Reviewed by Phoebe Belza-Barrientos
What is 0.375 as a fraction in simplest form?
Answer: 0.375 as a fraction in simplest form is 3/8
Converting a decimal like 0.375 into a fraction involves expressing the decimal part over a power of ten and simplifying the resulting fraction to its lowest terms. This is a common skill used in math to shift between decimal and fraction representations of numbers.
Methods
Math Tutor Explanation Using Place Value Method
By analyzing the place value of the decimal, we can translate it directly into a fraction and then reduce it to lowest terms.
Step 1: Step 1: Write 0.375 as 375 over 1000 since the last digit (5) is in the thousandths place
Step 2: Step 2: Simplify 375/1000 by finding the Greatest Common Factor, which is 125
Math Tutor Explanation Using Division Method
You can also express the decimal as a fraction by considering its numeric value and using the division process.
Step 1: Step 1: Recognize that 0.375 means 375 divided by 1000
Step 2: Step 2: Determine the GCF (Greatest Common Factor) of 375 and 1000, which is 125
Step 1:
Step 2:
Math Tutor suggests: More Practice with Decimal to Fraction Conversions
Continue building your skills in converting decimals to fractions in simplest form with these related exercises.
FAQ on Converting Decimals to Fractions
How do you convert a decimal to a fraction?
Write the decimal as a fraction with the denominator based on place value, then simplify.
Why do we reduce fractions to simplest form?
To make them easier to interpret and compare with other fractions.
What if the decimal doesn’t terminate?
If a decimal repeats, you can use algebraic methods to convert it to a fraction.
Is 0.375 a terminating or repeating decimal?
0.375 is a terminating decimal.
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