6. Lipika reads a book for [tex]1 \frac{3}{4}[/tex] hours every day. She reads the entire book in 6 days. How many hours in total were required for her to read the book?



Answer :

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.