Reviewed by Janice S. Armas
What is 0.75 as a fraction in simplest form?
Answer: 0.75 as a fraction in simplest form is 3/4
Converting a decimal like 0.75 to a simplified fraction helps express the value in terms of whole-number parts. This conversion is especially useful in mathematics, measurements, and real-world applications where fractions are preferable to decimals.
Methods
Math Tutor Explanation Using the Place Value Method
First, recognize the place value of the decimal (hundredths), write it as a fraction, then simplify.
Step 1: Step 1: Write 0.75 as 75/100 since the last digit is in the hundredths place
Step 2: Step 2: Simplify 75/100 by dividing both numerator and denominator by their greatest common divisor (25)
Math Tutor Explanation Using the Division Method
Alternatively, convert the decimal by dividing it by 1, then simplify the resulting fraction.
Step 1: Step 1: Write 0.75 as 75 divided by 100, or 75/100
Step 2: Step 2: Reduce the fraction by dividing both parts by 25 to get 3/4
Step 1:
Step 2:
Math Tutor suggests: More Practice with Decimals as Fractions
Want to keep practicing how to express decimals as fractions and simplify them? Check out these similar questions to strengthen your skills.
FAQ on Fraction and Decimal Conversion
How do I convert a decimal to a fraction?
Write the decimal as a fraction with the appropriate place value (like tenths or hundredths) and then simplify.
Is 0.75 a terminating decimal?
Yes, because it ends after two decimal places.
What is 0.75 as a percentage?
0.75 as a percentage is 75%.
Why do we simplify fractions?
Fractions are simplified to their lowest terms for clarity and efficiency in calculations.
Can all decimals be converted to fractions?
All terminating and repeating decimals can be written as fractions, but some non-terminating, non-repeating decimals cannot.
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