Reviewed by Mary Grace Carlos
0.21 as a fraction in simplest form is expressed as?
Answer: 0.21 as a fraction in simplest form is 21/100
Converting a decimal like 0.21 to a fraction involves expressing the decimal value as a ratio of two integers in the simplest form. Understanding how to perform this conversion helps in various mathematical applications, such as working with ratios, proportions, and percentages.
Methods
Math Tutor Explanation Using the Place Value Method
This method involves writing the decimal as a fraction based on its place value and then simplifying the fraction if possible.
Step 1: Step 1: Recognize that 0.21 is in the hundredths place, so write it as 21/100
Step 2: Step 2: Check if the fraction 21/100 can be further simplified by dividing both the numerator and the denominator by their greatest common divisor
Math Tutor Explanation Using the Division Method
Convert the decimal to a fraction by treating the decimal as a division problem and simplifying if needed.
Step 1: Step 1: Write 0.21 as 21 divided by 100, which is 21/100
Step 2: Step 2: Simplify the fraction if possible, but 21/100 is already in its simplest form
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Conversion Practice
Keep improving your skills by practicing how to convert decimals to fractions in their simplest form with these related exercises.
FAQ on Decimal to Fraction Conversion
Why is 0.21 written as 21/100?
Because the digit 1 is in the hundredths place, making it 21 hundredths, or 21/100.
Can 21/100 be simplified further?
No, because 21 and 100 have no common factors greater than 1.
How do you convert repeating decimals to fractions?
You use algebraic methods, such as setting the decimal equal to a variable and manipulating equations to solve for the fraction.
Does this method work for all decimals?
Yes, for terminating decimals. For repeating or non-terminating decimals, a slightly different method is needed.
What is the fraction form of 0.2?
0.2 as a fraction is 1/5 in simplest form.
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