supriya reads 1/3 of a stroybook on the first day and 1/4 of the book on the second day.
What part of the book is yet to be read by supriya ?

Options

A. `7//5`
B. `5//12`
C. `7//12`
D. `5//7`

Answer

To find out what part of the storybook is yet to be read by Supriya, we can follow these steps:

### Step 1: Identify the parts read
Supriya reads:
- On the first day: \( \frac{1}{3} \) of the book
- On the second day: \( \frac{1}{4} \) of the book

### Step 2: Write the equation
Let \( x \) be the part of the book yet to be read. The total of the parts read and the part yet to be read must equal the whole book (which is represented as 1). Therefore, we can write the equation:
\[ \frac{1}{3} + \frac{1}{4} + x = 1 \]

### Step 3: Solve for \( x \)
Rearranging the equation gives:
\[ x = 1 - \left(\frac{1}{3} + \frac{1}{4}\right) \]

### Step 4: Find a common denominator
To perform the addition of \( \frac{1}{3} \) and \( \frac{1}{4} \), we need a common denominator. The least common multiple of 3 and 4 is 12.

Convert \( \frac{1}{3} \) and \( \frac{1}{4} \) to have a denominator of 12:
\[ \frac{1}{3} = \frac{4}{12} \quad \text{and} \quad \frac{1}{4} = \frac{3}{12} \]

### Step 5: Add the fractions
Now we can add the two fractions:
\[ \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \]

### Step 6: Substitute back into the equation
Now substitute back into the equation for \( x \):
\[ x = 1 - \frac{7}{12} \]

### Step 7: Convert 1 to a fraction
Convert 1 to have a denominator of 12:
\[ 1 = \frac{12}{12} \]

### Step 8: Subtract the fractions
Now we can subtract:
\[ x = \frac{12}{12} - \frac{7}{12} = \frac{5}{12} \]

### Conclusion
Thus, the part of the book that is yet to be read by Supriya is:
\[ \frac{5}{12} \]

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