Reviewed by Mary Grace Carlos
What is 4/7 as a decimal?
Answer: 4/7 as a decimal is 0.5714
Converting fractions to decimals is a fundamental skill in mathematics. To express a fraction like 4/7 as a decimal, you divide the numerator by the denominator. This process helps in understanding the fraction's value in a different form, which can be useful in calculations, measurements, and real-world applications.
Methods
Math Tutor Explanation Using the Division Method
The most common way to convert a fraction such as 4/7 to a decimal is to perform long division, dividing 4 by 7.
Step 1: Step 1: Set up the division problem, dividing 4 by 7
Step 2: Step 2: Carry out the division to as many decimal places as needed (usually 4 places for rounding)
Math Tutor Explanation Using Calculator Method
You can also use a calculator to quickly convert 4/7 into its decimal form.
Step 1: Step 1: Enter 4 divided by 7 into the calculator
Step 2: Step 2: Observe that the calculator displays 0.571428...; round to 0.5714 for four decimal places
Step 1:
Step 2:
Math Tutor suggests: Practice Similar Fraction to Decimal Conversions
Strengthen your understanding of converting fractions to decimals by exploring these related problems.
FAQ on Converting Fractions to Decimals
Is 4/7 a terminating or repeating decimal?
4/7 is a repeating decimal because its decimal expansion never ends and repeats the digits '571428'.
How many decimal places should I round to?
Rounding to four decimal places, like 0.5714, is common unless another precision is required.
Can all fractions be converted to decimals?
Yes, all fractions can be expressed as decimals, which may either terminate or repeat.
Why is it useful to know a fraction's decimal form?
Decimals are often easier to use in measurements, comparison, and various calculations where precision is needed.
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