Reviewed by Jessica Kaminski
0.27 as a fraction in simplest form is expressed as?
Answer: 0.27 as a fraction in simplest form is 27/100
The process of expressing a decimal number like 0.27 as a fraction in its simplest form involves identifying its place value and reducing the resulting fraction. This makes it easier to work with the value in mathematical contexts where fractions are preferred.
Methods
Math Tutor Explanation Using Place Value Method
This method converts the decimal to a fraction by identifying the denominator based on the decimal's place value.
Step 1: Step 1: Write 0.27 as 27 over 100 since the 7 is in the hundredths place
Step 2: Step 2: Simplify 27/100 if possible; in this case, it is already in simplest form
Math Tutor Explanation Using Long Division Method
This method expresses the decimal as a division and then converts it into a fraction.
Step 1: Step 1: Recognize that 0.27 means 27 divided by 100
Step 2: Step 2: Write the fraction as 27/100 and check for further simplification, confirming it is in simplest form
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Strengthen your skills in converting decimals into fractions in simplest form with these similar exercises.
FAQ on Converting Decimals to Fractions
How do you know when a decimal is already in simplest fractional form?
A fraction is in simplest form when the numerator and denominator have no common factors other than one.
Can all decimals be expressed as fractions?
All terminating and repeating decimals can be written as fractions.
What is the difference between a proper and improper fraction?
A proper fraction has a numerator less than its denominator; improper has a numerator equal to or greater than its denominator.
Why is 27/100 in simplest form?
Because 27 and 100 share no common factors except 1, so the fraction cannot be reduced further.
What if the decimal goes beyond two places?
Use a denominator equal to a power of 10 (e.g., 1000 for three places), then simplify the fraction if possible.
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