Arun bought `1/(4)` kg of ice cream. After his children had eaten some, there was `1/(10)` kg left. How much did his children eat?

Answer

To find out how much ice cream Arun's children ate, we can follow these steps:

### Step 1: Identify the total amount of ice cream and the amount left.
- Total ice cream bought = \( \frac{1}{4} \) kg
- Amount of ice cream left = \( \frac{1}{10} \) kg

### Step 2: Set up the equation to find the amount eaten by the children.
- Amount eaten by children = Total ice cream bought - Amount left
- This can be expressed as:
\[ \text{Amount eaten} = \frac{1}{4} - \frac{1}{10} \]

### Step 3: Find a common denominator to perform the subtraction.
- The denominators are 4 and 10. The least common multiple (LCM) of 4 and 10 is 20.
- Convert both fractions to have the same denominator:
\[ \frac{1}{4} = \frac{5}{20} \quad (\text{since } 1 \times 5 = 5 \text{ and } 4 \times 5 = 20) \]
\[ \frac{1}{10} = \frac{2}{20} \quad (\text{since } 1 \times 2 = 2 \text{ and } 10 \times 2 = 20) \]

### Step 4: Subtract the fractions.
- Now we can subtract the two fractions:
\[ \frac{5}{20} - \frac{2}{20} = \frac{5 - 2}{20} = \frac{3}{20} \]

### Step 5: State the final answer.
- Therefore, the amount of ice cream that Arun's children ate is \( \frac{3}{20} \) kg.

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