Reviewed by Camille Ira B. Mendoza
.32 as a Fraction
Answer: .32 as a fraction is 8/25
The decimal .32 represents a specific value on the number line, and converting it into a fraction expresses the same quantity in terms of whole numbers. Understanding how to convert a decimal into a fraction is a fundamental math skill that helps in comparing, analyzing, and working with numbers in different forms.
Methods
Math Tutor Explanation Using the Place Value Method
This method relies on the understanding that every digit in a decimal has a place value, which can be used to write the decimal as a fraction.
Step 1: Step 1: Recognize that .32 means 32 hundredths, or 32/100
Step 2: Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common factor (which is 4)
Math Tutor Explanation Using the Division Method
By viewing .32 as 32 divided by 100, we can represent this as a fraction and reduce if possible.
Step 1: Step 1: Write .32 as 32/100
Step 2: Step 2: Simplify 32/100 by dividing both top and bottom by 4 to get 8/25
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Explore similar exercises to strengthen your skills in converting decimals to fractions.
FAQ on Decimals and Fractions
Why do we simplify fractions?
Simplifying fractions makes them easier to work with and understand by reducing them to their lowest terms.
Is .32 a repeating or terminating decimal?
.32 is a terminating decimal because it ends after two digits.
Can all decimals be expressed as fractions?
Yes, all terminating and repeating decimals can be expressed as fractions.
What is the greatest common factor of 32 and 100?
The greatest common factor of 32 and 100 is 4.
How do you check your answer after converting?
To check, divide the numerator by the denominator; 8 divided by 25 equals 0.32.
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