To convert a fraction to a decimal, we divide the numerator (7) by the denominator (9). The result is a recurring decimal, which means the decimal part repeats indefinitely.
Key Facts
- Converting 7/9 to a decimal: To convert a fraction to a decimal, we divide the numerator (7) by the denominator (9). The result is a recurring decimal, which means the decimal part repeats indefinitely.
- Representation of the decimal: The decimal representation of 7/9 is 0.777…. The digit 7 repeats infinitely, indicated by the ellipsis (…). This is denoted as 0.7̅ or 0.7̅7̅.
- Equivalent fraction: An equivalent fraction to 7/9 can be found by multiplying or dividing both the numerator and denominator by the same number. For example, multiplying both by 2 gives 14/18, which simplifies to 7/9.
7 ÷ 9 = 0.777…
The digit 7 repeats infinitely, indicated by the ellipsis (…). This is denoted as 0.7̅ or 0.7̅7̅.
Representation of the Decimal
The decimal representation of 7/9 is 0.777…. The digit 7 repeats infinitely, indicated by the ellipsis (…). This is denoted as 0.7̅ or 0.7̅7̅.
Equivalent Fraction
An equivalent fraction to 7/9 can be found by multiplying or dividing both the numerator and denominator by the same number. For example, multiplying both by 2 gives 14/18, which simplifies to 7/9.
Sources
- https://hellothinkster.com/math-questions/decimals/what-is-7-9-as-a-decimal
- https://argoprep.com/blog/what-is-7-9-as-a-decimal/
- https://socratic.org/questions/how-do-you-convert-7-9-into-a-decimal-and-percent
FAQs
How do you convert 7/9 to a decimal?
To convert 7/9 to a decimal, divide 7 by 9. The result is a recurring decimal, which means the decimal part repeats indefinitely. The decimal representation of 7/9 is 0.777….
What is the decimal representation of 7/9?
The decimal representation of 7/9 is 0.777…. The digit 7 repeats infinitely, indicated by the ellipsis (…). This is denoted as 0.7̅ or 0.7̅7̅.
Is 7/9 a terminating or recurring decimal?
7/9 is a recurring decimal. This means that the decimal part of the number repeats indefinitely.
Can 7/9 be expressed as a fraction with a smaller denominator?
Yes, 7/9 can be expressed as a fraction with a smaller denominator. One way to do this is to multiply both the numerator and denominator by 2, which gives 14/18. This fraction can be simplified to 7/9.
What is an equivalent fraction to 7/9?
An equivalent fraction to 7/9 is a fraction that has the same value. One way to find an equivalent fraction is to multiply or divide both the numerator and denominator by the same number. For example, multiplying both the numerator and denominator of 7/9 by 2 gives 14/18, which is equivalent to 7/9.
How do you convert 7/9 to a percent?
To convert 7/9 to a percent, divide 7 by 9 and then multiply the result by 100. This gives 77.777…. Rounded to two decimal places, 7/9 is approximately 77.78%.
What is the percent error in approximating 7/9 to 0.78?
The percent error in approximating 7/9 to 0.78 is approximately 0.0022%, or 0.022%. This is calculated by finding the absolute difference between 7/9 and 0.78, dividing by 7/9, and then multiplying by 100.
Can 7/9 be represented as a terminating decimal?
No, 7/9 cannot be represented as a terminating decimal. This is because 9 is not a factor of 10, which means that the division of 7 by 9 will not result in a whole number.