Mohit uses `(1)/(8)` of his ink cartridge every day. How much cartridge will he use in the months of July and August?

Answer

To find out how much ink Mohit will use in the months of July and August, we can follow these steps:

### Step 1: Determine the total number of days in July and August.
- July has 31 days.
- August also has 31 days.
- Total days = 31 (July) + 31 (August) = 62 days.

**Hint:** Remember to add the number of days in each month to find the total.

### Step 2: Find out how much ink Mohit uses in one day.
- Mohit uses \( \frac{1}{8} \) of his ink cartridge every day.

**Hint:** This is a straightforward fraction representing the daily usage.

### Step 3: Calculate the total ink used in 62 days.
- Since Mohit uses \( \frac{1}{8} \) of the cartridge each day, over 62 days, he will use:
\[ \text{Total ink used} = \text{Daily usage} \times \text{Total days} = \frac{1}{8} \times 62 \]

### Step 4: Perform the multiplication.
- To multiply \( \frac{1}{8} \) by 62, we can rewrite 62 as a fraction:
\[ \frac{1}{8} \times \frac{62}{1} = \frac{1 \times 62}{8 \times 1} = \frac{62}{8} \]

### Step 5: Simplify the fraction \( \frac{62}{8} \).
- We can simplify \( \frac{62}{8} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{62 \div 2}{8 \div 2} = \frac{31}{4} \]

### Step 6: Convert \( \frac{31}{4} \) into a mixed number.
- \( \frac{31}{4} \) can be converted to a mixed number:
\[ 31 \div 4 = 7 \quad \text{(remainder 3)} \]
- So, \( \frac{31}{4} = 7 \frac{3}{4} \).

### Final Answer:
Mohit will use \( 7 \frac{3}{4} \) of his ink cartridge in the months of July and August.

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