Question

convert the following decimals into the simplest fractions.
(1) \\(0.08 =\\)
(2) \\(0.15 =\\)
(3) \\(1.8 =\\)

Explanation:

⚡ Using what you learned: converting between fractions, decimals, percents

Step 1: Convert \( 0.08 \)

$$ 0.08 = \frac{8}{100} = \frac{8 \div 4}{100 \div 4} = \frac{2}{25} $$

Step 2: Convert \( 0.15 \)

$$ 0.15 = \frac{15}{100} = \frac{15 \div 5}{100 \div 5} = \frac{3}{20} $$

Step 3: Convert \( 1.8 \)

$$ 1.8 = \frac{18}{10} = \frac{18 \div 2}{10 \div 2} = \frac{9}{5} \text{ (or } 1\frac{4}{5}\text{)} $$

Answer:

(1) \( \frac{2}{25} \)

(2) \( \frac{3}{20} \)

(3) \( \frac{9}{5} \) (or \( 1\frac{4}{5} \))