Calculate Remaining Fraction: 1/4 + 1/2 of Book Read Over Two Days

Question

Janet reads a book for two days.

On the first day, she reads 14 \frac{1}{4} of the book and on the second day she reads 12 \frac{1}{2} of the book.

How much of the book does she have left to read?

Video Solution

Solution Steps

00:00 What part of the book remains to be read?
00:03 We are given the amount of the book that has already been read
00:06 Let's sum up this amount
00:09 Let's multiply the fraction by 2 to find the common denominator
00:12 Make sure to multiply both numerator and denominator
00:17 Let's calculate the multiplications

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Calculate the total fraction of the book that Janet reads over the two days.
  • Step 2: Subtract this total from the whole to find the remaining fraction of the book.

Now, let's work through each step:

Step 1: Janet reads 14 \frac{1}{4} of the book on the first day and 12 \frac{1}{2} on the second day. First, we convert these fractions to have the same denominator before adding: 14+12=14+24=34 \frac{1}{4} + \frac{1}{2} = \frac{1}{4} + \frac{2}{4} = \frac{3}{4} This means Janet reads 34 \frac{3}{4} of the book in total.

Step 2: To determine how much of the book remains, we subtract this total from the whole book, which is represented by 1: 134=4434=14 1 - \frac{3}{4} = \frac{4}{4} - \frac{3}{4} = \frac{1}{4} This calculation shows that Janet has 14 \frac{1}{4} of the book left to read.

Therefore, the solution to the problem is 14 \frac{1}{4} .

Answer

14 \frac{1}{4}