Question

1. convert the following decimals into the simplest fractions.

(1) \\(0.3 =\\)
(2) \\(0.25 =\\)
(3) \\(0.875 =\\)
(4) \\(1.15 =\\)

Explanation:

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

Step 1: Convert \( 0.3 \)

$$ 0.3 = \frac{3}{10} $$

Since \( 3 \) and \( 10 \) share no common factors other than \( 1 \), the fraction is already in its simplest form.

Step 2: Convert \( 0.25 \)

$$ 0.25 = \frac{25}{100} $$

Divide the numerator and the denominator by their greatest common divisor, \( 25 \):

$$ \frac{25 \div 25}{100 \div 25} = \frac{1}{4} $$

Step 3: Convert \( 0.875 \)

$$ 0.875 = \frac{875}{1000} $$

Divide the numerator and the denominator by their greatest common divisor, \( 125 \):

$$ \frac{875 \div 125}{1000 \div 125} = \frac{7}{8} $$

Step 4: Convert \( 1.15 \)

$$ 1.15 = \frac{115}{100} $$

Divide the numerator and the denominator by their greatest common divisor, \( 5 \):

$$ \frac{115 \div 5}{100 \div 5} = \frac{23}{20} $$

Alternatively, as a mixed number:

$$ 1.15 = 1 \frac{15}{100} = 1 \frac{3}{20} $$

Answer:

(1) \( 0.3 = \frac{3}{10} \)

(2) \( 0.25 = \frac{1}{4} \)

(3) \( 0.875 = \frac{7}{8} \)

(4) \( 1.15 = \frac{23}{20} \) (or \( 1 \frac{3}{20} \))