Is 1.33333 a Rational Number?

Yes, 1.33333 is a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the non-zero denominator. In the case of 1.33333, it can be expressed as the fraction 4/3.

Here’s the explanation:

• 1.33333 is a repeating decimal, which means it has a pattern that repeats indefinitely. In this case, the digit ‘3’ repeats.
• To convert a repeating decimal to a fraction, you can use algebraic methods. For 1.33333, let x = 1.33333. Then, multiply both sides by 10 to get 10x = 13.33333.
• Subtract the original equation from this new equation: 10x - x = 13.33333 - 1.33333, which simplifies to 9x = 12.
• Solving for x, you get x = 12/9, which simplifies to 4/3.
• Since 4/3 is a fraction of two integers, 1.33333 is a rational number.