Respuesta :
the sum of all positive rational numbers that are less than 10 and that have a denominator 30 is 400.
What is Rational Number?
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that the numerator or denominator doesn't have commonly divisible.
As a small addition, you get 4+12+20+…+76, which is an arithmetic sequence. There are ten terms, so you can use
So the sum will be 10(4+76)/2 = 400
Hence the sum of all positive rational numbers that are less than 10 and that have a denominator 30 is 400.
Learn more about Rational Number , by the following link
https://brainly.com/question/12088221
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