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Since rational numbers are expressed as a/b where a & b are integers, in a sense fractions & rationals means the same thing. Integers may be considered fractions with denominators of 1 or other improper fractions.

In any case, most real numbers are irrational; the rationals are just one type of real number.

Q: Why aren't fractions only rational numbers?

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Only if they are fractions in their simplified form.

Decimals can only be converted into fractions if they are rational numbers

It is rational number because 2.20% is the same as 0.022 which as a fraction in its lowest terms is 11/500 and only rational numbers can be expressed as fractions.

Real numbers include both positive and negative numbers, and also zero; also included are integers and fractions, including all types of fractions (rational, irrational, or transcendental). Only imaginary numbers are not real.

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers

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Only if they are fractions in their simplified form.

Decimals can only be converted into fractions if they are rational numbers

Integers are a subset of the set of all rational numbers. By definition, a rational number can be exactly expressed as the ratio of two integers. Only if the ratio can be simplified so that the denominator is 1 is a rational number an integer.

7/8 is a rational number because only rational numbers can be expressed as fractions

It is rational number because 2.20% is the same as 0.022 which as a fraction in its lowest terms is 11/500 and only rational numbers can be expressed as fractions.

5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

Absolutely. Only fractions can be irrational, numerically speaking (people can also be irrational, but that's a different use of the word).

Real numbers include both positive and negative numbers, and also zero; also included are integers and fractions, including all types of fractions (rational, irrational, or transcendental). Only imaginary numbers are not real.

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers

Both are ways of representing numbers. Fractions can only be used for rational numbers whereas a decimal representation can also be used for irrational numbers. However, all fractions are exact values whereas any fractions whose denominators has a factor other than 2 or 5, and all irrationals can only be represented by decimals that are infinitely long. Since an infinitely long number cannot be written, the decimals for these numbers are approximations.

No, whole numbers are only a small subset of rational numbers.

All integers are rational. Not all rational numbers are integers.