The following number belongs to which set of numbers 1.4 repeating

We need to determine which set of numbers does the given number belong to. The given number is 1.4 where 4 is repeating.

We know that any number that can be written in form, where p and q are integers and q is nonzero, is called a rational number.

Any decimal number with repeating values can be expressed in form. The given number can be expressed as ratio of two integers as:  .

Therefore, the given number belongs to the set of rational numbers.

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47 - 90 = 43

43 - 180 = x

x = 137