Mrs Soni bought `15/(2)`litres of milk. Out of this milk `23/(4)` litres was consumed. How much milk is left with her?

Answer

To find out how much milk is left with Mrs. Soni after consuming some of it, we can follow these steps:

### Step 1: Identify the total amount of milk and the amount consumed.
- Total milk = \( \frac{15}{2} \) litres
- Consumed milk = \( \frac{23}{4} \) litres

### Step 2: Set up the equation for remaining milk.
The remaining milk can be calculated using the formula:
\[ \text{Remaining milk} = \text{Total milk} - \text{Consumed milk} \]

### Step 3: Convert the fractions to a common denominator.
The denominators of the fractions are 2 and 4. The least common multiple (LCM) of 2 and 4 is 4. We will convert \( \frac{15}{2} \) to have a denominator of 4.

To convert \( \frac{15}{2} \):
\[ \frac{15}{2} = \frac{15 \times 2}{2 \times 2} = \frac{30}{4} \]

Now we have:
- Total milk = \( \frac{30}{4} \) litres
- Consumed milk = \( \frac{23}{4} \) litres

### Step 4: Subtract the consumed milk from the total milk.
Now we can subtract the two fractions:
\[ \text{Remaining milk} = \frac{30}{4} - \frac{23}{4} \]

Since the denominators are the same, we can subtract the numerators:
\[ \text{Remaining milk} = \frac{30 - 23}{4} = \frac{7}{4} \]

### Step 5: State the final answer.
Thus, the amount of milk left with Mrs. Soni is \( \frac{7}{4} \) litres.

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