Reviewed by Rachelle Bencio Yu
What is .35 as a Fraction?
Answer: .35 as a fraction is 7/20
.35 is a decimal number that can be converted into a fraction by expressing it as a ratio of two integers. Converting decimals to fractions helps us better understand the relationship between numbers and can be useful for comparing values, performing arithmetic, or simplifying expressions.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses the position of the decimal digit to immediately write the decimal as a fraction.
Step 1: Step 1: Identify the place value of the last digit; in .35, the 5 is in the hundredths place
Step 2: Step 2: Write .35 as 35/100
Math Tutor Explanation Using the Decimal to Fraction Conversion Method
Convert the decimal by writing it over a power of 10 and reducing the fraction.
Step 1: Step 1: Write 0.35 as 35 divided by 100 (35/100)
Step 2: Step 2: Find the greatest common factor of 35 and 100, which is 5
Step 1:
Step 2:
Math Tutor suggests: Practice Converting Decimals to Fractions
Want to improve your skills in converting decimals to fractions? Check out these similar exercises to practice more decimal-to-fraction conversions.
FAQ on Decimal to Fraction Conversion
Why do we convert decimals to fractions?
Converting decimals to fractions helps with comparison, simplification, and using these numbers in equations or real-world scenarios.
Can all decimal numbers be written as exact fractions?
Only terminating and repeating decimals can be written as exact fractions. Non-repeating, non-terminating decimals (irrational numbers) cannot.
How do I simplify a fraction after conversion?
Find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
What if the decimal has more than two digits?
Write the number over a power of 10 corresponding to the number of decimal places, then simplify as normal.
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