Reviewed by Camille Ira B. Mendoza
0.16 as a fraction in simplest form is expressed as?
Answer: 0.16 as a fraction in simplest form is 4/25
Converting a decimal like 0.16 to a fraction in simplest form involves a few key steps. First, we write the decimal as a fraction with a denominator of a power of ten, then we reduce it by finding the greatest common factor. This process is fundamental in understanding how decimals relate to fractions and how both represent parts of a whole.
Methods
Math Tutor Explanation Using the Division Method
This method converts the decimal to a fraction by expressing it over a power of ten and then simplifying.
Step 1: Step 1: Write 0.16 as 16/100
Step 2: Step 2: Find the greatest common factor (GCF) of 16 and 100, which is 4
Math Tutor Explanation Using Place Value Understanding
This approach uses knowledge of decimal place values to directly construct the fraction.
Step 1: Step 1: Recognize that 0.16 means sixteen hundredths, or 16/100
Step 2: Step 2: Recall that fractions can be reduced if both numerator and denominator share a factor
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Practice
Strengthen your understanding of converting decimals to fractions in their simplest form with these related questions.
FAQ on Decimal to Fraction Conversion
Why is 0.16 equal to 16/100?
Because 0.16 means sixteen hundredths, which is 16 over 100.
How do I simplify a fraction?
Divide both the numerator and denominator by their greatest common factor (GCF).
Can all decimals be written as fractions?
Yes, all terminating and repeating decimals can be converted to fractions.
Is 4/25 already in simplest form?
Yes, because 4 and 25 have no common factors other than 1.
What if the decimal does not end?
Repeating decimals can be written as fractions using a different process called the geometric series or algebraic method.
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