## Unconsolidated Subsidiary

A company may be treated as unconsolidated even when a parent company owns 50% or more of its voting common stock.

This usually occurs when the parent is not in actual control of subsidiary, has temporary control of the subsidiary or if the parent company’s business operations are considerably different than that of the subsidiary.

## Types of Fractions

The fractions can be classified in to four types like fractions, unlike fractions, Proper fraction & improper fraction. This differentiation is vital in various mathematical operations.

fractions having the same denominator are called as like fraction. For example, 2/4 and 3/4 are like fractions as the denominator 4 is same for both the fractions.

fractions having different denominators are called unlike fraction. For example, 3/4 and 1/7 are unlike-fractions as the denominator differs for both the fractions.

fractions having denominator greater than the numerator is called proper fraction. For example, 2/5 & 9/13 are proper fractions as the denominator is grater than numerator

fractions having numerator lesser than the denominator is called improper fraction. For example, 5/3 & 9/4 are improper fraction as the numerator is greater than denominator

## Fractions

Fractions are the rational numbers of the form p/q where q is a non zero number. For q = 0 the fraction would be undefined. Numbers for example 1/5, 2/7, 7/9 etc. represents the fraction and called as simple fractions.

Whereas the numbers like 5 3/4 are called as mixed fractions.

## Highest Common Factor (HCF)

The highest common factor is a quantity obtained from the given quantities and which divides each of them without leaving a remainder.

## Least Common Multiple (LCM)

The LCM is defined as that quantity which is divisible by the quantities of which it is the LCM without leaving the remainder.

## Unbounded Intervals

Intervals which expands indefinitely in both the directions are known as unbounded intervals.
1. (a,infinity) is the set of all real numbers x such that a < x.
2. (–infinity, a) is the set of all real numbers x such that x < a.
3. [a, +infinity) is the set of all real numbers x such that a <= x.
4. (–infinity, a] is the set of all real numbers x such that x <= a.