Question
What is 19/7 in decimals and is it rational or
Answers
GPT-4o mini
To convert the fraction \( \frac{19}{7} \) into a decimal, you can perform the division:
\[ 19 \div 7 = 2.714285714285714... \]
The decimal is \( 2.714285714285714... \), which is a repeating decimal (specifically, \( 2.\overline{714285} \)).
Since \( \frac{19}{7} \) can be expressed as a fraction of two integers, it is classified as a rational number. Rational numbers are defined as numbers that can be expressed as the quotient of two integers (where the denominator is not zero).
\[ 19 \div 7 = 2.714285714285714... \]
The decimal is \( 2.714285714285714... \), which is a repeating decimal (specifically, \( 2.\overline{714285} \)).
Since \( \frac{19}{7} \) can be expressed as a fraction of two integers, it is classified as a rational number. Rational numbers are defined as numbers that can be expressed as the quotient of two integers (where the denominator is not zero).