Decimal to Fraction Calculator — Simplified
Fraction
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Simplified Fraction
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Mixed Number
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How to Convert Decimals to Fractions
To convert a terminating decimal to a fraction, count the decimal places and use that power of 10 as the denominator. For example, 0.375 has 3 decimal places, so write it as 375/1000. Then simplify by dividing both by their GCD (125): 375/1000 = 3/8.
For mixed numbers, if the simplified fraction is improper (numerator >= denominator), divide to find the whole number part and the remainder. For example, 2.75 = 275/100 = 11/4 = 2 3/4.
Converting decimals to fractions is useful in cooking, construction, and mathematics. Fractions are often more precise than decimals (1/3 is exact, while 0.333... is an approximation) and easier to work with in many calculations.
Frequently Asked Questions
How do you simplify a fraction?
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by the GCD. For 375/1000: GCD(375,1000) = 125, so 375/125 = 3 and 1000/125 = 8, giving 3/8.
What is a mixed number?
A mixed number has a whole number part and a proper fraction part, like 2 3/4. It equals the improper fraction 11/4. Mixed numbers are often easier to understand for measurements.
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions (rational numbers). Non-repeating, non-terminating decimals like pi and sqrt(2) cannot be written as fractions (irrational numbers).