0.15 in fraction
Understand the Problem
The question is asking to convert the decimal number 0.15 into a fraction. This requires knowledge of how to represent decimal numbers as fractions.
Answer
\(\frac{3}{20}\)
Answer for screen readers
The fraction equivalent of 0.15 is (\frac{3}{20})
Steps to Solve
- Write the decimal as a fraction
To convert the decimal 0.15 to a fraction, write it as $ \frac{0.15}{1} $
- Eliminate the decimal by multiplying numerator and denominator by 100
Since 0.15 has two decimal places, multiply the numerator and the denominator by 100 to get $$ \frac{0.15 \times 100}{1 \times 100} = \frac{15}{100} $$
- Simplify the fraction
To simplify the fraction, find the greatest common divisor (GCD) of 15 and 100, which is 5. Then divide both the numerator and the denominator by their GCD $$ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} $$
The fraction equivalent of 0.15 is (\frac{3}{20})
More Information
Converting 0.15 into a fraction involves eliminating the decimal and simplifying the fraction. Decimal numbers like 0.15 are often used in financial contexts for ease of understanding.
Tips
A common mistake is not simplifying the fraction all the way. Always check if the numerator and denominator have a common divisor.
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