The ratio of 8 books to 20 books is

Options

A. `2 : 5`
B. `5 : 2`
C. `4 : 5`
D. `5 : 4`

Answer

To find the ratio of 8 books to 20 books, we can follow these steps:

### Step-by-Step Solution:

1. **Write the Ratio**:
The ratio of 8 books to 20 books can be written as:
\[ \text{Ratio} = \frac{8}{20} \]

2. **Simplify the Fraction**:
To simplify the fraction, we need to find the greatest common divisor (GCD) of 8 and 20.
- The factors of 8 are: 1, 2, 4, 8
- The factors of 20 are: 1, 2, 4, 5, 10, 20
- The GCD of 8 and 20 is 4.

3. **Divide Both Numerator and Denominator by the GCD**:
Now, we divide both the numerator (8) and the denominator (20) by their GCD (4):
\[ \frac{8 \div 4}{20 \div 4} = \frac{2}{5} \]

4. **Write the Final Ratio**:
Therefore, the simplified ratio of 8 books to 20 books is:
\[ \text{Ratio} = 2:5 \]

### Final Answer:
The ratio of 8 books to 20 books is \( 2:5 \).

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