What is 0.15 as a fraction?
Understand the Problem
The question is asking to convert the decimal number 0.15 into its fractional form. This involves understanding how decimals relate to fractions and simplifying the fraction, if possible.
Answer
\( \frac{3}{20} \)
Answer for screen readers
The final answer is ( \frac{3}{20} )
Steps to Solve
- Write the decimal as a fraction
0.15 can be written as ( \frac{15}{100} ) because the digits 15 are in the hundredths place.
- Simplify the fraction
To simplify ( \frac{15}{100} ), find the greatest common divisor (GCD) of 15 and 100, which is 5. Divide both the numerator and the denominator by their GCD.
[ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} ]
The final answer is ( \frac{3}{20} )
More Information
Decimals and fractions are two ways to represent the same number. They just use different systems: decimals are based on powers of 10, and fractions are based on ratios.
Tips
A common mistake is to forget to simplify the fraction. Always check if the numerator and denominator have a common divisor greater than 1 to reduce the fraction to its simplest form.
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