# 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:**

\[\begin{align} \text{No. of hours taken by Lipika to read a book everyday}=1\frac{3}{4}{\rm{ hour }} = \frac{7}{4}\end{align} \]

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

\[\begin{align} \text{Total no. of hours required by her to read the book}= \frac{7}{4} \times 6 = \frac{{42}}{4}{\rm\,{ hours }} = 10\frac{1}{2}\end{align} \]

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