Reviewed by Franz Jerby Delos Santos
0.66 as a fraction in simplest form is expressed as?
Answer: 0.66 as a fraction in simplest form is 33/50
Converting a decimal to a fraction involves representing the decimal number as a ratio of two integers. To express 0.66 as a fraction in its simplest form, you need to identify the fractional equivalent and reduce it so both the numerator and denominator share no common factors besides 1.
Methods
Math Tutor Explanation Using the Place Value Method
This method considers the place value of the decimal to express it directly as a fraction. Since 0.66 has two digits after the decimal, it is over 100 before simplification.
Step 1: Step 1: Write 0.66 as 66/100 because it is in the hundredths place
Step 2: Step 2: Simplify the fraction 66/100 by dividing both numerator and denominator by their greatest common divisor, which is 2
Math Tutor Explanation Using the Division Method
This approach finds a fraction whose decimal value matches 0.66, then reduces it if possible.
Step 1: Step 1: Assume 0.66 = x, then write x = 66/100
Step 2: Step 2: Find the greatest common divisor (GCD) of 66 and 100
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Enhance your understanding of converting decimals to fractions in simplest form with these related exercises.
FAQ on Converting Decimals to Fractions
How do you convert a decimal to a fraction?
Write the decimal as a fraction with a denominator based on its place value, then simplify the fraction.
What is the simplest form of 0.66 as a fraction?
The simplest form is 33/50.
Can all decimals be written as fractions?
Terminating and repeating decimals can be written as fractions, but non-repeating, non-terminating decimals cannot.
How do you know if a fraction is in simplest form?
If the numerator and denominator have no common factors other than 1, the fraction is in simplest form.
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