Reviewed by Florence Khitsane
What is 0.0625 as a Fraction?
Answer: 0.0625 as a fraction is 1/16
Converting a decimal like 0.0625 into a fraction is a useful skill in both math exercises and practical applications. This process involves understanding place value and simplifying fractions to their lowest terms.
Methods
Math Tutor Explanation Using Place Value Method
This method takes advantage of the position of each digit after the decimal point and expresses the decimal as a fraction out of a corresponding power of 10.
Step 1: Recognize that 0.0625 has four decimal places, so it's the same as 625 divided by 10,000
Step 2: Write 0.0625 as 625/10,000
Math Tutor Explanation Using the Decimal to Fraction Algorithm
This approach converts a terminating decimal to a fraction by using powers of ten and reducing to simplest form.
Step 1: Count the number of decimal places; for 0.0625 there are four, so place it over 10,000
Step 2: Multiply 0.0625 by 10,000 to get 625, and place it over 10,000, so 0.0625 = 625/10,000
Step 1:
Step 2:
Math Tutor suggests: Master More Decimal to Fraction Conversions
Expand your understanding of converting decimals to fractions with these helpful practice problems.
FAQ on Decimal to Fraction Conversion
How do you simplify fractions?
Divide the numerator and denominator by their greatest common divisor.
Can all decimals be converted to fractions?
Terminating and repeating decimals can be converted to exact fractions; non-repeating, non-terminating decimals cannot.
Why is 0.0625 equal to 1/16?
Because 0.0625 is the same as 625/10,000, which simplifies to 1/16.
What is the greatest common divisor?
It is the largest number that evenly divides both the numerator and denominator.
Is 0.0625 a rational number?
Yes, because it can be written as a ratio of two integers, 1/16.
Math & reading from 1st to 9th grade
Looking for homework support for your child?
Choose kid's grade
