Which one of the following is equivalent of 6/20 ?

Options

A. 0.06
B. 0.2
C. 0.26
D. 0.3

Answer

To find which one of the following is equivalent to \( \frac{6}{20} \), we will simplify the fraction step by step.

### Step 1: Simplify the Fraction
To simplify \( \frac{6}{20} \), we need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (20).

The factors of 6 are:
- 1, 2, 3, 6

The factors of 20 are:
- 1, 2, 4, 5, 10, 20

The greatest common factor is 2.

### Step 2: Divide Both the Numerator and Denominator by the GCD
Now, we will divide both the numerator and the denominator by their GCD (2):

\[ \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \]

### Step 3: Identify the Equivalent Fraction
Now, we have simplified \( \frac{6}{20} \) to \( \frac{3}{10} \).

### Step 4: Convert to Decimal (if needed)
To convert \( \frac{3}{10} \) into decimal form:
- Since the denominator is 10, we can directly write it as 0.3.

### Conclusion
Thus, \( \frac{6}{20} \) is equivalent to \( \frac{3}{10} \) or 0.3.