QUESTION 4 4.1 Write the following ratio in its simplest form: $$ 2,1 \text { to } 0,7 \text { to } 0,014 $$ (2)

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1. Start with the ratio:  
   $$
   2.1 : 0.7 : 0.014
   $$

2. Eliminate decimals by multiplying each term by 1000 (this works well since the maximum number of decimal places is three):  
   $$
   2.1 \times 1000 = 2100,\quad 0.7 \times 1000 = 700,\quad 0.014 \times 1000 = 14.
   $$  
   Thus, the ratio becomes:  
   $$
   2100 : 700 : 14.
   $$

3. Next, simplify the ratio by finding a common factor. Notice that 14 divides each term:  
   $$
   \frac{2100}{14} = 150,\quad \frac{700}{14} = 50,\quad \frac{14}{14} = 1.
   $$  
   So, the simplified ratio is:  
   $$
   150 : 50 : 1.
   $$

4. Check if the numbers have any further common factor. Since the greatest common divisor of 150, 50, and 1 is 1, the ratio is now in its simplest form.

The final answer is:  
$$
150 : 50 : 1.
$$
The simplified ratio is $$150 : 50 : 1$$.

QUESTION 4 4.1 Write the following ratio in its simplest form: \[ 2,1 \text { to } 0,7 \text { to } 0,014 \] (2)

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