Question

[50marks] what is a fraction(definition and conditions) and how is it different from rational numbers? (quality answers only)

Answer 1

a numerical quantity that is not a whole number (e.g. 1/2, 0.5).

a small or tiny part, amount, or proportion of something.

each of the portions into which a mixture may be separated according to a physical property such as boiling point or solubility.

Rational means quantities which can be represented as ratios between whole numbers. If your fractiondoesn't contain irrationals in the numerator or denominator, in otherwords if both the numerator and denominator are both non-irrational and the denominator non-zero, then your fraction is a rational number.

Answer 2

A fraction is a certain way of writing any number. It consists of three parts: a numerator, a denominator, and a line between them. You can also write a number as a decimal expansion, and you can often translate between these two different ways of writing numbers. For instance, 2.52.5 and 5252 both represent the same number, but written differently. Only the second one is a fraction.

A rational number is a special type of number. One way to characterise a rational number is that it can be written as a fraction with integers as numerator and denominator. Another way to characterise them is to say that they can be written with a repeating decimal expansion. Thus the number mentioned in the previous paragraph (the one that may be represented as either 2.52.5 or as 5252) is rational.