No, some numbers, eg sqrt 2, are irrational, which means they cannot be written as a ratio between two whole numbers. Some numbers are also transcendental, but you don't want to go there!
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Definitely. A rational number is a number that can be written as a ratio. Every fraction is a ratio. Therefore every fraction represents a rational number.
Yes
Every rational number, which includes integers, can be written as a fraction, with 1 in the denominator [bottom], or you could multiply the number by 2, and have this as the numerator [top], then have 2 in the denominator [bottom]. But when you say every number, the irrational numbers [such as pi, e, square root of 2, etc.]can not be written as a fraction.
True
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.