In Prateek's flower garden, `3/(12)` are white roses, `4/(12)` are red roses and the rest are yellow roses. What fraction of roses are yellow?

Answer

To find the fraction of yellow roses in Prateek's flower garden, we will follow these steps:

### Step 1: Identify the fractions of white and red roses.
- The fraction of white roses is given as \( \frac{3}{12} \).
- The fraction of red roses is given as \( \frac{4}{12} \).

### Step 2: Calculate the total fraction of white and red roses.
To find the total fraction of white and red roses, we will add the two fractions together:
\[ \text{Total of white and red roses} = \frac{3}{12} + \frac{4}{12} \]

### Step 3: Add the fractions.
Since both fractions have the same denominator, we can add the numerators directly:
\[ \frac{3 + 4}{12} = \frac{7}{12} \]

### Step 4: Find the fraction of yellow roses.
To find the fraction of yellow roses, we subtract the total fraction of white and red roses from 1 (which represents the whole):
\[ \text{Fraction of yellow roses} = 1 - \frac{7}{12} \]

### Step 5: Convert 1 to a fraction with a denominator of 12.
We can express 1 as \( \frac{12}{12} \):
\[ \text{Fraction of yellow roses} = \frac{12}{12} - \frac{7}{12} \]

### Step 6: Subtract the fractions.
Now, we can subtract the two fractions:
\[ \frac{12 - 7}{12} = \frac{5}{12} \]

### Final Answer:
The fraction of roses that are yellow is \( \frac{5}{12} \).

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