Reviewed by Marvi M. Andres
What is 5/12 as a decimal?
Answer: 5/12 as a decimal is 0.4166
Converting a fraction like 5/12 into a decimal allows you to express the number in a way that's often easier to use in calculations and compare with other decimals. This process involves dividing the numerator by the denominator.
Methods
Math Tutor Explanation Using the Division Method
The division method is a straightforward way to convert a fraction to a decimal by dividing the top number (numerator) by the bottom number (denominator).
Step 1: Step 1: Divide 5 by 12
Step 2: Step 2: The result is 0.4166 and continues with the digit 6 recurring
Math Tutor Explanation Using Long Division
You can use long division to find the decimal equivalent of 5/12 by setting up the division of 5 (with a decimal point and zeros added) by 12.
Step 1: Step 1: Write 5.000 and divide by 12
Step 2: Step 2: 12 goes into 50 four times (0.4), 4 times 12 is 48; subtract 48 from 50, get 2
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Keep building your skills at converting fractions to decimals with these related questions.
FAQ on Fraction to Decimal Conversion
Does 5/12 have a terminating or repeating decimal?
5/12 as a decimal is repeating; the digit 6 recurs (0.4166...)
How can I check my answer?
Multiply the decimal you get by 12; it should give you back 5 or close due to rounding.
Why do some fractions repeat when written as decimals?
Fractions that can’t be simplified to a denominator of only 2s and 5s will have repeating decimals.
Can you round 0.4166 to a certain place value?
Yes, 0.4166 rounded to the nearest hundredth is 0.42.
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