Anjali had read `(2)/(3)` of the book when she sat in her school bus. `(1)/(4)` of the book was left when she got off from the bus. How much did she read in the bus?

Answer

To find out how much Anjali read in the bus, we can follow these steps:

### Step 1: Determine the total fraction of the book.
The total fraction of the book is equal to 1 (which represents the whole book).

### Step 2: Calculate the fraction of the book Anjali had read before getting on the bus.
Anjali had read \( \frac{2}{3} \) of the book when she sat in the bus.

### Step 3: Calculate the fraction of the book left when she got off the bus.
When Anjali got off the bus, \( \frac{1}{4} \) of the book was left.

### Step 4: Calculate the fraction of the book she had read after getting off the bus.
To find out how much she read in total after getting off the bus, we subtract the fraction left from the total fraction:
\[ \text{Fraction read} = 1 - \frac{1}{4} = \frac{3}{4} \]

### Step 5: Determine how much she read in the bus.
Now, we need to find out how much she read while on the bus. We subtract the fraction she had read before getting on the bus from the total fraction read after getting off the bus:
\[ \text{Fraction read in the bus} = \frac{3}{4} - \frac{2}{3} \]

### Step 6: Find a common denominator to perform the subtraction.
The least common multiple (LCM) of 4 and 3 is 12. We convert both fractions:
\[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]

### Step 7: Subtract the two fractions.
Now we can subtract:
\[ \frac{9}{12} - \frac{8}{12} = \frac{1}{12} \]

### Conclusion:
Anjali read \( \frac{1}{12} \) of the book while she was on the bus.

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