Nrite the following ratio in its simplest form: 2,1 to 0,7 to 0,014

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UpStudy AI · Accepted Answer

1. Write the ratio with decimal points:
   $$
   2.1 : 0.7 : 0.014
   $$

2. Multiply each term by 1000 to eliminate decimals:
   $$
   2.1 \times 1000 = 2100,\quad 0.7 \times 1000 = 700,\quad 0.014 \times 1000 = 14.
   $$
   The ratio becomes:
   $$
   2100 : 700 : 14.
   $$

3. Divide each term by 7 (the greatest common divisor of 2100, 700, and 14):
   $$
   \frac{2100}{7} = 300,\quad \frac{700}{7} = 100,\quad \frac{14}{7} = 2.
   $$
   Now the ratio is:
   $$
   300 : 100 : 2.
   $$

4. Divide each term by 2 to simplify further:
   $$
   \frac{300}{2} = 150,\quad \frac{100}{2} = 50,\quad \frac{2}{2} = 1.
   $$
   The simplest form of the ratio is:
   $$
   150 : 50 : 1.
   $$

$$
\boxed{150:50:1}
$$
The simplest form of the ratio is 150:50:1.

Nrite the following ratio in its simplest form: 2,1 to 0,7 to 0,014

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