Reviewed by Marvi M. Andres
What is 0.625 as a fraction?
Answer: 0.625 as a fraction is 5/8
Converting a decimal to a fraction is a foundational skill in math, allowing you to represent the same numerical value in different forms. For the decimal 0.625, there are clear steps you can follow to write it as a simplified fraction.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses place value to write the decimal as a fraction before simplifying.
Step 1: Step 1: Recognize that 0.625 means 625 thousandths, so write 0.625 as 625/1000
Step 2: Step 2: Simplify the fraction by dividing both numerator and denominator by their greatest common factor (GCF), which is 125
Math Tutor Explanation Using the Division by 1 Method
Alternatively, you can write the decimal over 1 and move the decimal point to convert it into an integer numerator over a power of 10 denominator.
Step 1: Step 1: Write 0.625 as 0.625/1
Step 2: Step 2: Multiply numerator and denominator by 1000 to eliminate the decimal point, resulting in 625/1000
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Sharpen your skills in converting decimals to fractions with these related exercises.
FAQ on Converting Decimals to Fractions
Why must we simplify fractions?
Simplifying fractions makes them easier to understand and compare, presenting the value in its simplest form.
Can every decimal be written as a fraction?
All terminating or repeating decimals can be written as fractions; non-terminating, non-repeating decimals cannot.
What's the greatest common factor (GCF)?
The GCF of two numbers is the largest number that divides both without a remainder; it's used to simplify fractions.
How do you check if your fraction is correct?
Divide the numerator by the denominator; if the result matches the original decimal, your fraction is correct.
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