frac{7}{4}\end{align} \]

No. of days taken to read the entire book \(= 6 \rm \,days\)

\( \begin{Bmatrix} \text{Total no. of hours required } \\ \text{ by her to read the book} \end{Bmatrix} \)

\[\begin{align} &= \frac{7}{4} \times 6 \\[0.5mm] &= \frac{{42}}{4}{\rm\,{ hours }} \\ &= 10\frac{1}{2}\end{align} \]

Thus, \(\begin{align} 10\frac{1}{2}\end{align} \) hours in all were required by Lipika to read the book.