# The sum of a rational number and a rational number is a rational number. Is this statement true?

A rational number is a number that can be written in the form a/b where a is an integer and b is a non-zero integer.

## Answer: Yes. The sum of a rational number and a rational number is a rational number.

We will use the definition of the rational number to explain the sum of two rational numbers.

## Explanation:

Consider the rational numbers, 1/3 and 4/3

Add the rational numbers, 1/3 and 4/3

Sum = 1/3 + 4/3 = 5/3

5/3 is a rational number.

### Therefore, the sum of a rational number and a rational number is a rational number.

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