Reviewed by Florence Khitsane
What is 3/7 as a decimal?
Answer: 3/7 as a decimal is 0.428571
When converting a fraction like 3/7 to a decimal, we are finding out what the value of 3 divided by 7 is using decimal notation. This is commonly done by dividing the numerator by the denominator, which often results in a repeating decimal for fractions with denominators not easily converted to a power of 10.
Methods
Math Tutor Explanation Using the Division Method
The most direct way to turn a fraction into a decimal is to divide the numerator by the denominator, using long division if needed.
Step 1: Step 1: Divide 3 by 7 using a calculator or long division
Step 2: Step 2: Note that the quotient is 0.428571, which repeats every six digits
Math Tutor Explanation Using Decimal Approximation Method
If you do not need full precision, you can round the decimal to a certain number of places.
Step 1: Step 1: Find the decimal form as 0.428571 from the division
Step 2: Step 2: Round to the desired number of decimal places (e.g., 0.43 if rounding to two decimal places)
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Looking to strengthen your understanding of converting fractions to decimals? Check out these related exercises for more practice.
FAQ on Converting Fractions to Decimals
Is 3/7 a terminating or repeating decimal?
3/7 is a repeating decimal with the digits 428571 repeating.
How do you write 3/7 as a decimal rounded to the nearest hundredth?
3/7 rounded to the nearest hundredth is 0.43.
Why does 3/7 result in a repeating decimal?
Because 7 is not a factor of 10, its decimal expansion in base 10 does not terminate.
Can all fractions be expressed as decimals?
Yes, all fractions can be expressed as decimals, though some will be repeating rather than terminating.
Math & reading from 1st to 9th grade
Online Summer Camp for Kids and Teens
Choose kid's grade
