How to Convert Decimals to Fractions
Converting a decimal to a fraction involves looking at the place value of the decimal digits.
Write as a fraction
Write the decimal over a power of 10 (10, 100, 1000, etc.) based on the number of decimal places. To go the other way, use our fraction to decimal tool.
0.75 = 75/100 Find the GCD
Find the Greatest Common Divisor (GCD) of the numerator and the denominator.
Simplify
Divide both numbers by the GCD to get the simplest form of the fraction.
75/100 = 3/4 Frequently Asked Questions
How to convert a decimal to a fraction?
To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply both numerator and denominator by 10 for every digit after the decimal point. Finally, simplify the resulting fraction.
How to turn a decimal into a fraction?
Turning a decimal into a fraction involves placing the decimal over its place value (tenths, hundredths, etc.) and simplifying. For example, 0.5 is 5/10, which simplifies to 1/2.
How to convert decimal to fraction?
Convert a decimal to a fraction by determining the place value of the last digit. Write the digits as the numerator and the place value as the denominator, then reduce to lowest terms.
How to make a decimal into a fraction?
To make a decimal into a fraction, count the decimal places. If there are two places, put the number over 100; if there is one place, put it over 10. Simplify the fraction by dividing both parts by their greatest common divisor.
How to change a decimal to a fraction?
Changing a decimal to a fraction is simple: treat the decimal as the numerator and its place value as the denominator. For 0.125, write 125/1000 and simplify to 1/8.
How do you convert a decimal to a fraction?
You convert a decimal to a fraction by identifying the position of the decimal point and using it to set the denominator (10, 100, 1000, etc.). Then, divide both the numerator and denominator by their greatest common factor to simplify.
How to convert a decimal into a fraction?
To convert a decimal into a fraction, write the decimal as a numerator and its corresponding power of 10 as the denominator. Simplify the resulting fraction by finding the greatest common factor.
How to write a decimal as a fraction?
Write a decimal as a fraction by putting the decimal number over 1 and then multiplying the top and bottom by 10 for each decimal place. For example, 0.6 becomes 6/10, which reduces to 3/5.
How to change decimal to fraction?
Change a decimal to a fraction by writing it over its place value (e.g., 0.2 is 2/10) and then simplifying. This works for any terminating decimal.
How to turn a repeating decimal into a fraction?
To turn a repeating decimal into a fraction, use algebra: let x equal the decimal, multiply by a power of 10 to shift one repeating cycle, subtract the original equation, and solve for x.
How to turn decimal into fraction?
To turn a decimal into a fraction, place the decimal value over 10, 100, or 1000 depending on its length. Simplify by dividing the numerator and denominator by their greatest common divisor.
How do you convert 0.5 to a fraction?
To convert 0.5 to a fraction, write it as 5/10 and then simplify it by dividing both numbers by 5. The final result is 1/2.
What is 0.75 as a fraction?
0.75 as a fraction is 75/100, which simplifies to 3/4. Both 75 and 100 are divisible by 25.
What is 0.333 as a fraction?
0.333 is often used as an approximation for 1/3. As a terminating decimal, 0.333 equals 333/1000.
How do you convert a repeating decimal like 0.666 to a fraction?
A repeating decimal like 0.666... is equivalent to 2/3. You can convert it by setting x = 0.666..., multiplying by 10 (10x = 6.666...), and subtracting the first equation from the second to get 9x = 6, or x = 2/3.
What is 0.25 as a fraction?
0.25 as a fraction is 25/100, which simplifies to 1/4. It represents one quarter of a whole.
Can every decimal be written as a fraction?
No, only terminating and repeating decimals can be written as simple fractions. Irrational numbers like Pi or the square root of 2 have non-terminating, non-repeating decimals and cannot be expressed as fractions.
What is the difference between a terminating and a repeating decimal?
A terminating decimal has a finite number of digits (like 0.5), while a repeating decimal has a digit or pattern of digits that repeats infinitely (like 0.333...). Both can be converted into fractions.
How do you simplify a fraction after converting from a decimal?
Simplify a fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number. Continue this process until the only common factor is 1.