Preeti save `2/8` of a chocolate to a friend and `3/6` of the same chocolate to another friend. What fraction of the total chocolate was left with her ?

Options

A. `1/2`
B. `2/3`
C. `1/4`
D. `3/4`

Answer

To solve the problem step by step, we need to determine how much chocolate Preeti saved for her friends and then find out how much is left.

### Step 1: Understand the fractions given
Preeti saved \( \frac{2}{8} \) of the chocolate for one friend and \( \frac{3}{6} \) for another friend.

### Step 2: Simplify the fractions
First, let's simplify the fractions:
- \( \frac{2}{8} = \frac{1}{4} \)
- \( \frac{3}{6} = \frac{1}{2} \)

### Step 3: Add the fractions saved for friends
Now, we need to add the fractions of chocolate that Preeti saved for her friends:
\[ \frac{1}{4} + \frac{1}{2} \]
To add these fractions, we need a common denominator. The least common multiple (LCM) of 4 and 2 is 4.

### Step 4: Convert \( \frac{1}{2} \) to have a denominator of 4
\[ \frac{1}{2} = \frac{2}{4} \]

### Step 5: Add the fractions
Now we can add:
\[ \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \]

### Step 6: Calculate the fraction left
Since Preeti started with a whole chocolate (which we can represent as 1), the fraction of chocolate left is:
\[ 1 - \frac{3}{4} = \frac{1}{4} \]

### Final Answer
The fraction of the total chocolate that was left with Preeti is \( \frac{1}{4} \).

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