Suman had 24 sweets, Kiran had 36 sweets and Preeti had 15 sweets. Suman ate 8 sweets, Kiran ate 12 and Preeti ate 5 sweets. What fraction of their own sweets are they left with?

Answer

To solve the problem step by step, we will calculate the fraction of sweets each person has left after eating some of them.

### Step 1: Calculate the sweets left for Suman
- **Total sweets Suman had**: 24
- **Sweets Suman ate**: 8
- **Sweets left**: 24 - 8 = 16

**Fraction of sweets left**:
\[ \text{Fraction left} = \frac{\text{sweets left}}{\text{total sweets}} = \frac{16}{24} \]

### Step 2: Simplify the fraction for Suman
- To simplify \(\frac{16}{24}\), we find the greatest common divisor (GCD) of 16 and 24, which is 8.
- Divide both the numerator and the denominator by 8:
\[ \frac{16 \div 8}{24 \div 8} = \frac{2}{3} \]

### Step 3: Calculate the sweets left for Kiran
- **Total sweets Kiran had**: 36
- **Sweets Kiran ate**: 12
- **Sweets left**: 36 - 12 = 24

**Fraction of sweets left**:
\[ \text{Fraction left} = \frac{24}{36} \]

### Step 4: Simplify the fraction for Kiran
- To simplify \(\frac{24}{36}\), we find the GCD of 24 and 36, which is 12.
- Divide both the numerator and the denominator by 12:
\[ \frac{24 \div 12}{36 \div 12} = \frac{2}{3} \]

### Step 5: Calculate the sweets left for Preeti
- **Total sweets Preeti had**: 15
- **Sweets Preeti ate**: 5
- **Sweets left**: 15 - 5 = 10

**Fraction of sweets left**:
\[ \text{Fraction left} = \frac{10}{15} \]

### Step 6: Simplify the fraction for Preeti
- To simplify \(\frac{10}{15}\), we find the GCD of 10 and 15, which is 5.
- Divide both the numerator and the denominator by 5:
\[ \frac{10 \div 5}{15 \div 5} = \frac{2}{3} \]

### Final Answer
- **Suman's fraction of sweets left**: \(\frac{2}{3}\)
- **Kiran's fraction of sweets left**: \(\frac{2}{3}\)
- **Preeti's fraction of sweets left**: \(\frac{2}{3}\)

All three have the same fraction of sweets left, which is \(\frac{2}{3}\).