Answer:
a/b is a rational number
Step-by-step explanation:
A rational number is a number that can be written as a fraction
it's a repeating decimal and a terminating decimal.
Some fractions like
1/2 and 3/4 can be written as decimals by making equivalent fractions with denominators of 10, 100, or 1000. In addition, any fraction with a denominator that has a 2 or a 5 as a factor can be a terminating decimal. This is because both 2 and 5 are factors of 10. This makes the fraction easy to create with denominators like 10, 100, and 1000, which are easily converted to terminating decimals.
However, any fraction a/b (where b≠0) can be written as a decimal by dividing the numerator by the denominator. So a/b= a ÷ b.
If the division ends, or terminates, which means the remainder is zero, the decimal is a terminating decimal.
I hope I could help!