Reviewed by Rachelle Bencio Yu
What is 6.25 as a Fraction?
Answer: 6.25 as a fraction is 25/4
Converting decimals to fractions allows us to express numbers more precisely and is an important skill in math. The decimal 6.25 can be rewritten as a fraction by identifying its place value and simplifying appropriately.
Methods
Math Tutor Explanation Using the Place Value Method
This method converts the decimal 6.25 into a fraction by identifying its decimal place and expressing it over a power of 10.
Step 1: Step 1: Write 6.25 as 625/100 because the decimal extends to the hundredths place
Step 2: Step 2: Simplify 625/100 by dividing both numerator and denominator by 25
Math Tutor Explanation Using the Mixed Number Conversion
This approach converts the whole number and decimal part separately, then combines them into a single improper fraction.
Step 1: Step 1: Split 6.25 into 6 (whole part) and 0.25 (decimal part)
Step 2: Step 2: Convert 0.25 to a fraction (0.25 = 1/4)
Step 1:
Step 2:
Math Tutor suggests: Practice Converting Decimals and Fractions
Enhance your skills in writing decimals as fractions with these similar exercises on decimal and fraction conversions.
FAQ on Decimal to Fraction Conversion
Why do we write 6.25 as 625/100 before simplifying?
Because 6.25 has two digits after the decimal, making hundredths the correct denominator.
What is 0.25 as a fraction?
0.25 as a fraction is 1/4.
Can every decimal be written as a fraction?
Every terminating and repeating decimal can be written as a fraction.
Is 25/4 already the simplest form?
Yes, 25/4 is already in its simplest form with no common factors other than 1.
How do you convert a recurring decimal to a fraction?
Recurring decimals can be converted using algebraic methods involving equations and subtraction.
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