Question

Which statement is true about the sum of two rational numbers? HELLLPPP PLZZZZ It can always be written as a fraction. It can never be written as a fraction. It can always be written as a repeating decimal. It can never be written a terminating decimal.

Answer 1

It can always be written as a fraction.

Answer 2

Answer: The correct statement is it can always be written as a fraction.

Explanation:

Rational numbers are defined as the numbers that is expressed in the form of a fraction that is
`(p)/(q)` where, 'p' and 'q' are two integers and
`q\\eq 0`

We always write final answer of any operation of two rational numbers in the exact form instead of approximate form. The fraction is an exact form while decimals are approximate form.

So, when we add two rational numbers then the final answer after simplification should be in the fractional form.

For Example: Addition of
`(1)/(3)\text{ and }(2)/(3)`

`\Rightarrow (1)/(3)+(2)/(3)=(3)/(3)\\\\\Rightarrow (1)/(1)`

Hence, the correct statement is it can always be written as a fraction.