Is 0.875 rational or irrational

The number 0.875 is rational.

0.875 is a rational number. A rational number is any number that can be expressed as the ratio of two integers, where the denominator is not zero. In this case, 0.875 can be written as 7/8, which is the ratio of two integers. Therefore, 0.875 is a rational number.

To determine whether 0.875 is rational or irrational, we need to understand the concept of rational and irrational numbers.

Rational numbers are those numbers that can be written as the quotient or ratio of two integers, where the denominator is not zero. In other words, a rational number can be expressed as a fraction in the form of p/q, where p and q are integers, and q is not equal to zero.

On the other hand, irrational numbers are those numbers that cannot be expressed as a fraction or ratio of two integers. They usually have an infinite non-repeating decimal representation.

Now, let's focus on 0.875. This number can be expressed as 7/8. Since 7 and 8 are both integers, and the denominator is not zero, we can conclude that 0.875 is a rational number.

To convert 0.875 into a fraction, divide 7 (the numerator) by 8 (the denominator), and you will get 7/8. Hence, 0.875 is rational.