Reviewed by Janice S. Armas
What is 0.36 as a fraction?
Answer: 0.36 as a fraction is 9/25
Converting a decimal like 0.36 into a fraction involves expressing it as a ratio of two integers. This process is useful in mathematics because fractions are often preferred in algebraic manipulations, probability calculations, and many practical scenarios.
Methods
Math Tutor Explanation Using the Place Value Method
You can use the decimal's place value to write it directly as a fraction and then simplify.
Step 1: Step 1: Recognize that 0.36 means 36 hundredths, or 36/100
Step 2: Step 2: Simplify 36/100 by dividing both numerator and denominator by their greatest common divisor, which is 4
Math Tutor Explanation Using the Long Division Method
Alternatively, you can write the decimal as a fraction and reduce, or confirm by dividing.
Step 1: Step 1: Write 0.36 as 36 divided by 100, or 36/100
Step 2: Step 2: Reduce 36/100 by dividing both top and bottom by 4 to get 9/25
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Strengthen your skills by converting more decimals into fractions with these similar exercises.
FAQ on Converting Decimals to Fractions
How do I convert any decimal to a fraction?
Write the decimal as a fraction with the appropriate denominator (10, 100, 1000, etc.) then simplify.
Why do we need to simplify fractions?
Simplifying fractions makes them easier to read, use, and compare.
What if the decimal repeats?
For repeating decimals, use algebraic techniques to express them as fractions.
Is 0.36 a terminating or repeating decimal?
0.36 is a terminating decimal because it has a finite number of digits.
Can all decimals be converted to fractions?
Yes, all rational decimals (terminating or repeating) can be converted to fractions.
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