is 23/63 an irrational number?
No, 23/63 is not an irrational number. It is a rational number because it can be expressed as a fraction of two integers.
No, 23/63 is not an irrational number. It is a rational number because it can be expressed as a fraction, where both the numerator and denominator are integers.
To determine if a number is irrational, we need to understand that irrational numbers cannot be expressed as fractions of two integers.
To check if the number 23/63 is irrational or not, we need to simplify the fraction to its lowest terms.
To simplify a fraction, we find the greatest common divisor (GCD) of the numerator (23) and the denominator (63), which is the largest number that divides both 23 and 63 without leaving a remainder.
In this case, the GCD of 23 and 63 is 1 since there are no common factors other than 1.
Now, if the fraction is simplified to its lowest terms and we end up with a numerator other than 1, then the fraction is not irrational.
Let's simplify 23/63:
23 ÷ 1 = 23 (since the GCD is 1)
63 ÷ 1 = 63
Therefore, 23/63 cannot be simplified any further.
Since the numerator is not equal to 1 after simplifying, we can conclude that 23/63 is a rational number, not an irrational number.