To determine the total number of hours Lipika spent reading the book, we need to follow a step-by-step approach.
1. Convert the mixed fraction to an improper fraction: Lipika reads for [tex]\(1 \frac{3}{4}\)[/tex] hours per day. First, we convert the mixed fraction into an improper fraction.
[tex]\[
1 \frac{3}{4} = 1 + \frac{3}{4}
\][/tex]
Converting the whole number to a fraction, we get:
[tex]\[
1 = \frac{4}{4}
\][/tex]
So,
[tex]\[
1 \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{4 + 3}{4} = \frac{7}{4}
\][/tex]
Thus, Lipika reads for [tex]\(\frac{7}{4}\)[/tex] hours each day.
2. Convert the improper fraction to a decimal: Next, we convert the improper fraction [tex]\(\frac{7}{4}\)[/tex] to a decimal.
[tex]\[
\frac{7}{4} = 1.75
\][/tex]
So, Lipika reads for [tex]\(1.75\)[/tex] hours each day.
3. Multiply the daily reading hours by the number of days: She reads the book for 6 days. To find the total number of hours she has read, we multiply the number of hours she reads per day by the number of days.
[tex]\[
\text{Total hours} = 1.75 \, \text{hours/day} \times 6 \, \text{days}
\][/tex]
[tex]\[
\text{Total hours} = 10.5 \, \text{hours}
\][/tex]
Therefore, Lipika required 10.5 hours in total to read the entire book.
